%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.220", %%% date = "13 April 2019", %%% time = "17:15:05 MDT", %%% filename = "maple-extract.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "56059 30176 132354 1323752", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography, Maple, symbolic algebra", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This file contains a bibliography of %%% publications about the Maple symbolic algebra %%% system. However, it EXCLUDES publications in %%% the Maple Newsletter, and its successor, the %%% Maple Technical Newsletter, because those %%% journals are covered in a companion %%% bibliography, maple-tech.bib. %%% %%% At version 2.220, the year coverage looked %%% like this: %%% %%% 1981 ( 2) 1994 ( 141) 2007 ( 27) %%% 1982 ( 2) 1995 ( 103) 2008 ( 12) %%% 1983 ( 7) 1996 ( 92) 2009 ( 14) %%% 1984 ( 6) 1997 ( 63) 2010 ( 15) %%% 1985 ( 6) 1998 ( 46) 2011 ( 14) %%% 1986 ( 7) 1999 ( 25) 2012 ( 14) %%% 1987 ( 6) 2000 ( 39) 2013 ( 10) %%% 1988 ( 16) 2001 ( 42) 2014 ( 11) %%% 1989 ( 25) 2002 ( 38) 2015 ( 3) %%% 1990 ( 30) 2003 ( 31) 2016 ( 3) %%% 1991 ( 46) 2004 ( 23) 2017 ( 4) %%% 1992 ( 66) 2005 ( 28) 2018 ( 1) %%% 1993 ( 90) 2006 ( 15) 2019 ( 1) %%% 19xx ( 1) %%% %%% Article: 440 %%% Book: 362 %%% InBook: 1 %%% InCollection: 24 %%% InProceedings: 171 %%% MastersThesis: 8 %%% Misc: 5 %%% Periodical: 1 %%% PhdThesis: 2 %%% Proceedings: 77 %%% TechReport: 34 %%% %%% Total entries: 1125 %%% %%% Further information about Maple and other %%% products of Waterloo Maple Software can be %%% found on the World-Wide Web at URL %%% http://www.maplesoft.com/. %%% %%% Missing data is identified by question marks %%% in strings; the author will be grateful to %%% readers who can provide corrections. %%% %%% This bibliography is sorted by year, and %%% within each year, by author and title key, %%% using ``bibsort -byyear''. Cross-referenced %%% proceedings entries appear at the end, %%% because of a restriction in the current %%% BibTeX. %%% %%% A search of MathSciNet in mid-December 1995 %%% turned up 258 bibliographic references to %%% Maple. After laborious manual conversion %%% to BibTeX form, correction of errors, %%% addition of missing data, elimination of %%% authors named Maple, and elimination of %%% entries already present in this file, this %%% work resulted in the addition of 139 new %%% entries, bringing the total number of %%% entries to 267. Cross-checking of %%% libraries and publishers turned up another %%% 25, pushing the total to 292 at version %%% 2.22. Because the word Maple often does %%% not occur in the title in these new %%% entries, I have added a keywords field to %%% include that information. %%% %%% At version 2.26 [05-Feb-1996], a search of %%% the OCLC Article1st database resulted in %%% the addition of 40 new references (out %%% of a total of 632 articles, most about %%% maple (forests, sugar, syrup, trees, wood, %%% ...)), and updating of another 9. %%% %%% Regrettably, the OCLC database does not %%% usually record final page numbers of %%% journal articles, so there are many page %%% ranges of the form 123--?? in this %%% bibliography. %%% %%% At version 2.31 [12-Apr-1996], searches of %%% the OCLC ERIC, GEOBASE, MEDLINE, %%% PapersFirst, and Proceedings databases, and %%% the Uncover database, produced 79 new %%% entries. %%% %%% At version 2.44 [18-Dec-1996], searches of %%% the Compendex databases (1970--1996) added %%% 27 new entries, and updated 18 others. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{"\input bibnames.sty " # "\input path.sty " # "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \undefined \circled \def \circled #1{(#1)} \fi" # "\ifx \undefined \cprime \let \cprime = ' \fi" # "\ifx \undefined \cyr \let \cyr = \relax \fi" # "\ifx \undefined \k \let \k = \c \immediate\write16{Ogonek accent unavailable: replaced by cedilla}\fi " # "\ifx \undefined \mhy \let \mhy = \relax \fi" # "\ifx \undefined \pkg \def \pkg #1{{{\tt #1}}} \fi" # "\ifx \undefined \reg \def \reg {\circled{R}} \fi" # "\ifx \undefined \TM \def \TM {${}^{\sc TM}$} \fi" # "\hyphenation{ Fuchs-stein-er Griep-en Kath-ryn Ker-n-i-ghan Krom-mes Lar-ra-bee Pat-rick Port-able Post-Script Pren-tice Rich-ard Richt-er Ro-bert Sha-mos Spring-er The-o-dore Uz-ga-lis }" }

%%% ==================================================================== %%% Acknowledgement abbreviations:

@String{ack-ble= "Brian L. Evans, 211-105 Cory Hall, University of California, Berkeley, CA 94720-1770, e-mail: \path|ble@eecs.berkeley.edu|"} @String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"}

%%% ==================================================================== %%% Institution abbreviations:

@String{inst-UTAH-MATH= "University of Utah, Department of Mathematics"} @String{inst-UTAH-MATH:adr= "Salt Lake City, UT 84112-0090, USA"} @String{inst-WATERLOO= "University of Waterloo"} @String{inst-WATERLOO:adr= "Waterloo, Ontario, Canada"} @String{inst-WATERLOO-CS= "Computer Science Department, University of Waterloo"} @String{inst-WATERLOO-CS:adr= "Waterloo, Ontario, Canada"} @String{inst-WATERLOO-ICR= "Institute for Computer Research, University of Waterloo"} @String{inst-WATERLOO-ICR:adr= "Waterloo, Ontario, Canada"} @String{inst-WATERLOO-MATH= "Faculty of Mathematics, University of Waterloo"} @String{inst-WATERLOO-MATH:adr= "Waterloo, Ontario, Canada"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ACM-COMM-COMP-ALGEBRA= "ACM Communications in Computer Algebra"} @String{j-ADV-APPL-PROB= "Adv. Appl. Prob."} @String{j-ADV-APPL-STAT= "Advances and Applications in Statistics"} @String{j-AMER-MATH-MONTHLY= "Amer. Math. Monthly"} @String{j-AMER-STAT= "The American Statistician"} @String{j-ANN-MATH-ARTIF-INTELL= "Annals of mathematics and artificial intelligence"} @String{j-ANN-SCI-MATH-QUEBEC= "Les Annales des sciences math{\'e}matiques du Qu{\'e}bec"} @String{j-APPL-ALGEBRA-ENG-COMMUN-COMPUT= "Applicable algebra in engineering, communication and computing"} @String{j-APPL-MATH= "Applications of Mathematics"} @String{j-APPL-MATH-COMP= "Applied Mathematics and Computation"} @String{j-APPL-MATH-NOTES= "Applied Mathematics Notes"} @String{j-AUSTRALIAN-J-STAT= "Australian journal of statistics"} @String{j-AUSTRALIAN-MATH-SOC-GAZ= "Austral. Math. Soc. Gaz."} @String{j-BEHAV-RES-METH-INSTR-COMP= "Behavior research methods, instruments, and computers"} @String{j-BIT= "BIT"} @String{j-BYTE= "BYTE Magazine"} @String{j-C-R-MATH-I= "C. R. Acad. Sci. Paris S{\'e}r. I Math."} @String{j-CEE= "CEE. Chemical engineering education"} @String{j-CELEST-MECH= "Celestial mechanics"} @String{j-CLASS-QUANTUM-GRAV= "Class. Quant. Grav."} @String{j-COED= "CoED"} @String{j-COLLOQ-MATH= "Colloq. Math."} @String{j-COMMUN-ALGEBRA= "Communications in Algebra"} @String{j-COMP-FLUIDS= "Computers and Fluids"} @String{j-COMP-PHYS-COMM= "Computer Physics Communications"} @String{j-COMPUT-PHYS= "Computers in Physics"} @String{j-COMP-STRUCTURES= "Computers and structures"} @String{j-COMPLEX-VARIABLES-THEORY-APPL= "Complex variables, theory and application"} @String{j-COMPUT-APPL-ENG-EDUC= "Computer Applications in Engineering Education"} @String{j-COMPUT-CHEM= "Computers and Chemistry"} @String{j-COMPUT-MATH-APPL= "Computers and Mathematics with Applications"} @String{j-COMPUT-METH-APPL-MECH-ENG= "Computer Methods in Applied Mechanics and Engineering"} @String{j-COMPUT-SCI-ENG= "Computing in Science and Engineering"} @String{j-COMPUT-STAT-DATA-ANAL= "Computational Statistics \& Data Analysis"} @String{j-COMPUTER= "Computer"} @String{j-CRYPTOLOGIA= "Cryptologia"} @String{j-CSSP= "Circuits, systems, and signal processing: {CSSP}"} @String{j-CYBERNETICS-SYSTEMS= "Cybernetics and Systems"} @String{j-DISCRETE-COMPUT-GEOM= "Discrete and Computational Geometry"} @String{j-DISCRETE-MATH= "Discrete Math."} @String{j-DOKL-AKAD-NAUK= "Doklady Akademii nauk SSSR"} @String{j-DUKE-MATH-J= "Duke Math. J."} @String{j-DYNAMICS-CONTROL= "Dynamics Control"} @String{j-ELECTRONICS-WORLD-WIRELESS-WORLD= "Electronics world + wireless world"} @String{j-ELECTRONIK= "Elektronik"} @String{j-ENG-FRACTURE-MECH= "Engineering fracture mechanics"} @String{j-EXP-MATH= "Experimental mathematics"} @String{j-FUT-GEN-COMP-SYS= "Future Generation Computer Systems"} @String{j-GEN-RELATIVITY-GRAV= "General relativity and gravitation"} @String{j-IEEE-COMPUT-SCI-ENG= "IEEE Computational Science \& Engineering"} @String{j-IEEE-TRANS-AUTOMAT-CONTR= "IEEE Transactions on Automatic Control"} @String{j-IEEE-TRANS-EDUC= "IEEE transactions on education"} @String{j-IEEE-TRANS-MAGNETICS= "IEEE Transactions on Magnetics"} @String{j-IEEE-TRANS-POWER-SYSTEMS= "IEEE Transactions on Power Systems"} @String{j-IEEE-TRANS-SIG-PROC= "IEEE Transactions on Signal Processing"} @String{j-IFIP-TRANS-A= "IFIP Transactions. A. Computer Science and Technology"} @String{j-IJQC= "International Journal of Quantum Chemistry"} @String{j-INFORM-THEOR-APPL= "RAIRO. Informatique th{\'e}orique et applications := Theoretical informatics and applications"} @String{j-INT-J-APPL-MATH= "International Journal of Applied Mathematics"} @String{j-INT-J-BIFURC-CHAOS-APPL-SCI-ENG= "International journal of bifurcation and chaos in applied sciences and engineering"} @String{j-INT-J-MATH-EDU-SCI-TECH= "International journal of mathematical education in science and technology"} @String{j-INT-J-MATH-MATH-SCI= "International journal of mathematics and mathematical sciences"} @String{j-INT-J-MOD-PHYS-C= "International Journal of Modern Physics C [Physics and Computers]"} @String{j-INT-J-ROBOTICS-AUTOMATION= "International Journal of Robotics and Automation"} @String{j-INT-J-SYST-SCI= "International Journal of Systems Science"} @String{j-INTERVAL-COMP= "Interval Computations = Interval'nye vychisleniia"} @String{j-J-ALGEBRA= "Journal of Algebra"} @String{j-J-AM-STAT-ASSOC= "Journal of the American Statistical Association"} @String{j-J-APPL-ECONOMETRICS= "Journal of Applied Econometrics"} @String{j-J-AUTOM-REASON= "Journal of Automated Reasoning"} @String{j-J-COMB-THEORY-A= "Journal of Combinatorial Theory (Series A)"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-PHYS= "Journal of Computational Physics"} @String{j-J-DYN-SYST-MEAS-CONTROL= "Journal of Dynamic Systems, Measurement, and Control"} @String{j-J-MATH-PHYS= "J. Math. Phys."} @String{j-J-OPEN-RES-SOFT= "Journal of Open Research Software"} @String{j-J-PHYS-A= "J. Phys. A"} @String{j-J-R-STAT-SOC-SER-D-STATISTICIAN= "Journal of the Royal Statistical Society. Series D (The Statistician)"} @String{j-J-SOUND-VIB= "Journal of Sound and Vibration"} @String{j-J-STAT-COMPUT-SIMUL= "Journal of Statistical Computation and Simulation"} @String{j-J-SYMBOLIC-COMP= "Journal of Symbolic Computation"} @String{j-JARATAZA= "Journal A. Revue A. Tijdschrift A. Zeitschrift A"} @String{j-LAB-MICROCOMP= "Laboratory microcomputer"} @String{j-LECT-NOTES-COMP-SCI= "Lecture Notes in Computer Science"} @String{j-LECT-NOTES-MATH= "Lecture Notes in Mathematics"} @String{j-LINEAR-ALGEBRA-APPL= "Linear Algebra and its Applications"} @String{j-LINUX-J= "Linux Journal"} @String{j-MACUSER= "MacUser"} @String{j-MACWORLD= "Macworld"} @String{j-MANUSCR-MATH= "Manuscripta Mathematica"} @String{j-MAT-CONTEMP= "Matem{\'a}tica Contempor{\^a}nea"} @String{j-MATH-COMP-EDU= "Mathematics and computer education"} @String{j-MATH-COMP-MODELLING= "Mathematical and computer modelling"} @String{j-MATH-COMP-SIM= "Mathematics and Computers in Simulation"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-MODEL-NUM-ANA= "Mathematical modelling and numerical analysis = Modelisation math{\'e}matique et analyse num{\'e}rique: $M^2AN$"} @String{j-MATH-MODELS-METHODS-APPL-SCI= "Mathematical models and methods in applied sciences"} @String{j-MATH-SEMESTERBER= "Mathematische Semesterberichte"} @String{j-MATH-TODAY= "Mathematics Today"} @String{j-MODELLING-MEASUREMENT-CONTROL-B= "Modelling, Measurement \& Control B: Solid \& Fluid Mechanics \& Thermics, Mechanical Systems"} @String{j-NAMS= "Notices of the American Mathematical Society"} @String{j-NONLINEARITY= "Nonlinearity (Bristol)"} @String{j-NUMER-ALGEBRA-CONTROL-OPTIM= "Numerical Algebra, Control and Optimization"} @String{j-PARALLEL-DIST-COMP-PRACT= "PDCP: Parallel and Distributed Computing Practices"} @String{j-PC-MAGAZINE= "PC Magazine"} @String{j-PHYS-BL= "{Physikalische Bl{\"a}tter}"} @String{j-PROC-ASEE-ANNU-CONF= "American Society for Engineering Education Annual Conference. Proceedings"} @String{j-PROC-IEEE-CONF-DECISION-CONTROL= "Proceedings of the IEEE Conference on Decision and Control"} @String{j-PROC-LONDON-MATH-SOC= "Proceedings of the London Mathematical Society. Third Series"} @String{j-PROC-ROY-SOC-LONDON-SER-A= "Proc. Roy. Soc. London Ser. A"} @String{j-PROG-SURF-SCI= "Progress in Surface Science"} @String{j-PROGRAMMIROVANIE= "Programmirovanie"} @String{j-RES-DEV= "Research \& Development"} @String{j-RESULTS-MATH= "Results in Mathematics = Resultate der Mathematik"} @String{j-SCI-COMPUT-PROGRAM= "Science of Computer Programming"} @String{j-SCI-PROG= "Scientific Programming"} @String{j-SCITECH-J= "SciTech Journal"} @String{j-SCPE= "Scalable Computing: Practice and Experience"} @String{j-SIAM-J-APPL-MATH= "SIAM J. of Applied Math."} @String{j-SIAM-J-SCI-STAT-COMP= "SIAM J. Scient. Stat. Comput."} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-SIGCSE= "SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)"} @String{j-SIGMOD= "SIGMOD Record (ACM Special Interest Group on Management of Data)"} @String{j-SIGPLAN= "ACM SIGPLAN Notices"} @String{j-SIGSAM= "SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)"} @String{j-SIMON-STEVIN= "Simon Stevin"} @String{j-SOFTWAREX= "SoftwareX"} @String{j-SPE= "Soft\-ware\emdash Prac\-tice and Experience"} @String{j-STAT-COMP= "Statistics and Computing"} @String{j-THEOR-COMP-SCI= "Theoretical Computer Science"} @String{j-TOG= "ACM Transactions on Graphics"} @String{j-TOKYO-J-MATH= "Tokyo journal of mathematics"} @String{j-TOMS= "ACM Transactions on Mathematical Software"} @String{j-TRANS-AMS= "Trans. Amer. Math. Soc."} @String{j-WESCON-CONF-REC= "WESCON Conference Record"} @String{j-ZEIT-ANGE-MATH-PHYS= "Zeitschrift f{\"u}r Angewandte Mathematik und Physik"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-A-K-PETERS= "A. K. Peters, Ltd."} @String{pub-A-K-PETERS:adr= "Wellesley, MA, USA"} @String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, NY, USA"} @String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-AIP= "American Institute of Physics"} @String{pub-AIP:adr= "Woodbury, NY, USA"} @String{pub-AMS= "Amer. Math. Soc."} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-ARTECH= "Artech House Inc."} @String{pub-ARTECH:adr= "Norwood, MA, USA"} @String{pub-AW= "Ad{\-d}i{\-s}on-Wes{\-l}ey"} @String{pub-AW:adr= "Reading, MA, USA"} @String{pub-AW-IBEROAMERICANA= "Ad{\-d}i{\-s}on-Wes{\-l}ey Iberoamericana"} @String{pub-AW-IBEROAMERICANA:adr= "Wilmington, DE, USA"} @String{pub-BALTZER= "J. C. Baltzer AG, Scientific Publishing Company"} @String{pub-BALTZER:adr= "Basel, Switzerland"} @String{pub-BIRKHAUSER= "Birkh{\"{a}}user"} @String{pub-BIRKHAUSER:adr= "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-BIRKHAUSER-BOSTON= "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr= "Cambridge, MA, USA"} @String{pub-BROOKS-COLE= "Brooks\slash Cole"} @String{pub-BROOKS-COLE:adr= "Pacific Grove, CA, USA"} @String{pub-CAMBRIDGE= "Cambridge University Press"} @String{pub-CAMBRIDGE:adr= "Cambridge, UK"} @String{pub-CHARTWELL-BRATT= "Chartwell-Bratt"} @String{pub-CHARTWELL-BRATT:adr= "Bromley, Kent, UK"} @String{pub-CHAPMAN-HALL-CRC= "Chapman and Hall/CRC"} @String{pub-CHAPMAN-HALL-CRC:adr= "Boca Raton, FL, USA"} @String{pub-CLARENDON= "Clarendon Press"} @String{pub-CLARENDON:adr= "New York, NY, USA"} @String{pub-CRC= "CRC Press"} @String{pub-CRC:adr= "2000 N.W. Corporate Blvd., Boca Raton, FL 33431-9868, USA"} @String{pub-CUP= "Cambridge University Press"} @String{pub-CUP:adr= "Cambridge, UK"} @String{pub-DEKKER= "Marcel Dekker, Inc."} @String{pub-DEKKER:adr= "New York, NY, USA"} @String{pub-DELMAR-PUB= "Delmar Publishers"} @String{pub-DELMAR-PUB:adr= "Albany, NY, USA"} @String{pub-DPUNKT-VERLAG= "dpunkt-Verlag"} @String{pub-DPUNKT-VERLAG:adr= "Heidelberg, Germany"} @String{pub-DUNOD= "Dunod"} @String{pub-DUNOD:adr= "Paris, France"} @String{pub-ELBI= "ELBI-Verlag GmbH"} @String{pub-ELBI:adr= "????"} @String{pub-ELSEVIER= "Elsevier"} @String{pub-ELSEVIER:adr= "Amsterdam, The Netherlands"} @String{pub-ELSEVIER-ACADEMIC= "Elsevier Academic Press"} @String{pub-ELSEVIER-ACADEMIC:adr= "Amsterdam, The Netherlands"} @String{pub-EYROLLES= "Eyrolles"} @String{pub-EYROLLES:adr= "Paris, France"} @String{pub-HARCOURT-ACADEMIC= "Harcourt/Academic Press"} @String{pub-HARCOURT-ACADEMIC:adr= "San Diego"} @String{pub-HARPERCOLLINS= "HarperCollins College Publishers"} @String{pub-HARPERCOLLINS:adr= "New York, NY, USA"} @String{pub-HEATH= "D. C. Heath and Company"} @String{pub-HEATH:adr= "Lexington, MA, USA"} @String{pub-IEE= "IEE"} @String{pub-IEE:adr= "London, UK"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-INRIA= "INRIA (Institut National de Recherche en Informatique et en Automatique)"} @String{pub-INRIA:adr= "Rocquencourt, France"} @String{pub-ITCP= "International Thomson Computer Press"} @String{pub-ITCP:adr= "20 Park Plaza Suite 1001, Boston, MA 02116 USA"} @String{pub-ITP= "International Thomson Publishing"} @String{pub-ITP:adr= "Bonn, Germany"} @String{pub-JW= "John Wiley"} @String{pub-JW:adr= "New York, NY, USA"} @String{pub-KENDALL-HUNT= "Kendall/Hunt Publishing Company"} @String{pub-KENDALL-HUNT:adr= "Dubuque, IA, USA"} @String{pub-KLUWER= "Kluwer Academic Publishers Group"} @String{pub-KLUWER:adr= "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-MAPLESOFT= "Maplesoft"} @String{pub-MAPLESOFT:adr= "Waterloo, ON, Canada N2L 6C2"} @String{pub-MASSON= "Masson Editeur"} @String{pub-MASSON:adr= "Paris, France"} @String{pub-MCGRAW-HILL= "Mc{\-}Graw-Hill"} @String{pub-MCGRAW-HILL:adr= "New York, NY, USA"} @String{pub-NH= "North-Holland Publishing Co."} @String{pub-NH:adr= "Amsterdam, The Netherlands"} @String{pub-PEARSON-EDUCATION= "Pearson Education"} @String{pub-PEARSON-EDUCATION:adr= "Upper Saddle River, NJ, USA"} @String{pub-PH= "Pren{\-}tice-Hall"} @String{pub-PH:adr= "Englewood Cliffs, NJ 07632, USA"} @String{pub-PHC= "Pren{\-}tice-Hall Canada"} @String{pub-PHC:adr= "Scarborough, Ontario, Canada"} @String{pub-PRINCETON= "Princeton University Press"} @String{pub-PRINCETON:adr= "Princeton, NJ, USA"} @String{pub-PWS= "PWS-Kent Publishing Company, Division of Wadsworth, Inc."} @String{pub-PWS:adr= "20 Park Plaza, Boston, MA 02116, USA"} @String{pub-SAUNDERS= "Saunders College Publishing"} @String{pub-SAUNDERS:adr= "Ft. Worth, TX, USA"} @String{pub-SMS-QMWC-UL= "School of Mathematical Sciences, Queen Mary and Westfield College (University of London)"} @String{pub-SMS-QMWC-UL:adr= "Mile End Road, London E1 4NS, England"} @String{pub-SV= "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-SV-VIENNA= "Spring{\-}er"} @String{pub-SV-VIENNA:adr= "Vienna, Austria"} @String{pub-TELOS= "TELOS division of Springer-Verlag"} @String{pub-TELOS:adr= "Santa Clara, CA, USA and New York, NY, USA"} @String{pub-VIEWEG= "Friedrich Vieweg und Sohn"} @String{pub-VIEWEG:adr= "Braunschweig, Germany"} @String{pub-WADSWORTH= "Wadsworth and Brooks/Cole Publishing Company"} @String{pub-WADSWORTH:adr= "Pacific Grove, CA, USA"} @String{pub-WATCOM= "WATCOM Publications Limited"} @String{pub-WATCOM:adr= "415 Philip St, Waterloo, Ontario N2L 3X2, Canada"} @String{pub-WATERLOO= "University of Waterloo"} @String{pub-WATERLOO-MAPLE= "Waterloo Maple Publishing"} @String{pub-WATERLOO-MAPLE-SOFTWARE= "Waterloo Maple Software"} @String{pub-WATERLOO-MAPLE-SOFTWARE:adr= "Waterloo, Ontario, Canada"} @String{pub-WATERLOO-MAPLE:adr= "160 Columbia St, Waterloo, Ontario N2L 3L3, Canada"} @String{pub-WATERLOO:adr= "Waterloo, Ontario, Canada"} @String{pub-WCB= "William C. Brown Company Publishers"} @String{pub-WCB:adr= "Dubuque, IA, USA"} @String{pub-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"} @String{pub-WORLD-SCI= "World Scientific Publishing Co. Pte. Ltd."} @String{pub-WORLD-SCI:adr= "P. O. Box 128, Farrer Road, Singapore 9128"}

%%% ==================================================================== %%% Series abbreviations:

@String{ser-LNCS= "Lecture Notes in Computer Science"}

%%% ==================================================================== %%% Bibliography entries:

@TechReport{Geddes:1981:MUMa, author = "Keith O. Geddes and Gaston H. Gonnet and Bruce W. Char", title = "{Maple} User's Manual", number = "CS-81-25", institution = inst-WATERLOO-CS, address = inst-WATERLOO-CS:adr, edition = "Second", pages = "40", year = "1981", bibdate = "Sun Oct 12 11:49:31 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @TechReport{Geddes:1981:MUMb, author = "Keith O. Geddes and Gaston H. Gonnet and Bruce W. Char", title = "{Maple} User's Manual", number = "CS-82-40", institution = inst-WATERLOO-CS, address = inst-WATERLOO-CS:adr, edition = "Second", pages = "iv + 95", year = "1981", bibdate = "Sun Oct 12 11:49:37 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Voda:1982:MPL, author = "P. J. Voda", title = "Maple: a Programming Language and Operating System", crossref = "ACM:1982:CRN", pages = "157--168", year = "1982", bibdate = "Thu Aug 11 21:58:09 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Maple is a statically typed language system, which very general generic facilities. It incorporates its own programming environment, and provides parallel processing with a new method of process synchronization. The synchronization is the direct outgrowth of its data abstraction facilities.", acknowledgement = ack-nhfb, sjb = "Contains lots of nice features, but hadn't been implemented at the time of the paper.", } @Book{Buchberger:1983:CAS, author = "B. Buchberger and G. E. Collins and R. Loos and R. Albrecht", title = "Computer algebra: symbolic and algebraic computation", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "vi + 283", year = "1983", ISBN = "0-387-81776-X", ISBN-13 = "978-0-387-81776-7", LCCN = "QA155.7.E4 C65 1983", bibdate = "Thu Dec 28 13:48:31 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$24.50", acknowledgement = ack-nhfb, keywords = "algorithms; measurement; theory", review = "ACM CR 8408-0605", subject = "I.1 Computing Methodologies, ALGEBRAIC MANIPULATION, General", } @InProceedings{Char:1983:DMC, author = "B. W. Char and K. O. Geddes and W. M. Gentleman and G. H. Gonnet", title = "The design of {Maple}: a compact, portable and powerful computer algebra system", crossref = "vanHulzen:1983:CAE", pages = "101--115", year = "1983", bibdate = "Sat Aug 13 17:01:28 MDT 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "languages; theory", subject = "D.3 Software, PROGRAMMING LANGUAGES, Language Classifications \\ D.3.4 Software, PROGRAMMING LANGUAGES, Processors, Code generation", } @TechReport{Char:1983:IMS, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet", title = "An Introduction to {Maple}: Sample Interactive Session", number = "CS-83-16", institution = inst-WATERLOO-MATH, address = inst-WATERLOO-MATH:adr, pages = "15", year = "1983", bibdate = "Fri Jul 08 08:24:18 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Char:1983:MSC, author = "Bruce Char and Keith Geddes and Gaston Gonnet", title = "The {Maple} symbolic computation system", journal = j-SIGSAM, volume = "17", number = "3--4", pages = "31--42", month = aug # "\slash " # nov, year = "1983", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Wed Oct 5 08:31:58 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo, Ont., Canada", fjournal = "SIGSAM Bulletin", issue = "67/68", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "algebra; algebraic computation; design; human factors; interactive systems; languages; Maple; Maple programming; symbolic computation; user/system interaction", subject = "D.4.7 Software, OPERATING SYSTEMS, Organization and Design, Interactive systems \\ H.1.2 Information Systems, MODELS AND PRINCIPLES, User/Machine Systems, Human factors \\ G.1.0 Mathematics of Computing, NUMERICAL ANALYSIS, General, Computer arithmetic \\ G.1.5 Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations \\ F.3.3 Theory of Computation, LOGICS AND MEANINGS OF PROGRAMS, Studies of Program Constructs, Program and recursion schemes \\ D.3.2 Software, PROGRAMMING LANGUAGES, Language Classifications, Extensible languages \\ D.3.3 Software, PROGRAMMING LANGUAGES, Language Constructs, Data types and structures", treatment = "T Theoretical or Mathematical", } @TechReport{Geddes:1983:MUM, author = "Keith O. Geddes and Gaston H. Gonnet and Bruce W. Char", title = "{MAPLE}: User's Manual", number = "CS-83-41", institution = inst-WATERLOO-MATH, edition = "Third", pages = "130", year = "1983", bibdate = "Fri Jul 08 08:33:42 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @TechReport{Watt:1983:ATM, author = "Stephen Michael Watt and Keith O. Geddes", title = "Arrays and Tables in {Maple}. Supplement to the {Maple} User's Manual", number = "CS-83-10", institution = inst-WATERLOO-CS, address = inst-WATERLOO-CS:adr, pages = "27", year = "1983", bibdate = "Sun Oct 12 11:49:42 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @TechReport{Char:1984:DMC, author = "Bruce W. Char and others", title = "The Design of {Maple}: a Compact, Portable, and Powerful Computer Algebra System", number = "CS-83-06", institution = inst-WATERLOO-ICR, address = inst-WATERLOO-ICR:adr, pages = "13", year = "1984", bibdate = "Wed Dec 27 16:39:40 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Work appeared in Computer Algebra proceedings of Eurocal'83-European computer Algebra Conference, London, England, March 1983, pp. 101--115, Springer-Verlag, Berlin, 1983.", acknowledgement = ack-nhfb, } @InProceedings{Char:1984:DPMa, author = "B. Char and G. Fee and K. O. Geddes and G. H. Gonnet and M. B. Monagen and S. M. Watt", title = "On the Design and Performance of the {Maple} System", crossref = "Golden:1984:PMU", pages = "199", year = "1984", bibdate = "Sat Apr 29 18:01:46 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @TechReport{Char:1984:DPMb, author = "Bruce W. Char and others", title = "On the Design and Performance of the {Maple} System", number = "CS-84-13", institution = inst-WATERLOO-MATH, address = inst-WATERLOO-MATH:adr, pages = "35", year = "1984", bibdate = "Wed Dec 27 16:39:42 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @TechReport{Char:1984:IMS, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet", title = "An Introduction to {Maple}: Sample Interactive Session", number = "CS-84-04", institution = inst-WATERLOO-MATH, pages = "15", year = "1984", bibdate = "Fri Jul 08 08:50:10 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{McGeer:1984:DIB, author = "Patrick C. McGeer", title = "A discussion and implementation of {Brown}'s {REX} simplification algorithm", journal = j-SIGSAM, volume = "18", number = "1", pages = "10--19", month = feb, year = "1984", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Wed Oct 5 08:31:58 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Electrical Engng. and Computer Sci., Univ. of California, Berkeley, CA, USA", fjournal = "SIGSAM Bulletin", issue = "69", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "Computation System; exponential expressions; expressions; Maple Symbolic; normal form algorithm; programming theory; rational; simplification algorithm; University of Waterloo", treatment = "T Theoretical or Mathematical", } @TechReport{Char:1985:MSI, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet", title = "{Maple}: a Sample Interactive Session", number = "CS-85-01", institution = inst-WATERLOO-MATH, pages = "19", year = "1985", bibdate = "Fri Jul 08 08:44:24 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Char:1985:MUGa, author = "Bruce W. Char and others", title = "{Maple} User's Guide: First Leaves, a Tutorial Introduction to {Maple} and {Maple} Reference Manual", publisher = pub-WATCOM, address = pub-WATCOM:adr, edition = "Fourth", pages = "xiii + 310", year = "1985", ISBN = "0-919884-51-2", ISBN-13 = "978-0-919884-51-9", LCCN = "QA76.8.M46 M36 1985", bibdate = "Wed Dec 27 16:39:44 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Char:1985:MUGb, author = "Bruce W. Char and others", title = "{Maple} User's Guide: First Leaves, a Tutorial Introduction to {Maple} and {Maple} Reference Manual", publisher = pub-WATCOM, address = pub-WATCOM:adr, edition = "Fourth", pages = "xiii + 310", year = "1985", ISBN = "0-919884-01-6", ISBN-13 = "978-0-919884-01-4", LCCN = "QA155.7.E4 M3 1985", bibdate = "Wed Dec 27 16:39:45 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @TechReport{Char:1985:TIM, author = "Bruce W. Char and others", title = "A Tutorial Introduction to {Maple}", number = "CS-85-56", institution = inst-WATERLOO-MATH, address = inst-WATERLOO-MATH:adr, pages = "27", year = "1985", bibdate = "Wed Dec 27 16:39:47 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Hui:1985:SCS, author = "W. H. Hui and G. Tenti", title = "Symbolic computation of the {Stokes} wave", crossref = "Pavelle:1985:ACA", pages = "329--337", year = "1985", MRclass = "76B15 (76-04)", MRnumber = "87d:76032", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", } @InProceedings{Char:1986:CAU, author = "B. W. Char and K. O. Geddes and G. H. Gonnet and B. J. Marshman and P. J. Ponzo", title = "Computer algebra in the undergraduate mathematics classroom", crossref = "Char:1986:PSS", pages = "135--140", year = "1986", bibdate = "Thu Dec 28 10:51:33 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "experimentation; human factors; performance", subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, Maple \\ K.3.1 Computing Milieux, COMPUTERS AND EDUCATION, Computer Uses in Education, Computer-assisted instruction (CAI) \\ I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, Special-purpose algebraic systems", } @Article{Char:1986:TIM, author = "Bruce W. Char and G. J. Fee and Keith O. Geddes and Gaston H. Gonnet and Michael B. Monagan", title = "A Tutorial Introduction to {Maple}", journal = j-J-SYMBOLIC-COMP, volume = "2", number = "2", pages = "179--200", month = jun, year = "1986", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", bibdate = "Thu Feb 08 07:18:02 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "algorithms; languages", review = "ACM CR 8705-0409", subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, Maple", } @InProceedings{Czapor:1986:IBA, author = "S. R. Czapor and K. O. Geddes", title = "On implementing {Buchberger}'s algorithm for {Gr{\"o}bner} bases", crossref = "Char:1986:PSS", pages = "233--238", year = "1986", bibdate = "Thu Dec 28 10:51:27 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "algorithms; theory", subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, Maple \\ F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials", } @Article{Devitt:1986:RCF, author = "J. S. Devitt and R. A. Mollin", title = "The rational canonical form of a matrix", journal = j-INT-J-MATH-MATH-SCI, volume = "9", number = "2", pages = "253--260", year = "1986", ISSN = "0161-1712 (print), 1687-0425 (electronic)", ISSN-L = "0161-1712", MRclass = "15-04 (15A21)", MRnumber = "87f:15001", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Mathematics and Mathematical Sciences", journal-URL = "https://www.hindawi.com/journals/ijmms/", keywords = "Maple", reviewer = "William H. Gustafson", } @InProceedings{Leong:1986:IDU, author = "B. L. Leong", title = "Iris: design of an user interface program for symbolic algebra", crossref = "Char:1986:PSS", pages = "1--6", year = "1986", bibdate = "Thu Dec 28 10:51:46 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "design; human factors; theory", subject = "I.1.2 Computing Methodologies, ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms \\ D.2.2 Software, SOFTWARE ENGINEERING, Tools and Techniques, User interfaces \\ I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, Maple \\ H.1.2 Information Systems, MODELS AND PRINCIPLES, User/Machine Systems, Human factors", } @Article{Bandyopadhyay:1987:SSI, author = "S. Bandyopadhyay and J. S. Devitt", title = "{SIS}: a symbolic information management system", journal = j-J-SYMBOLIC-COMP, volume = "4", number = "3", pages = "397--408", month = dec, year = "1987", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", bibdate = "Wed Mar 19 13:51:24 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C4250 (Database theory); C6160D (Relational DBMS); C7310 (Mathematics)", corpsource = "Sch. of Comput. Sci., Windsor Univ., Ont., Canada", countrypub = "UK A08", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "algebraic constraint satisfaction; automatic query inference systems; computation; database management systems; database theory; databases; formulae; management system; Maple algebra system; mathematical; mathematics computing; query by example; relational; relational databases; Scientific Information System; SIS; symbol manipulation; symbolic; symbolic information", treatment = "P Practical", } @TechReport{Char:1987:MWC, author = "Bruce W. Char and others", title = "{Maple} Workbook of Calculus Problems: Preliminary Version", number = "CS-87-27", institution = inst-WATERLOO-MATH, address = inst-WATERLOO-MATH:adr, pages = "45", year = "1987", bibdate = "Wed Dec 27 16:39:48 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Cizek:1987:TPP, author = "J. {\v{C}}i{\v{z}}ek and J. Paldus and U. W. Ramgulam and F. Vinette", title = "Two-Point {Pad{\'e}} Approximants in Electrochemical Kinetic Currents", journal = j-PROG-SURF-SCI, volume = "25", number = "1-4", pages = "17--39", year = "1987", CODEN = "PSSFBP", ISSN = "0079-6816 (print), 1878-4240 (electronic)", ISSN-L = "0079-6816", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "A unified and simple account of Koutecky's method of dimensionless parameters for the solution of Il'kovic's and MacGillavry and Rideal's equations for polarographic currents of various types is presented for prototypical examples of diffusion and kinetic currents with or without the effect of spherical diffusion. The required power series expansions, defining a new kind of special functions, are precisely evaluated using a MAPLE algebraic package and it is shown that these functions can be efficiently and accurately represented using two-point Pade approximants, requiring only a few expansion coefficients for their determination. A comparison of Koutecky's approach with that proposed by Levich is discussed.", acknowledgement = ack-nhfb, affiliation = "Univ of Waterloo, Waterloo, Ont, Can", affiliationaddress = "Univ of Waterloo, Waterloo, Ont, Can", classification = "702; 801; 921", fjournal = "Progress in Surface Science", journalabr = "Prog Surf Sci", keywords = "electrochemical kinetic currents; electrochemistry; electrodes, electrochemical --- Polarographic Analysis; Maple algebraic package; Mathematical Models; two-point Pad{\'e} approximants", } @Article{Czapor:1987:NMP, author = "S. R. Czapor and R. G. McLenaghan", title = "{NP}: a {Maple} package for performing calculations in the {Newman}\mhy {Penrose} formalism", journal = j-GEN-RELATIVITY-GRAV, volume = "19", number = "6", pages = "623--635", year = "1987", CODEN = "GRGVA8", ISSN = "0001-7701 (print), 1572-9532 (electronic)", ISSN-L = "0001-7701", MRclass = "83-04", MRnumber = "89b:83003", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "General Relativity and Gravitation", journal-URL = "http://link.springer.com/journal/10714", keywords = "Maple", } @Article{Fuchssteiner:1987:CAM, author = "Benno Fuchssteiner and Walter Oevel and Waldemar Wiwianka", title = "Computer-algebra methods for investigation of hereditary operators of higher order soliton equations", journal = j-COMP-PHYS-COMM, volume = "44", number = "1-2", pages = "47--55", year = "1987", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "58F07 (35-04 58-04 58G37)", MRnumber = "88g:58080", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "Maple", } @Periodical{Scott:1987:MTN, editor = "Tony Scott", key = "MAPLETECH", title = "The {Maple} Technical Newsletter", organization = "Mathematical Institute, University of Oxford", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, year = "1987", ISSN = "1061-5733", LCCN = "QA155.7.E4 M365", bibdate = "Thu Dec 28 11:53:47 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Published twice annually.", URL = "http://www.birkhauser.com/Journals/MapleTech/SUMMARY.HTM", acknowledgement = ack-nhfb, } @Article{Bremner:1988:TPU, author = "Murray R. Bremner", title = "Tensor products of unitarizable representations of the {Virasoro} algebra with central charge $ {1 \over 2} $", journal = j-COMMUN-ALGEBRA, volume = "16", number = "7", pages = "1513--1523", year = "1988", CODEN = "COALDM", ISSN = "0092-7872 (print), 1532-4125 (electronic)", ISSN-L = "0092-7872", MRclass = "17B65 (17B10)", MRnumber = "90e:17027", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Algebra", keywords = "Maple", reviewer = "H. Boseck", } @Book{Char:1988:FLT, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and Benton Leong and Michael B. Monagan and Stephen M. Watt", title = "First Leaves: a Tutorial Introduction to {Maple}, Revised for {Maple} Version 4.2", publisher = pub-WATCOM, address = pub-WATCOM:adr, pages = "iii + 115", year = "1988", ISBN = "0-921329-22-9", ISBN-13 = "978-0-921329-22-0", LCCN = "????", bibdate = "Sun Jul 10 01:05:10 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Char:1988:MRM, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and Benton Leong and Michael B. Monagan and Stephen M. Watt", title = "{Maple} Reference Manual", publisher = pub-WATCOM, address = pub-WATCOM:adr, edition = "Fifth", pages = "xxvi + 403", year = "1988", ISBN = "0-921329-15-6", ISBN-13 = "978-0-921329-15-2", LCCN = "????", bibdate = "Sun Jul 10 01:05:12 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Cizek:1988:SCQ, author = "J. Cizek and F. Vinette", title = "Symbolic computation in quantum mechanics. Several simple examples", crossref = "Anonymous:1988:ISQ", journal = "International Journal of Quantum Chemistry, Quantum Chemistry Symposia", month = "????", year = "1988", ISSN = "0161-3642", bibdate = "Mon Sep 30 05:52:00 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Appl. Math., Waterloo Univ., Ont., Canada", chemicalindex = "H/el", classification = "A0365F (Algebraic methods); A0365G (Solutions of wave equations: bound state); A3115 (General mathematical and computational developments); C6130 (Data handling techniques); C7320 (Physics and Chemistry)", issue = "no.22 p. 537-48", keywords = "Algebraic languages; Anharmonic oscillators; Benzene molecule; Butadiene molecule; File; Fortran; Geminal approach; H; Inner projection technique; Maple; Method of intermediate Hamiltonians; N-dimensional H atom; Numerical language; Perturbation calculations; Quantum labels; Quantum mechanics; Quantum theory; Scientific computational language; Spherical Zeeman effect; Subroutines; Symbolic computation; Troff; Typesetting language", thesaurus = "Atomic structure; Molecular energy level calculations; Physics computing; Quantum theory; Symbol manipulation", } @Article{Cushman:1988:CNF, author = "Richard Cushman and Jan A. Sanders", title = "The constrained normal form algorithm", journal = j-CELEST-MECH, volume = "45", number = "1-3", pages = "181--187", year = "1988--1989", CODEN = "CLMCAV", ISSN = "0008-8714", MRclass = "58F05 (58-04 58F30 70F05)", MRnumber = "90i:58046", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Celestial mechanics", keywords = "Maple", } @Book{Davenport:1988:CAS, author = "J. H. Davenport and Y. Siret and E. Tournier", title = "Computer Algebra: Systems and Algorithms for Algebraic Computation", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xix + 267", year = "1988", ISBN = "0-12-204230-1", ISBN-13 = "978-0-12-204230-0", LCCN = "QA155.7.E4 D38 1988", bibdate = "Fri Dec 29 18:14:51 1995", bibsource = "/usr/local/src/bib/bibliography/Theory/Comp.Alg.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", notes = "{\footnotesize Dies ist die englische Ausgabe des urspr{\"u}nglich bei Masson 1987 erschienen Buches {\em Calcul Formel}. Es ist die erste Monographie {\"u}ber Computeralgebra. Es wird in etwa die Theorie behandelt, die heute in den gr{\"o}{\ss}eren Systemen wie MACSYMA, MAPLE, REDUCE oder SCRATCHPAD II realisiert ist. Das erste Kapitel ist der Diskussion verschiedener \CA\ Systeme mit Beispielen gewidmet. Die wichtige Frage der Repr{\"a}sentation der mathematischen Objekte auf einem Computer ist das Thema des zweiten Kapitels. Der Algorithmus von Buchberger, zylindrische Dekomposition, Berechnung von gr{\"o}{\ss}ten gemeinsamen Teilern, p-adische Methoden und Faktorisierung, Differentialgleichungen und Stammfunktionen sind die wichtigsten behandelten Gegenst{\"a}nde des Buches, das mit einer ausf{\"u}hrlichen Bibliographie und einer Beschreibung von REDUCE im Anhang endet. \hfill J. Grabmeier}", } @Article{David:1988:VCC, author = "Carl W. David", title = "Variational Calculations on a Correlated Helium Wave Function Using {Maple}", journal = j-COMPUT-CHEM, volume = "12", number = "3", pages = "229--231", year = "1988", CODEN = "COCHDK", ISSN = "0097-8485 (print), 1879-0763 (electronic)", ISSN-L = "0097-8485", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "With the introduction of symbolic computational methodology, it becomes reasonable to attempt nonlinear variational computations on helium wave functions of higher complexity than have been attempted in the past. We have employed that algorithm in a symbolic rather than a numerical setting using MAPLE a relatively new symbolic mathematical processor which has been implemented on both VAX and IBM systems. The first result of this program's execution was an expression for `energy' of the form energy ( sigma, b). This energy was then minimized. Although MAPLE can integrate many functions, it can not integrate all functions. Specifically, MAPLE was unable to handle wave functions which contained logarithmic (Fock type) terms.", acknowledgement = ack-nhfb, affiliation = "Univ of Connecticut, Storrs, CT, USA", affiliationaddress = "Univ of Connecticut, Storrs, CT, USA", classification = "723; 804; 921", fjournal = "Computers and Chemistry", journal-URL = "http://www.sciencedirect.com/science/journal/00978485", journalabr = "Comput Chem", keywords = "Calculations; computer programming --- Algorithms; correlated helium wave function; energy minimization; helium; Maple language; mathematical processor; mathematical techniques --- Variational Techniques", } @InProceedings{Fuchssteiner:1988:CAD, author = "Benno Fuchssteiner and Uwe Falck", title = "Computer algorithms for the detection of completely integrable quantum spin chains", crossref = "Levi:1988:SNP", pages = "22--50", year = "1988", MRclass = "82B23 (82-04 82B10)", MRnumber = "92c:82031", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", } @TechReport{Geddes:1988:MCW, author = "Keith O. Geddes and Bruce W. Char and others", title = "{Maple}: Calculus Workbook Problems and Solutions", institution = inst-WATERLOO-MATH, pages = "xxiii + 211", year = "1988", bibdate = "Wed Dec 27 16:39:49 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Gonnet:1988:EMA, author = "Gaston H. Gonnet", title = "Examples of {Maple} applied to problems from the {American Mathematical Monthly}", journal = j-SIGSAM, volume = "22", number = "2", pages = "8--16", month = apr, year = "1988", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Sat Aug 13 17:01:28 MDT 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "algorithms; theory", subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, Maple", } @Article{Letniowski:1988:IAQ, author = "F. W. Letniowski and R. G. McLenaghan", title = "An improved algorithm for quartic equation classification and {Petrov} classification", journal = j-GEN-RELATIVITY-GRAV, volume = "20", number = "5", pages = "463--483", year = "1988", CODEN = "GRGVA8", ISSN = "0001-7701 (print), 1572-9532 (electronic)", ISSN-L = "0001-7701", MRclass = "83C20 (83-04 83-08)", MRnumber = "89f:83042", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "General Relativity and Gravitation", journal-URL = "http://link.springer.com/journal/10714", keywords = "Maple", reviewer = "A. H. Taub", } @Book{SymbolicComputation:1988:MV, author = "{Symbolic Computation Group Staff}", title = "{Maple}, Version 4.2", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, year = "1988", ISBN = "0-534-10218-2", ISBN-13 = "978-0-534-10218-0", LCCN = "????", bibdate = "Mon Aug 22 14:13:19 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$350.00", acknowledgement = ack-nhfb, keywords = "languages", subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION, Languages and Systems, Maple", } @Article{VandenBergh:1988:OMP, author = "N. {Van den Bergh}", title = "{ORTHOFRAME}: a {MAPLE} package for performing calculations in the orthonormal tetrad formalism", journal = j-CLASS-QUANTUM-GRAV, volume = "5", number = "10", pages = "L169--L179", year = "1988", CODEN = "CQGRDG", ISSN = "0264-9381 (print), 1361-6382 (electronic)", ISSN-L = "0264-9381", MRclass = "83-08 (83C55)", MRnumber = "89j:83002", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Classical and quantum gravity", keywords = "Maple", reviewer = "W. B. Bonnor", } @Article{Vinette:1988:PEE, author = "F. Vinette and J. {\v{C}}{\'\i}{\v{z}}ek", title = "Perturbation energy expansion using hypervirial theorem and symbolic computation for the $ {N} $-dimensional hydrogen atom in an external spherically symmetric field", journal = j-COMP-PHYS-COMM, volume = "52", number = "1", pages = "35--41", year = "1988", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "81G45 (81-04)", MRnumber = "89j:81279", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "Maple", } @Book{Akritas:1989:ECA, author = "Alkiviadis G. Akritas", title = "Elements of computer algebra with applications", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xvi + 425", year = "1989", ISBN = "0-471-61163-8", ISBN-13 = "978-0-471-61163-9", LCCN = "QA155.7.E4A37 1989", MRclass = "68Q40 (00A35 68-01 94A60 94B05)", MRnumber = "91k:68099", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "A Wiley-Interscience Publication", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Eric Bach", } @InProceedings{Benson:1989:ACT, author = "Max Environments. Benson", title = "An algebraic computing technique", crossref = "Tangora:1989:CGT", pages = "63--77", year = "1989", MRclass = "68Q40", MRnumber = "90g:68072", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Guang Kun Hou", } @Book{Char:1989:FLM, author = "Bruce W. Char and others", title = "First Leaves for the Macintosh: a Tutorial Introduction to {Maple}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xv + 140", year = "1989", ISBN = "0-534-10222-0", ISBN-13 = "978-0-534-10222-7", LCCN = "QA155.7.E4 F57 1989", bibdate = "Wed Dec 27 16:39:51 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Char:1989:FLT, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and Benton Leong and Michael B. Monagan and Stephen M. Watt", title = "First Leaves: a Tutorial Introduction to {Maple}", publisher = pub-WATCOM, address = pub-WATCOM:adr, edition = "Third", pages = "122", year = "1989", ISBN = "0-921329-68-7", ISBN-13 = "978-0-921329-68-8", LCCN = "????", bibdate = "Fri Jul 08 07:59:44 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Debever:1989:DEM, author = "R. Debever and N. {Van den Bergh} and J. Leroy", title = "Diverging {Einstein--Maxwell} null fields of {Petrov} type $ {D} $", journal = j-CLASS-QUANTUM-GRAV, volume = "6", number = "10", pages = "1373--1378", year = "1989", CODEN = "CQGRDG", ISSN = "0264-9381 (print), 1361-6382 (electronic)", ISSN-L = "0264-9381", MRclass = "83C20 (83-04 83C50)", MRnumber = "90h:83028", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Classical and quantum gravity", keywords = "Maple", reviewer = "J. B. Griffiths", } @Article{Dudley:1989:CAD, author = "M. L. Dudley and R. W. James", title = "Computer-aided derivation of spherical harmonic spectral equations in astro-geophysics", journal = j-J-SYMBOLIC-COMP, volume = "8", number = "4", pages = "423--427", month = oct, year = "1989", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "86-08 (85-08 85A15 85A20 86A25)", MRnumber = "90j:86001", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; Theory/reduce.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Appl. Math., Sydney Univ., NSW, Australia", classcodes = "C7310 (Mathematics); C7350 (Astronomy and astrophysics); C7340 (Geophysics)", classification = "C7310 (Mathematics); C7340 (Geophysics); C7350 (Astronomy and astrophysics)", corpsource = "Dept. of Appl. Math., Sydney Univ., NSW, Australia", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Astro-geophysics; astro-geophysics; astrophysics computing; Computer algebra programs; computer algebra programs; Computer-aided derivation; computer-aided derivation; computing; differential equations; Earth core; equations; geophysics computing; MACSYMA; Magnetic induction equation; magnetic induction equation; MAPLE; Mathematical physics; mathematical physics; Mathematical problems; mathematical problems; mathematics; Modelling magnetohydrodynamic interactions; modelling magnetohydrodynamic interactions; Numerical solution; numerical solution; partial; Partial differential equations; REDUCE; Spectral analysis; spectral analysis; spectral equations; spherical harmonic; Spherical harmonic spectral equations; Stellar atmospheres; stellar atmospheres; Stellar interiors; stellar interiors; vector; Vector equations", thesaurus = "Astrophysics computing; Geophysics computing; Mathematics computing; Spectral analysis", treatment = "P Practical; T Theoretical or Mathematical", } @Book{Ellis:1989:MCS, author = "Wade {Ellis, Jr.} and Ed Lodi", title = "{Maple} for the Calculus Student: a Tutorial", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "vii + 67", year = "1989", ISBN = "0-534-11874-7", ISBN-13 = "978-0-534-11874-7", LCCN = "QA155.7.E4 E44 1989", bibdate = "Mon Aug 22 14:13:22 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Fateman:1989:SDS, author = "R. J. Fateman and C. G. Ponder", title = "Speed and data structures in computer algebra systems", journal = j-SIGSAM, volume = "23", number = "2", pages = "8--11", month = apr, year = "1989", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:00 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Comparing the speed of computation in algebra systems is a perennial occupation of system designers and algorithm implementors. However, for many problems, the choice of a system makes much less difference that the approach used to represent the problem. The mapping from mathematics to a data representation and the choice of algorithms can make significant, and separate, contributions to efficiency. Systems which have the flexibility to provide several data structures and algorithms can provide an advantage in this respect. Macsyma is probably the system with the largest selection. On the other hand, Macsyma has not taken advantage of recent advances such as the extensive use of hash-coding incorporated in the University of Waterloo's Maple system. For the one somewhat artificial benchmark discussed, it appears that the Maple system does considerably better than any representation in Macsyma by precisely this mechanism.", acknowledgement = ack-nhfb, affiliation = "Div. of Comput. Sci., California Univ., Berkeley, CA, USA", classcodes = "C7310 (Mathematics); C6130 (Data handling techniques); C6120 (File organisation)", classification = "C6120 (File organisation); C6130 (Data handling techniques); C7310 (Mathematics)", corpsource = "Div. of Comput. Sci., California Univ., Berkeley, CA, USA", fjournal = "SIGSAM Bulletin", issue = "88", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "algebra; algorithm implementors; Algorithm implementors; algorithms; benchmark; Benchmark; computation speed; Computation speed; computer algebra systems; Computer algebra systems; data; Data representation; data structures; Data structures; design; designers; hash-coding; Hash-coding; Macsyma; Maple; Maple system; mathematics; Mathematics; mathematics computing; performance; representation; selection; software; symbol manipulation; system; System designers", subject = "I.3.1 Computing Methodologies, COMPUTER GRAPHICS, Hardware architecture, Raster display devices \\ C.4 Computer Systems Organization, PERFORMANCE OF SYSTEMS \\ E.1 Data, DATA STRUCTURES", thesaurus = "Algebra; Data structures; Mathematics computing; Software selection; Symbol manipulation", treatment = "P Practical", } @InProceedings{Faugeras:1989:MPM, author = "Olivier D. Faugeras and Steve Maybank", title = "Motion from point matches: multiplicity of solutions", crossref = "IEEE:1989:PAM", pages = "248--255", year = "1989", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The authors study the multiplicity of solutions of the motion problem. Given n point matches between two frames, an effort is made to determine the number of solution to the motion problem. It is shown that the maximum number of solutions is ten when five-point matches are available. Two approaches are used. The first attempts to recover the motion parameters by studying the essential matrix. A natural extension of this is to use algebraic geometry to characterize the set of possible essential matrixes. The authors present some results based on this approach. The second one, based on projective geometry, dates from the previous century. The authors show that the two approaches are compatible and yield the same result. They then describe a computer implementation of the second approach that uses MAPLE, a language for symbolic computation. The program allows the exact computation of the solutions for any configuration of five points.", acknowledgement = ack-nhfb, affiliation = "INRIA, Le Chesnay, Fr", classification = "723; 921", keywords = "Algebraic Geometry; Computer Programming Languages; Image Analysis; Image Motion Analysis; Image Processing; Maple Programming Language; Mathematical Techniques--Geometry; Projective Geometry; Symbolic Computation", } @Article{Fitt:1989:SCH, author = "A. D. Fitt", title = "Symbolic computation of hyperbolicity regions for systems of two-phase flow conservation laws using {MAPLE}", journal = j-J-SYMBOLIC-COMP, volume = "8", number = "3", pages = "305--308", year = "1989", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "65-04", MRnumber = "015 653", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Maple", } @Book{Geddes:1989:MCW, author = "Keith O. Geddes and B. J. Marshman and I. McGee and P. J. Ponzo and Bruce W. Char", title = "{Maple} Calculus Workbook: Problems and Solutions", publisher = pub-WATERLOO, address = pub-WATERLOO:adr, pages = "????", year = "1989", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Wed Aug 30 09:27:36 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "No longer in print.", acknowledgement = ack-nhfb, } @InProceedings{Geddes:1989:RIM, author = "K. O. Geddes and L. Y. Stefanus", title = "On the {Risch--Norman} integration method and its implementation in {MAPLE}", crossref = "Gonnet:1989:PAS", pages = "212--217", year = "1989", bibdate = "Thu Mar 12 08:33:50 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/74540/p212-geddes/", abstract = "Unlike the recursive Risch algorithm for the integration of transcendental elementary functions, the Risch--Norman method processes the tower of field extensions directly in one step. In addition to logarithmic and exponential field extensions, this method can handle extensions in terms of tangents. Consequently, it allows trigonometric functions to be treated without converting them to complex exponential form. The authors review this method and describe its implementation in MAPLE. A heuristic enhancement to this method is also presented.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", classification = "C1110 (Algebra); C1120 (Analysis); C4160 (Numerical integration and differentiation); C7310 (Mathematics)", keywords = "algorithms; Exponential field extensions; Logarithmic field extensions; MAPLE; Risch--Norman integration; Tangents; theory; Transcendental elementary functions; Trigonometric functions", subject = "{\bf G.1.9} Mathematics of Computing, NUMERICAL ANALYSIS, Integral Equations. {\bf F.1.3} Theory of Computation, COMPUTATION BY ABSTRACT DEVICES, Complexity Measures and Classes. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems. {\bf G.1.3} Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods).", thesaurus = "Functions; Integration; Mathematics computing; Symbol manipulation", } @Book{Gerald:1989:ANA, author = "Curtis F. Gerald and Patrick O. Wheatley", title = "Applied numerical analysis", publisher = pub-AW, address = pub-AW:adr, edition = "Fourth", pages = "xi + 679 + 36 + 7", year = "1989", ISBN = "0-201-11583-2", ISBN-13 = "978-0-201-11583-3", LCCN = "QA297 .G47 1989", bibdate = "Sat Mar 9 08:21:34 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Article{Grotendorst:1989:MPC, author = "J. Grotendorst", title = "{MAPLE} programs for converting series expansions to rational functions using the {Levin} transformation. Automatic generation of {FORTRAN} functions for numerical applications", journal = j-COMP-PHYS-COMM, volume = "55", number = "3", pages = "325--335", day = "1", month = oct, year = "1989", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(89)90130-6", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Sep 30 05:46:56 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; http://www.math.utah.edu/pub/tex/bib/fortran2.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Zentralinst. fur Angewandte Math., KFA Julich GmbH, West Germany", classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0270 (Computational techniques); C4190 (Other numerical methods); C7310 (Mathematics)", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "Asymptotic series; FORTRAN functions; Levin transformation; MAPLE programs; Numerical applications; Rational functions; Series expansions; Taylor series", pubcountry = "Netherlands", thesaurus = "Mathematics computing; Numerical analysis; Series [mathematics]; Transforms", } @Article{Hennequin:1989:CAQ, author = "P. Hennequin", title = "Combinatorial analysis of {Quicksort} algorithm", journal = j-INFORM-THEOR-APPL, volume = "23", number = "3", pages = "317--333", month = "????", year = "1989", CODEN = "RSITD7, RITAE4", ISSN = "0988-3754 (print), 1290-385X (electronic)", ISSN-L = "0988-3754", bibdate = "Fri Dec 14 17:01:19 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://archive.numdam.org/article/ITA_1989__23_3_317_0.pdf; http://www.rairo-ita.org/action/displayIssue?jid=ITA&tab=currentissue", acknowledgement = ack-nhfb, fjournal = "RAIRO. Informatique th{\'e}orique et applications := Theoretical informatics and applications", keywords = "Maple", remark = "I get browser errors in trying to view back issues of this journal, so I cannot yet supply a DOI.", } @Article{Hsu:1989:CSO, author = "L. Hsu and N. Kamran", title = "Classification of second-order ordinary differential equations admitting {Lie} groups of fibre-preserving point symmetries", journal = j-PROC-LONDON-MATH-SOC, volume = "58", number = "2", pages = "387--416", year = "1989", CODEN = "PLMTAL", ISSN = "0024-6115 (print), 1460-244x (electronic)", MRclass = "58H05 (22E05 34A34 58F35)", MRnumber = "89k:58312", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, journal-URL = "http://plms.oxfordjournals.org/content/by/year", keywords = "Maple", reviewer = "D. H. Sattinger", } @Article{Mathews:1989:UCA, author = "J. H. Mathews", title = "Using a computer algebra system to teach second order differential equations", journal = j-COED, volume = "9", number = "4", pages = "7--10", month = oct # "-" # dec, year = "1989", CODEN = "CWLJDP", ISSN = "0736-8607", bibdate = "Mon Sep 30 05:46:56 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Computer algebra systems such as MACSYMA, MAPLE, Mathematica and muMATH are designed to perform calculus manipulations. The author shows how to use a computer algebra system to assist with finding solutions to second order differential equations found in engineering mathematics. Teachers and students alike are astounded how faithfully symbol manipulation programs simulate the mathematical techniques applied to engineering. The product muMath is illustrated because of its widespread availability. It runs on IBM compatible personal computers using the MS-DOS operating system.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., California State Univ., Fullerton, CA, USA", classification = "C4170 (Differential equations); C7310 (Mathematics); C7400 (Engineering); C7810C (Computer-aided instruction)", fjournal = "CoED", keywords = "Calculus manipulations; Computer algebra system; Engineering mathematics; IBM compatible personal computers; MACSYMA; MAPLE; Mathematica; Mathematical techniques; MS-DOS operating system; MuMATH; Second order differential equations; Students; Symbol manipulation programs", thesaurus = "Differential equations; Educational computing; Engineering computing; IBM computers; Microcomputer applications; Software packages; Symbol manipulation; Teaching", } @TechReport{Salvy:1989:EAA, author = "B. Salvy", title = "Examples of automatic asymptotic expansions", number = "114", institution = "Inst. Nat. Recherche Inf. Autom.", address = "Le Chesnay, France", pages = "18", month = dec, year = "1989", bibdate = "Mon Sep 30 05:46:56 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Describes the current state of a Maple library, gdev, designed to perform asymptotic expansions for a large class of expressions. Many examples are provided, along with a short sketch of the underlying principles. A striking feature of these examples is that none of them can be computed directly with any of the most widespread symbolic computation systems (Macsyma, Mathematica, Maple or Scratchpad II).", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C6130 (Data handling techniques); C7310 (Mathematics)", keywords = "Asymptotic expansions; Gdev; Maple library; Symbolic computation systems", pubcountry = "France", thesaurus = "Mathematical analysis; Mathematics computing; Subroutines; Symbol manipulation", } @Article{Sturmfels:1989:CFP, author = "Bernd Sturmfels", title = "Computing final polynomials and final syzygies using {Buchberger}'s {Gr{\"o}bner} bases method", journal = j-RESULTS-MATH, volume = "15", number = "3-4", pages = "351--360", year = "1989", ISSN = "0378-6218", MRclass = "13F20 (12-04 13-04 14A05)", MRnumber = "90d:13019", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Results in Mathematics = Resultate der Mathematik", keywords = "Maple", reviewer = "Liam O'Carroll", } @InProceedings{Vinette:1989:USC, author = "F. Vinette and J. Cizek", title = "The use of symbolic computation in solving some nonrelativistic quantum mechanical problems", crossref = "Gianni:1989:SAC", pages = "85--95", year = "1989", bibdate = "Thu Sep 26 06:21:35 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Stresses the importance of symbolic computation languages as a new research tool in applied mathematics. The treatment of some non-relativistic quantum mechanical problems are presented as illustrations of the use of the symbolic computation language MAPLE developed at the University of Waterloo. Emphasis is given on the possibility to manipulate expressions symbolically, to perform rapidly tedious operations as well as to work in rational arithmetic. Another important feature will consist in the interface of MAPLE and FORTRAN.", acknowledgement = ack-nhfb, affiliation = "Dept. of Appl. Math., Waterloo Univ., Ont., Canada", classification = "A0365D (Functional analytical methods); C7320 (Physics and Chemistry)", keywords = "Applied mathematics; Expression manipulation; FORTRAN; Interface; MAPLE; Nonrelativistic quantum mechanical problems; Symbolic computation languages; Symbolic manipulation", thesaurus = "High level languages; Physics computing; Quantum theory; Symbol manipulation", } @Article{Wils:1989:HCR, author = "Patrick Wils", title = "Homogeneous and conformally {Ricci} flat pure radiation fields", journal = j-CLASS-QUANTUM-GRAV, volume = "6", number = "9", pages = "1243--1251", year = "1989", CODEN = "CQGRDG", ISSN = "0264-9381 (print), 1361-6382 (electronic)", ISSN-L = "0264-9381", MRclass = "83C20 (83-04)", MRnumber = "90h:83035", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Classical and quantum gravity", keywords = "Maple", reviewer = "J. B. Griffiths", } @Article{Anonymous:1990:MMT, author = "Anonymous", title = "{Maple}: \$695 Math toolbox is worthy competitor for {Mathematica}", journal = j-PC-MAGAZINE, pages = "48--49", day = "27", month = feb, year = "1990", CODEN = "PCMGEP", ISSN = "0888-8507 (print), 1078-8085 (electronic)", ISSN-L = "0888-8507", bibdate = "Sat Apr 6 16:22:44 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-ble, fjournal = "PC Magazine", } @Book{Auer:1990:MSM, author = "John W. Auer", title = "{Maple} Solutions Manual for {Linear Algebra with Applications}", publisher = pub-PH, address = pub-PH:adr, pages = "vii + 186", year = "1990", ISBN = "0-13-535550-8", ISBN-13 = "978-0-13-535550-3", LCCN = "????", bibdate = "Sun Jul 10 01:05:26 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Borwein:1990:DRN, author = "Jonathan Borwein and Peter Borwein", title = "A dictionary of real numbers", publisher = pub-WADSWORTH, address = pub-WADSWORTH:adr, pages = "viii + 424", year = "1990", ISBN = "0-534-12840-8", ISBN-13 = "978-0-534-12840-1", LCCN = "QA47.B625 1990", MRclass = "11-00 (11Y60 11Y70)", MRnumber = "91g:11001", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Jeffrey O. Shallit", } @Article{Brak:1990:AAN, author = "R. Brak and A. J. Guttmann", title = "Algebraic approximants: a new method of series analysis", journal = j-J-PHYS-A, volume = "23", number = "24", pages = "L1331--L1337", year = "1990", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82B80 (65H99)", MRnumber = "92c:82065", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", journal-URL = "http://iopscience.iop.org/0305-4470", keywords = "Maple", reviewer = "Marietta J. Tretter", } @Article{Carminati:1990:SFP, author = "J. Carminati", title = "Shear-free perfect fluids in general relativity. {II}. Aligned, {Petrov} type {$ {\rm III} $} space-times", journal = j-J-MATH-PHYS, volume = "31", number = "10", pages = "2434--2440", year = "1990", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "83C55 (83-04)", MRnumber = "91k:83052", bibdate = "Fri Jan 02 11:30:22 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", keywords = "Maple", reviewer = "P. C. Vaidya", } @Book{Char:1990:FLT, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and Benton Leong and Michael B. Monagan and Stephen M. Watt", title = "First Leaves: a Tutorial Introduction to {Maple V}", publisher = pub-WATERLOO-MAPLE, address = pub-WATERLOO-MAPLE:adr, edition = "Third", pages = "122", year = "1990", ISBN = "0-9694580-0-2", ISBN-13 = "978-0-9694580-0-5", LCCN = "????", bibdate = "Sun Jul 10 01:05:36 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Char:1990:MRM, author = "Bruce W. Char and others", title = "{MAPLE} Reference Manual", publisher = pub-WATERLOO-MAPLE, address = pub-WATERLOO-MAPLE:adr, edition = "Fifth", year = "1990", ISBN = "0-9694580-1-0", ISBN-13 = "978-0-9694580-1-2", LCCN = "????", bibdate = "Wed Dec 27 16:39:53 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Char:1990:PRS, author = "B. W. Char", title = "Progress report on a system for general-purpose parallel symbolic algebraic computation", crossref = "Watanabe:1990:IPI", pages = "96--103", year = "1990", bibdate = "Thu Mar 12 08:36:58 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/96877/p96-char/", abstract = "Discusses on-going work on large-grained parallel symbolic computation using a system based on Maple and Linda. The prototype runs on a Sequent Balance. The approach can be used with most existing algebra/symbol manipulation systems and provides the potential to deliver of parallel symbolic computation on a variety of architectures (e.g. shared memory, hypercubes, networked workstations). Parallel speedup was achieved on a variety of algebraic problems, although many significant improvements in efficiency remain to be achieved.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN, USA", classification = "C4240 (Programming and algorithm theory)", keywords = "Algebraic computation; design; languages; Large-grained; Linda; Maple; Parallel symbolic computation; performance; Sequent Balance; Symbol manipulation systems", subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General. {\bf F.1.2} Theory of Computation, COMPUTATION BY ABSTRACT DEVICES, Modes of Computation, Parallelism and concurrency. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language Classifications, Linda. {\bf D.1.3} Software, PROGRAMMING TECHNIQUES, Concurrent Programming.", thesaurus = "Parallel processing; Symbol manipulation", } @Article{Char:1990:RAM, author = "Bruce W. Char", title = "Report on the {7th Annual Maple Workshop}", journal = j-SIGSAM, volume = "24", number = "1", pages = "18--18", month = jan, year = "1990", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:00 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @Article{Cizek:1990:EAF, author = "J. {\v{C}}{\'\i}{\v{z}}ek and J. Paldus and F. Vinette", title = "Explicit algebraic form of coupled cluster equations for the {PPP} model of benzene with an approximate inclusion of triexcited clusters", journal = j-IJQC, volume = "38", number = "6", pages = "831--851", month = dec, year = "1990", CODEN = "IJQCB2", DOI = "https://doi.org/10.1002/qua.560380606", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Tue Oct 4 06:58:31 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/ijqc1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Appl. Math., Waterloo Univ., Ont., Canada", ajournal = "Int. J. Quantum Chem.", classification = "A3120P (Other semi-empirical calculations (Huckel, generalized Huckel, PPP methods, etc.)); A3120T (Electron correlation and CI calculations); A3640 (Atomic and molecular clusters)", fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "Benzene; CI description; Coupled cluster approach; Coupled cluster equations; Diagrammatic techniques; Electron correlation; MAPLE; Model Hamiltonians; Molecular electronic structure; Molecular properties; Nonorthogonal versions; Orthogonal versions; PPP model; Quantum mechanical description; Symbolic computation language; Triexcited clusters; TROFF; Typesetting language", onlinedate = "19 Oct 2004", thesaurus = "Cluster approximation; Molecular clusters; Molecular electron correlations; Molecular electronic states; Organic compounds; PPP calculations", } @Article{Corless:1990:SHL, author = "R. M. Corless and D. J. Jeffrey", title = "Solution of a hydrodynamic lubrication problem with {Maple}", journal = j-J-SYMBOLIC-COMP, volume = "9", number = "4", pages = "503--514 (or 503--513??)", month = apr, year = "1990", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", bibdate = "Wed Mar 19 13:51:24 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Appl. Math., Univ. of Western Ontario, London, Ont., Canada", classcodes = "A4710 (General theory, simulation and other computational methods); C7320 (Physics and Chemistry); C6130 (Data handling techniques)", classification = "A4710 (General theory, simulation and other computational methods); C6130 (Data handling techniques); C7320 (Physics and Chemistry)", corpsource = "Dept. of Appl. Math., Univ. of Western Ontario, London, Ont., Canada", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "algebraic; Algebraic manipulations; algebraic transformations; Algebraic transformations; approximation; differential equations; hydrodynamic lubrication problem; Hydrodynamic lubrication problem; hydrodynamics; lowest-order; Lowest-order approximation; lubrication; manipulation; manipulations; Maple; partial; Partial differential equations; perturbation technique; Perturbation technique; physics computing; symbol", thesaurus = "Hydrodynamics; Lubrication; Physics computing; Symbol manipulation", treatment = "P Practical; T Theoretical or Mathematical", } @InProceedings{Fateman:1990:ATD, author = "R. J. Fateman", title = "Advances and trends in the design and construction of algebraic manipulation systems", crossref = "Watanabe:1990:IPI", pages = "60--67", year = "1990", bibdate = "Thu Mar 12 08:36:58 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/96877/p60-fateman/", abstract = "Compares and contrast several techniques for the implementation of components of an algebraic manipulation system. On one hand is the mathematical algebraic approach which characterizes (for example) IBM's Scratchpad II. On the other hand is the more ad hoc approach which characterizes many other popular systems (for example, Macsyma, Reduce, Maple, and Mathematica). While the algebraic approach has generally positive results, careful examination suggests that there are significant remaining problems, especially in the representation and manipulation of analytical, as opposed to algebraic mathematics. The author describes some of these problems, and some general approaches for solutions.", acknowledgement = ack-nhfb, affiliation = "California Univ., Berkeley, CA, USA", classification = "C4240 (Programming and algorithm theory); C7310 (Mathematics)", keywords = "Algebraic manipulation systems; Algebraic mathematics; design; languages; Macsyma; Maple; Mathematica; Mathematical algebraic; Reduce; Scratchpad II", subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, MACSYMA.", thesaurus = "Algebra; Symbol manipulation", } @InProceedings{Fee:1990:CCC, author = "G. J. Fee", title = "Computation of {Catalan}'s constant using {Ramanujan}'s formula", crossref = "Watanabe:1990:IPI", pages = "157--160", year = "1990", bibdate = "Thu Mar 12 08:36:58 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/96877/p157-fee/", abstract = "The author uses some formulas due to Ramanujan for the multiple precision computation of Catalan's constant $ C = 0.915 \ldots {} $. The algorithm has been implemented in Maple and $C$ has been computed to 20000 decimal places. The resulting program is very simple yet efficient. It computes $N$ digits of $C$ in $ O(N^2) $ time and $ O(N) $ space.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", classification = "B0290D (Functional analysis); C4120 (Functional analysis); C4240 (Programming and algorithm theory)", keywords = "algorithms; C; Catalan constant; Function evaluation; languages; Maple; Ramanujan formula", subject = "{\bf G.2.1} Mathematics of Computing, DISCRETE MATHEMATICS, Combinatorics. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language Classifications, C. {\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms.", thesaurus = "Computational complexity; Function evaluation", } @TechReport{Gomez:1990:MFC, author = "Claude Gomez", title = "{MACROFORT}: a {FORTRAN} code generator in {MAPLE} = {MACROFORT}: un g{\'e}n{\'e}rateur de code {FORTRAN} dans {MAPLE}", type = "Rapports techniques", number = "119", institution = pub-INRIA, address = pub-INRIA:adr, pages = "14", year = "1990", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "MACROFORT is a package added to MAPLE which permits complete FORTRAN 77 code generation. While using MACROFORT, the user stays in MAPLE. He no longer deals with FORTRAN label numbering. Complicated FORTRAN loops are easy to do because while and until capabilities exist in MACROFORT. The generated code can be optimized. Two examples are given. In the first one, MAPLE is not able to solve numerically a problem using its own functions. In the second one, a naturally recursive problem is easily solved by recursively generating a FORTRAN program.", acknowledgement = ack-nhfb, annote = "Abstracts in English and French. ``Mai 1990''--Cover. Includes bibliographical references.", classification = "C6115 (Programming support); C6140D (High level languages)", issuedby = "Inst. Nat. Recherche Inf. Autom., Le Chesnay, France", keywords = "FORTRAN 77 code generation; FORTRAN loops; MACROFORT; MACROFORT (Computer programming language); MAPLE; MAPLE (Computer programming language); Recursive problem; Until; While", pubcountry = "France", thesaurus = "FORTRAN; FORTRAN listings; Macros; Software packages; Software tools", } @Article{Grotendorst:1990:AFM, author = "J. Grotendorst", title = "Approximating functions by means of symbolic computation and a general extrapolation method", journal = j-COMP-PHYS-COMM, volume = "59", number = "2", pages = "289--301", month = jun, year = "1990", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Sep 30 05:46:56 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Zentralinst. fur Angewandte Math., Forschungszentrum Julich GmbH, West Germany", classification = "C4130 (Interpolation and function approximation); C7310 (Mathematics)", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "Approximating functions; Brezinski-Havie protocol; E algorithm; Extrapolation method; MAPLE procedures; Numerical instability; Optimized FORTRAN programs; Polynomial; Rational approximations; Sequence; Series expansions; Symbolic computation", pubcountry = "Netherlands", thesaurus = "Extrapolation; Mathematics computing; Polynomials; Series [mathematics]", } @Article{Kwong:1990:CAS, author = "Man Kam Kwong and Mary Beth Dever", title = "Computer-aided study of a problem in {Hermitian} matrix theory", journal = j-J-SYMBOLIC-COMP, volume = "9", number = "1", pages = "87--112", year = "1990", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "15A24 (65F99)", MRnumber = "91f:15037", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Maple", reviewer = "Moody T. Chu", } @Article{Kwong:1990:KCM, author = "Man Kam Kwong", title = "On the {Kolodner-Coffman} method for the uniqueness problem of {Emden--Fowler BVP}", journal = j-ZEIT-ANGE-MATH-PHYS, volume = "41", number = "1", pages = "79--104", year = "1990", CODEN = "ZAMMAX", ISSN = "0044-2267 (print), 1521-4001 (electronic)", MRclass = "34B15 (35J99 85A99)", MRnumber = "91b:34037", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Vladimir P. Maksimov", } @Article{Levine:1990:MV, author = "Minna Levine and Linda Custer", title = "{Mathematica}, Version 1.2", journal = j-MACUSER, pages = "148--154, 156, 158, 160, 162, 164", month = nov, year = "1990", CODEN = "MCUSEY", ISSN = "0884-0997", bibdate = "Fri Apr 12 10:00:05 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Requires IBM PC or; compatibles; 4MB RAM, DOS 3.0 or later. Discusses Mathematica, Theorist, Maple, and Milo.", acknowledgement = ack-nhfb, fjournal = "MacUser", keywords = "application software and utilities; Computing and communications; Full-featured, text-based symbol processor; Individual Products; mathematical programs", } @Article{Mathews:1990:UCS, author = "J. Mathews", title = "Using computer symbolic algebra in applied engineering mathematics to teach {Fourier} series", journal = j-COED, volume = "10", number = "1", pages = "47--52", month = jan # "-" # mar, year = "1990", CODEN = "CWLJDP", ISSN = "0736-8607", bibdate = "Mon Sep 30 05:46:56 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., California State Univ., Fullerton, CA, USA", classification = "C6130 (Data handling techniques); C7110 (Education); C7310 (Mathematics); C7400 (Engineering); C7810C (Computer-aided instruction)", fjournal = "CoED", keywords = "Applied engineering mathematics; Calculus manipulations; CAS techniques; Computer algebra setting; Computer algebra software package MAPLE; Computer algebra system; Computer symbolic algebra; Differential equations; Engineering mathematics courses; Fourier series; Mathematical theory; Nonlinear systems; Practical calculus operation; Programming language; Structured languages; Symbolic differentiation; Symbolic integration; Taylor series; Theoretical presentation", thesaurus = "Calculus; Educational computing; Engineering computing; Series [mathematics]; Symbol manipulation; Teaching", } @Article{Michler:1990:SPC, author = "Gerhard O. Michler", title = "Some problems in computational representation theory. Computational group theory, Part {I}", journal = j-J-SYMBOLIC-COMP, volume = "9", number = "5-6", pages = "571--582", year = "1990", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "20C40 (20C15 20C20 68Q40)", MRnumber = "91k:20022", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Maple", reviewer = "David B. Surowski", } @Article{Pakes:1990:SRS, author = "Anthony G. Pakes", title = "On series of reciprocal sums of powers", journal = j-AUSTRALIAN-MATH-SOC-GAZ, volume = "17", number = "3", pages = "61--68", year = "1990", ISSN = "0311-0729 (print), 1326-2297 (electronic)", ISSN-L = "0311-0729", MRclass = "11A99 (11Y35)", MRnumber = "91k:11013", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Australian Mathematical Society Gazette", journal-URL = "http://www.austms.org.au/gazette", keywords = "Maple", reviewer = "F. Beukers", } @Article{Scott:1990:PSQa, author = "T. C. Scott and R. A. Moore and G. J. Fee and M. B. Monagan and G. Labahn and K. O. Geddes", title = "Perturbative solutions of quantum mechanical problems by symbolic computation: a review", journal = j-INT-J-MOD-PHYS-C, volume = "1", number = "1", pages = "53--76", year = "1990", CODEN = "IJMPEO", ISSN = "0129-1831 (print), 1793-6586 (electronic)", MRclass = "81Q15 (81-02 81-08)", MRnumber = "91f:81034", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Modern Physics C [Physics and Computers]", journal-URL = "http://www.worldscientific.com/loi/ijmpc", keywords = "Maple", } @Article{Scott:1990:PSQb, author = "T. C. Scott and R. A. Moore and M. B. Monagan and G. J. Fee and E. R. Vrscay", title = "Perturbative solutions of quantum mechanical problems by symbolic computation", journal = j-J-COMPUT-PHYS, volume = "87", number = "2", pages = "366--395", month = apr, year = "1990", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(90)90258-3", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "81Q15 (81-08 81V45)", MRnumber = "91b:81025", bibdate = "Mon Jan 2 07:55:40 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999190902583", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "Maple", } @InProceedings{Scott:1990:SAM, author = "Tony C. Scott and Greg J. Fee", title = "Some applications of {Maple} symbolic computation to scientific and engineering problems", crossref = "Watanabe:1990:IPI", pages = "302--303", year = "1990", bibdate = "Thu Sep 26 06:00:06 MDT 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Due to obvious space restrictions, it is impossible to present an exhaustive survey of where the Maple symbolic computation system [CGG+ 88] has proven itself useful as a problem-solver. Rather, we highlight some of the projects associated with the authors, at the University of Waterloo, and consequently present only a sample of what has and can be done with symbolic computation. However, these examples have been chosen from a broad spectrum of areas which includes: Quantum theory, General and Special Relativity, Audio Engineering and Asbestos fiber analysis (an application of Fluid and Magneto-dynamics). They represent new avenues of research and illustrate the large untapped potential of symbolic computation.", acknowledgement = ack-nhfb, affiliation = "Maple Symbolic Comput. Group, Waterloo Univ., Ont., Canada", classification = "721; 723; 921; C7300 (Natural sciences); C7400 (Engineering)", keywords = "Applications; Asbestos fiber analysis; Audio engineering; Automata Theory --- Computability and Decidability; Computer Software; General relativity; Maple; Mathematical Techniques --- Algebra; Quantum theory; Special relativity; Symbolic computation; Symbolic Computation System Maple", thesaurus = "Engineering computing; Natural sciences computing; Symbol manipulation", } @Article{Stephenson:1990:NSF, author = "John Stephenson and Yong Wang", title = "Numerical solution of {Feigenbaum}'s equation", journal = j-APPL-MATH-NOTES, volume = "15", pages = "68--78", year = "1990", ISSN = "0700-9224", MRclass = "58F13 (70K50)", MRnumber = "92c:58085", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics Notes", keywords = "Maple", reviewer = "James D. Meiss", } @MastersThesis{Wang:1990:UMS, author = "Rongdong Wang", title = "Using {MAPLE} for symbolic computations in robotics", type = "Thesis (M.S.)", school = "Northern Illinois University", address = "DeKalb, IL, USA", year = "1990", bibdate = "Fri Dec 29 12:52:15 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Wegrzyn:1990:SMD, author = "Stefan W{\k{e}}grzyn and Pierre Vidal and Jean-Charles Gille", title = "On some models for developmental systems. {XII}. More on internal context sensitivity", journal = j-INT-J-SYST-SCI, volume = "21", number = "8", pages = "1441--1449", year = "1990", CODEN = "IJSYA9", ISSN = "0020-7721 (print), 1464-5319 (electronic)", ISSN-L = "0020-7721", MRclass = "93A10 (93B35)", MRnumber = "91h:93002", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Systems Science", journal-URL = "http://www.tandfonline.com/loi/tsys20", keywords = "Maple", reviewer = "Guy Jumarie", } @InProceedings{Wiwianka:1990:ADC, author = "W. Wiwianka and B. Fuchssteiner", booktitle = "Nonlinear evolution equations and dynamical systems (Kolymbari, 1989)", title = "Algorithms to detect complete integrability in $ 1 + 1 $ dimension", publisher = pub-SV, address = "Berlin, Germany", pages = "131--135", year = "1990", MRclass = "58F07 (58-04)", MRnumber = "91g:58136", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Res. Rep. Phys.", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Almkvist:1991:MPF, author = "G. Almkvist and D. Zeilberger", title = "A {MAPLE} program that finds, and proves, recurrences and differential equations satisfied by hyperexponential definite integrals", journal = j-SIGSAM, volume = "25", number = "3", pages = "14--17", month = jul, year = "1991", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Mon Sep 30 05:41:47 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "In J. Symbolic Computation, vol.10, p.571 (1990), the authors described an algorithm that given a hyperexponential function of two variables F(x,y), produces a differential equation satisfied by A(x):=/sub - infinity / integral /sup infinity /F(x,y)dy. A function F(x,y) is hyperexponential if both F/sub x/(x,y)/F(x,y) and F/sub y/(x,y)/F(x,y) are rational functions of (x,y). A(x) always satisfies a linear differential equation with polynomial coefficients. The authors give a MAPLE program that implements that algorithm. The same algorithm, and program also finds, and proves, linear recurrences satisfied by expressions of the form A(n):=/sub - infinity / integral /sup infinity /F(n,y)dy, where F(n,y) is hyperexponential in y and hypergeometric in n: D/sub y/F(n,y)/F(n,y) and F(n+1,y)/F(n,y) are both rational functions in (n,y). Since many special function identities have one of the above forms, the authors' program is able to prove many non-trivial identities in the theory of special functions.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Lund Univ., Sweden", classification = "C7310 (Mathematics)", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "Differential equations; Hyperexponential definite integrals; Hypergeometric function; Linear recurrences; MAPLE program; Polynomial coefficients; Proofs; Rational functions; Special function identities", thesaurus = "Differential equations; Integral equations; Mathematics computing; Symbol manipulation; Theorem proving", } @InProceedings{Aluffi:1991:HMS, author = "Paolo Aluffi", title = "How many smooth plane cubics with given $j$-invariant are tangent to $8$ lines in general position?", crossref = "Kleiman:1991:EAG", pages = "15--29", year = "1991", MRclass = "14N10 (14C17 14H45)", MRnumber = "93e:14063", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Raquel Mallavibarrena", } @Book{Auer:1991:LAA, author = "John W. Auer", title = "Linear Algebra with Applications", publisher = pub-PH, address = pub-PH:adr, pages = "xv + 548", year = "1991", ISBN = "0-13-538349-8", ISBN-13 = "978-0-13-538349-0", LCCN = "QA 184 A84 1991", bibdate = "Fri Jul 08 10:16:13 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "{Maple}", } @InProceedings{Augot:1991:MDS, author = "D. Augot and P. Charpin and N. Sendrier", title = "The minimum distance of some binary codes via the {Newton}'s identities", crossref = "Cohen:1991:EIS", pages = "65--73", year = "1991", MRclass = "94B15", MRnumber = "92k:94024", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", } @Book{Bauldry:1991:CLM, author = "William C. Bauldry and Joseph R. Fiedler", title = "Calculus Laboratories with {Maple}: a Tool, Not an Oracle", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xii + 144", year = "1991", ISBN = "0-534-13788-1", ISBN-13 = "978-0-534-13788-5", LCCN = "MLCM 90/01887 (Q)", bibdate = "Mon Aug 22 14:13:24 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Bisoi:1991:MPG, author = "A. K. Bisoi", title = "A {Maple} program to generate orthonormal polynomials", journal = j-COMPUT-MATH-APPL, volume = "22", number = "9", pages = "1--5", month = "", year = "1991", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Mon Sep 30 05:36:13 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "A program in the symbolic manipulation language Maple has been developed for generating orthonormal polynomials over (-1, 1) with the weight function w(x, k)=x/sup k/, for even k. The program also finds the roots of these polynomials and expands a test function in terms of these polynomials.", acknowledgement = ack-nhfb, affiliation = "Int. Center for Theor. Phys., Trieste, Italy", classification = "C4130 (Interpolation and function approximation); C7310 (Mathematics)", fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", keywords = "Maple program; Orthonormal polynomials; Roots; Symbolic manipulation language; Test function; Weight function", pubcountry = "UK", thesaurus = "Complete computer programs; Mathematics computing; Polynomials; Symbol manipulation", } @InProceedings{Broer:1991:HST, author = "Bram Broer", booktitle = "Computational aspects of Lie group representations and related topics (Amsterdam, 1990)", title = "{Hilbert} series for ternary forms", volume = "84", publisher = "Math. Centrum, Centrum Wisk. Inform.", address = "Amsterdam, The Netherlands", pages = "1--18", year = "1991", MRclass = "11E57 (11E20 20G05 20G45)", MRnumber = "92m:11041", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "CWI Tract", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Rainer Schulze-Pillot", } @InProceedings{Bronstein:1991:RDE, author = "Manuel Bronstein", title = "The {Risch} differential equation on an algebraic curve", crossref = "Watt:1991:IPI", pages = "241--246", year = "1991", bibdate = "Thu Mar 12 08:38:03 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p241-bronstein/", abstract = "The author presents a new rational algorithm for solving Risch differential equations over algebraic curves. This algorithm can also be used to solve $ n^{\mbox {th}} $-order linear ordinary differential equations with coefficients in an algebraic extension of the rational functions. In the general (`mixed function') case, this algorithm finds the denominator of any solution of the equation. The algorithm has been implemented in the Maple and Scratchpad computer algebra systems.", acknowledgement = ack-nhfb, affiliation = "Inf. ETH-Zentrum, Zurich, Switzerland", classification = "C4170 (Differential equations); C7310 (Mathematics)", keywords = "$N^{th}$-order linear ordinary differential equations; Algebraic curve; algorithms; Computer algebra systems; Maple; Rational algorithm; Rational functions; Risch differential equation; Scratchpad", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf G.1.3} Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods). {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, SCRATCHPAD. {\bf G.1.7} Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Differential equations; Symbol manipulation", } @Article{Broughan:1991:SSC, author = "K. A. Broughan and G. Keady and T. D. Robb and M. G. Richardson and M. C. Dewar", title = "Some Symbolic Computing Links to the {NAG} Numeric Library", journal = j-SIGSAM, volume = "25", number = "3", pages = "28--37", month = jul, year = "1991", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:01 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This article intended to help readers compare the three products, SENAC, InterCall and IRENA. Each of the three is in the Numerical Algorithms Group (Fortran 77). SENAC is a package developed by the Mathematical Software Project at the University of Waikato. SENAC includes a symbolic manipulation interpreter (Sencore), together with high level interfaces to the NAG Fortran Library (Numlink) and NAG Graphics Library (Graflink). The system evolved from an interface, Naglink, between the NAG Library and the symbolic manipulation language Macsyma. The Sensore interpreter is written in Common LISP and belongs to the Macsyma/Maple/Reduce family of languages. It is easy to load user-written files written in Common LISP or in SENAC. InterCall is a Mathematica package that enables its user to interactively call external code, for example from an external numeric library. It allows various default settings to be defined for any arguments that need to be passed to any routine in that code, and initial default settings for all the routines in the IMSL and NAG libraries are included with InterCall in the form of a small defaults-database file. IRENA-an Interface from Reduce to NAG-runs under the Reduce computer algebra system and provides an interactive front end to the NAG Library. It has been designed to make the use of the NAG Library considerably simpler, in a number of ways.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. and Stat., Waikato Univ., Hamilton, New Zealand", classcodes = "C7310 (Mathematics); C6180 (User interfaces)", classification = "C6180 (User interfaces); C7310 (Mathematics)", corpsource = "Dept. of Math. and Stat., Waikato Univ., Hamilton, New Zealand", fjournal = "SIGSAM Bulletin", issue = "97", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "algebra system; argument passing; Argument passing; Common LISP; computer; Computer algebra system; default; Default settings; defaults-database file; Defaults-database file; external code; External code; FORTRAN; Graflink; high level; High level interfaces; IMSL; interactive front end; Interactive front end; InterCall; interfaces; IRENA; Library; Macsyma; Mathematica package; NAG Fortran Library; NAG Graphics; NAG Graphics Library; Naglink; numeric library; Numeric library; Numerical Algorithms Group; Numlink; Reduce; SENAC; Sencore; settings; subroutines; symbol manipulation; symbolic computing; Symbolic computing; symbolic manipulation interpreter; Symbolic manipulation interpreter; user interfaces; user-written files; User-written files", thesaurus = "FORTRAN; Subroutines; Symbol manipulation; User interfaces", treatment = "P Practical; R Product Review", } @InProceedings{Bryant:1991:TEH, author = "Robert L. Bryant", title = "Two exotic holonomies in dimension four, path geometries, and twistor theory", crossref = "Carlson:1991:CGL", pages = "33--88", year = "1991", MRclass = "53C05 (32L25 53A55 53C15)", MRnumber = "93e:53030", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "S. M. Salamon", } @MastersThesis{Bui:1991:ABE, author = "Thi to Hong Bui", title = "Algorithmen zur Bestimmung Einiger Eigenschaften von Reellen Funktionen", school = "Technischen Universit{\"{a}}t Carolo-Wilhelmina zu Braunschweig", address = "Braunschweig, Germany", year = "1991", bibdate = "Sat Dec 30 09:06:59 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Bei der Untersuchung einer Reelwertigen Funktion Ermittelt Man Einige Eigenschaften Oder Spezielle Stuetzpunkte Wie Symmetrie, Extrem- und Nullstellen Usw., Umm Gewisse Aussagen ueber Ihr Verhalten Bzw. Ihr Kurvenbild Machen zu Koennen. Eserhebt sich die Frage, Ob Man Diese Vorgehensweise Algorithmisch Erfassen Kann. in Dieser Diplomarbeit Werden Algorithmen zur Bestimmung Einiger Eigenschaften Reelwertiger Funktionen Formuliert. MIT Hilfe von Grammatiken Lassen sich Diese Funktionen Erkennen und in Funktionsklassen Gruppieren. auf der Grundlage Diesergrammatiken und durch Anwendung Bekannter Saetze aus der Analysis Werden die Algorithmen Konstruiert. Sie Sollen Spaeter MIT der Speziellen Programmiersprache Maple Implementiert Werden.", descriptor = "Kurvendiskussion, Maple, Reelle Funktion", } @Article{Carminati:1991:AIR, author = "J. Carminati and R. G. McLenaghan", title = "Algebraic invariants of the {Riemann} tensor in a four-dimensional {Lorentzian} space", journal = j-J-MATH-PHYS, volume = "32", number = "11", pages = "3135--3140", year = "1991", CODEN = "JMAPAQ", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "83C60 (53C80 83C20 83C99)", MRnumber = "93c:83081", bibdate = "Fri Jan 02 11:30:32 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", keywords = "Maple", reviewer = "Garry Ludwig", } @TechReport{Char:1991:MLR, author = "Bruce W. Char and others", title = "{Maple} Language Reference Manual", institution = inst-WATERLOO, address = inst-WATERLOO:adr, pages = "ii + 153", year = "1991", bibdate = "Wed Dec 27 16:39:54 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Pre-publication manuscript", acknowledgement = ack-nhfb, } @Book{Char:1991:MLVb, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and Benton Leong and Michael B. Monagan and Stephen M. Watt", title = "{Maple Library V} Reference Manual", publisher = pub-SV, address = pub-SV:adr, pages = "xxv + 698", year = "1991", DOI = "https://doi.org/10.1007/978-1-4757-2133-1", ISBN = "0-387-97592-6, 3-540-97592-6", ISBN-13 = "978-0-387-97592-4, 978-3-540-97592-2", LCCN = "QA155.7.E4 M353 1991", bibdate = "Fri Jul 08 19:01:01 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; http://www.math.utah.edu/pub/tex/bib/texbook2.bib", abstract = "The design and implementation of the Maple system is an on-going project of the Symbolic Computation Group at the University of Waterloo in Ontario, Canada. This manual corresponds with version V (roman numeral five) of the Maple system. The on-line help subsystem can be invoked from within a Maple session to view documentation on specific topics. In particular, the command ``?updates'' points the user to documentation updates for each new version of Maple. The Maple project was first conceived in the autumn of 1980, growing out of discussions on the state of symbolic computation at the University of Waterloo. The authors wish to acknowledge many fruitful discussions with colleagues at the University of Waterloo, particularly Morven Gentleman, Michael Malcolm, and Frank Tompa. It was recognized in these discussions that none of the locally-available systems for symbolic computation provided the facilities that should be expected for symbolic computation in modern computing environments. We concluded that since the basic design decisions for the then-current symbolic systems such as ALTRAN, CAMAL, REDUCE, and MACSYMA were based on 1960's computing technology, it would be wise to design a new system ``from scratch''. Thus we could take advantage of the software engineering technology which had become available in recent years, as well as drawing from the lessons of experience. Maple's basic features (elementary data structures, Input\slash output, arithmetic with numbers, and elementary simplification) are coded in a systems programming language for efficiency.", acknowledgement = ack-nhfb, tableofcontents = "The Maple Library \\ Main routines \\ Packages \\ Packages for discrete mathematics \\ Packages for applied mathematics \\ Packages for geometry \\ Miscellaneous packages", } @Book{Char:1991:MVLa, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and Benton Leong and Michael B. Monagan and Stephen M. Watt", title = "{Maple V}: Language Reference Manual", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 267", year = "1991", DOI = "https://doi.org/10.1007/978-1-4615-7386-9", ISBN = "0-387-97622-1 (New York), 3-540-97622-1 (Berlin)", ISBN-13 = "978-0-387-97622-8 (New York), 978-3-540-97622-6 (Berlin)", LCCN = "QA155.7.E4 M36 1991", bibdate = "Wed Dec 1 12:17:05 1993", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; http://www.math.utah.edu/pub/tex/bib/texbook2.bib", price = "US\$24.95, FF 193,00", abstract = "This book describes the Maple Symbolic Computation System and the Maple V language. It describes the numeric and symbolic expressions that can be used in Maple V. All the basic data types, such as names, polynomials, and functions, as well as structured data types, are covered. The book also gives a complete description of the programming language statements that are provided in the Maple V system and shows how a user can extend the functionality of the Maple V system by adding user-defined routines. The manual also provides a complete description of the Maple V system, including its 2D and 3D graphics. Maple V features a newly designed user interface on many systems. Separate appendices describe how to use Maple V on systems using the X Window System, DOS, and the Macintosh.", acknowledgement = ack-nhfb, shorttableofcontents = "Language elements \\ Statements and expressions \\ Data types \\ Type testing \\ Arrays and tables \\ Procedures \\ Operators \\ Internal representation and manipulation \\ Plotting \\ Miscellaneous facilities \\ Overview of the Maple Library \\ A. Maple under UNIX \\ B. Using Maple with X \\ C. Maple under DOS", tableofcontents = "1 Introduction \\ 1.1 Some General Examples \\ 1.2 Numbers \\ 1.3 Examples from Calculus \\ 1.4 Data Structures \\ 1.5 Examples from Linear Algebra \\ 1.6 Equation Solving \\ 1.7 Output and Programming \\ 2 Language Elements \\ 2.1 Character Set \\ 2.2 Tokens \\ 2.3 Escape Characters \\ 2.4 Blanks, Lines, Comments, and Continuation \\ 2.5 Files \\ 3 Statements and Expressions \\ 3.1 Types of Statements \\ 3.2 Expressions \\ 3.3 Formal Syntax \\ 4 Data Types \\ 4.1 Basic Data Types \\ 4.2 Map, Subs, and Subsop \\ 5 Type Testing \\ 5.1 Definition of a Type in Maple \\ 5.2 Simple Types \\ 5.3 Structured Types \\ 5.4 Surface and Nested Types \\ 5.5 Simplification of Types \\ 5.6 Parameter Type Testing \\ 5.7 Undesirable Simplifications and Evaluations of Types \\ 5.8 Type Testing Versus Pattern Matching \\ 6 Arrays and Tables \\ 6.1 Overview \\ 6.2 Creating Tables \\ 6.3 Evaluation Rules for Tables and Table Components \\ 6.4 Tables as Objects \\ 6.5 Indexing Functions \\ 7 Procedures \\ 7.1 Procedure Definitions \\ 7.2 Parameter Passing \\ 7.3 Local Variables \\ 7.4 Options \\ 7.5 Remember Tables \\ 7.6 Assigning Values to Parameters \\ 7.7 Error Returns and Explicit Returns \\ 7.8 Simplification and Returning Unevaluated \\ 7.9 Boolean Procedures \\ 7.10 Reading and Saving Procedures \\ 8 Operators \\ 8.1 Operator Definition \\ 8.2 Syntactic Definition \\ 8.3 Semantic Definition \\ 8.3.1 Application Versus Composition \\ 8.4 Partial Definition of Operators \\ 8.5 Example: The Differentiation Operator D \\ 9 Internal Representation and Manipulation \\ 9.1 Internal Organization \\ 9.2 Internal Representation of Data Types \\ 9.3 The Use of Hashing in Maple \\ 9.4 Portability of the Maple System \\ 10 Plotting \\ 10.1 Introduction \\ 10.2 Plots in 2D \\ 10.3 Plots in 3D \\ 10.4 Saving Plots \\ 10.5 Plots Package \\ 10.6 Examples \\ 11 Miscellaneous Facilities \\ 11.1 Debugging Facilities: Detecting Syntax Errors \\ 11.2 Debugging Facilities: Monitoring Run-Time Execution \\ 11.3 Alias and Macro \\ 11.4 Monitoring Space and Time \\ 11.5 Global Variables \\ 11.6 User Interface Variables \\ 11.7 Maple Command Line Options \\ 11.8 Other Facilities \\ 12 Overview of the Maple Library \\ 12.1 Introduction \\ 12.2 Description of the Maple Library \\ 12.3 Format of Library Function Descriptions \\ 12.4 Printing Maple Help Files \\ 12.5 Library Index \\ A Maple under UNIX \\ A.1 Introduction \\ A.2 Maple Initialization Files \\ A.3 Quit and Interrupt Characters \\ A.4 Temporarily Escaping from Maple \\ A.5 Redirection of Input and Output \\ A.6 Maple Command Line Options for UNIX \\ A.6.1 Overview of Maple command line options \\ A.6.2 Library Specification Option: -b \\ A.6.3 Suppress Initialization Option: -s \\ A.6.4 Quiet Option: -q \\ A.7 Mint \\ A.8 Summary of Site- and UNIX- Dependent Aspects of Maple \\ B Using Maple with X \\ B.1 Introduction \\ B.2 Getting Started \\ B.3 Entering Commands in Maple \\ B.4 Editing \\ B.5 Maple Input and Output Cells \\ B.6 Including and Saving Text \\ B.7 Searching \\ B.8 Resource Usage \\ B.9 Interrupt, Pause and Quit Buttons \\ B.10 Resizing Windows \\ B.11 Help Windows \\ B.12 2D Plot Windows \\ B.13 3D Plot Windows \\ B.14 Customizing Maple Under X \\ B.15 Tips \\ B.16 Troubleshooting \\ B.17 Information for Xperts \\ C Maple under DOS \\ C.1 Introduction \\ C.2 Using Maple V \\ C.2.1 Exiting Maple \\ C.2.2 The Status Line \\ C.2.3 The Command Line Editor \\ C.2.4 Expression Editing \\ C.2.5 File Editing \\ C.2.6 Accessing Maple Help \\ C.2.7 Session Review Mode \\ C.2.8 Using the Menu \\ C.2.9 Input/Output Capture Mode \\ C.3 Manipulating Graphical Output \\ C.3.1 Three Dimensional Graphics Display Driver \\ C.3.2 Two Dimensional Graphics Display Driver \\ C.3.3 Printing and Saving Graphic Output \\ C.3.4 Using Maple Plots in Other Programs", } @Article{Char:1991:RAM, author = "Bruce W. Char", title = "Report on the 8th {Annual Maple Workshop}", journal = j-SIGSAM, volume = "25", number = "1", pages = "24--24", month = jan, year = "1991", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Sep 06 07:03:09 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @Article{Corless:1992:NEAb, author = "R. M. Corless and D. J. Jeffrey and H. Rasmussen", title = "Numerical evaluation of {Airy} functions with complex arguments", journal = j-J-COMPUT-PHYS, volume = "99", number = "1", pages = "106--114", month = mar, year = "1992", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(92)90279-8", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65D20 (33E30)", MRnumber = "92k:65028", bibdate = "Mon Jan 2 07:55:54 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999192902798", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "Maple", } @InProceedings{deJager:1991:SCZ, author = "Bram de Jager", title = "Symbolic calculation of zero dynamics for nonlinear control systems", crossref = "Watt:1991:IPI", pages = "321--322", year = "1991", bibdate = "Thu Mar 12 08:38:03 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p321-de_jager/", abstract = "The calculation of the zero dynamics of a nonlinear system is of advantage in the design of controllers for this system. Because the calculation is difficult to do by hand, symbolic algebra programs are used. To access the usefulness of these programs and to solve some design problems, a MAPLE procedure, ZERODYN, is written to calculate the zero dynamics symbolically. The procedure can, however, not solve all problems, mainly because general symbolic algebra programs have insufficient capabilities to solve sets of nonlinear equations and partial differential equations. A realistic analysis problem shows this.", acknowledgement = ack-nhfb, affiliation = "Dept. of Mech. Eng., Eindhoven Univ. of Technol., Netherlands", classification = "C1340K (Nonlinear systems); C7310 (Mathematics)", keywords = "algorithms; experimentation; MAPLE procedure; Nonlinear control systems; Nonlinear system; Partial differential equations; Symbolic algebra; Zero dynamics; ZERODYN", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Nonlinear control systems; Symbol manipulation", } @Article{Garbey:1991:UMA, author = "Marc Garbey and Hans G. Kaper and Gary K. Leaf and Bernard J. Matkowsky", title = "Using {MAPLE} for the Analysis of Bifurcation Phenomena in Condensed-Phase Surface Combustion", journal = j-J-SYMBOLIC-COMP, volume = "12", number = "1", pages = "89--114 (or 89--113??)", month = jul, year = "1991", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40", MRnumber = "1 124 306", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", classcodes = "C7310 (Mathematics); C4170 (Differential equations); C4150 (Nonlinear and functional equations)", classification = "C4150 (Nonlinear and functional equations); C4170 (Differential equations); C7310 (Mathematics)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "bifurcation phenomena; Bifurcation phenomena; boundary value; Boundary value problem; boundary-value problems; combustion; condensed-phase surface; Condensed-phase surface combustion; cylindrical solid fuel element; Cylindrical solid fuel element; MAPLE; nonlinear differential equations; nonlinear partial differential equations; Nonlinear partial differential equations; partial differential equations; problem; stability properties; Stability properties; structure; Structure; symbol manipulation; symbolic manipulation language; Symbolic manipulation language", thesaurus = "Boundary-value problems; Nonlinear differential equations; Partial differential equations; Symbol manipulation", treatment = "P Practical; T Theoretical or Mathematical", } @InProceedings{Gaubert:1991:RCD, author = "St{\'e}phane Gaubert and Carlos Klimann", booktitle = "Algebraic computing in control (Paris, 1991)", title = "Rational computation in dioid algebra and its application to performance evaluation of discrete event systems", volume = "165", publisher = pub-SV, address = "Berlin, Germany", pages = "241--252", year = "1991", MRclass = "93B40 (65K05)", MRnumber = "92k:93060", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Lecture Notes in Control and Inform. Sci.", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Grotendorst:1991:MPT, author = "J. Grotendorst", title = "{Maple} package for transforming series, sequences and functions", journal = j-COMP-PHYS-COMM, volume = "67", number = "2", pages = "325--342", month = dec, year = "1991", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "65B10 (65-04)", MRnumber = "140 050", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "In recent years many powerful sequence transformations, mainly nonlinear methods, for increasing the rate and expanding the domain of the convergence of series (sequences) were designed. The program trans is a revised package of Maple functions for transforming symbolic and numerical series (sequences) as well as functions having formal series expansions. Each sequence transformation is performed using a special recursive algorithm. This approach yields more efficient programs compared to an implementation via the general extrapolation algorithm of Brezinski and Havie which contains many of the transformations as special cases. The new Maple package trans differs from the original (Comput. Phys. Commun. 59 (1990) 289) in efficiency, extended capabilities and revised notation.", acknowledgement = ack-nhfb, affiliation = "Forschungszentrum Juelich GmbH", affiliationaddress = "Juelich, Ger", classification = "723; 921; 931", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "Computer Programming Languages --- Applications; Convergence Acceleration; Divergent Series; Maple V Computer Software; Mathematical Techniques; Mathematical Techniques --- Algorithms; Mathematical Transformations --- Computer Applications; Numerical Methods; Quantum Theory --- Computer Applications; Rational Approximation; Recursive And Extrapolation Algorithms; Series, Sequence And Function Transformations", } @Book{Harper:1991:GCA, author = "David Harper and Chris Wooff and David Hodgkinson", title = "A Guide to Computer Algebra Systems", publisher = pub-JW, address = pub-JW:adr, pages = "xii + 148", year = "1991", ISBN = "0-471-92910-7", ISBN-13 = "978-0-471-92910-9", LCCN = "QA155.7.E4 H37 1991", bibdate = "Wed Jun 15 11:46:03 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "{Maple}", } @Article{Jank:1991:CMU, author = "G. Jank and L. H. Tack", title = "Conformal Mapping Using {Bergman}'s Method and the {MAPLE} System", journal = j-SIGSAM, volume = "25", number = "2", pages = "18--23", month = apr, year = "1991", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @InProceedings{Kleczka:1991:SCA, author = "W. Kleczka and E. Kreuzer", title = "Systematic computer-aided analysis of dynamic systems", crossref = "Watt:1991:IPI", pages = "429--430", year = "1991", bibdate = "Thu Mar 12 08:38:03 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p429-kleczka/", abstract = "An automated numerical-symbolical analysis concept for dynamic systems in engineering mechanics is outlined. Besides the computerized generation of symbolic equations of motion, the subsequent analysis is also performed by means of computer algebra in combination with well-established numerical methods.", acknowledgement = ack-nhfb, affiliation = "Meerestech. II, Tech. Univ., Hamburg-Harburg, Germany", classification = "C1210 (General system theory); C7440 (Civil and mechanical engineering)", keywords = "algorithms; Computer-aided analysis; Dynamic systems; Engineering mechanics; Numerical-symbolical analysis; Symbolic equations", subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General. {\bf J.2} Computer Applications, PHYSICAL SCIENCES AND ENGINEERING, Engineering. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf G.1.3} Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Eigenvalues and eigenvectors (direct and iterative methods).", thesaurus = "Computer aided analysis; Convergence of numerical methods; Mechanical engineering computing; Symbol manipulation", } @Article{Koepf:1991:TCM, author = "Wolfram Koepf", title = "On two conjectures of {M. S. Robertson}", journal = j-COMPLEX-VARIABLES-THEORY-APPL, volume = "16", number = "2-3", pages = "127--130", year = "1991", CODEN = "CVTADV", ISSN = "0278-1077", ISSN-L = "0278-1077", MRclass = "30B10 (30-04 68Q40)", MRnumber = "92f:30004", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Complex variables, theory and application", keywords = "Maple", reviewer = "P. Lappan", } @InProceedings{Koornwinder:1991:HHS, author = "Tom H. Koornwinder", booktitle = "Orthogonal polynomials and their applications (Erice, 1990)", title = "Handling hypergeometric series in {Maple}", volume = "9", publisher = pub-BALTZER, address = pub-BALTZER:adr, pages = "73--80", year = "1991", MRclass = "33C20 (33-04)", MRnumber = "95f:33006", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "IMACS Ann. Comput. Appl. Math.", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Harold Exton", } @Article{Kwong:1991:NIP, author = "Man Kam Kwong and A. Zettl", title = "Norm inequalities for the powers of a matrix", journal = j-AMER-MATH-MONTHLY, volume = "98", number = "6", pages = "533--538", year = "1991", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "15A60 (15-04)", MRnumber = "92c:15027", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", keywords = "Maple", reviewer = "Shao Kuan Li", } @Article{Lassalle:1991:PJG, author = "Michel Lassalle", title = "Polyn{\^o}mes de {Jacobi} g{\'e}n{\'e}ralis{\'e}s (French) [Generalized {Jacobi} polynomials]", journal = j-C-R-MATH-I, volume = "312", number = "6", pages = "425--428", year = "1991", CODEN = "CHASAP", ISSN = "0764-4442 (print), 1778-3577 (electronic)", MRclass = "33C45 (33C50)", MRnumber = "92g:33019", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", language = "French", reviewer = "Peter A. McCoy", } @InProceedings{Lavaud:1991:ASE, author = "M. Lavaud", title = "{A$^S$ \TeX}: a software environment on {PC} adapted to scientific research", crossref = "Glowinski:1991:PIC", pages = "779--788", month = "", year = "1991", bibdate = "Mon Sep 30 05:36:13 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "CNRS, Orleans Univ., France", classification = "C6130D (Document processing techniques); C7106 (Word processing); C7300 (Natural sciences)", keywords = "A/sup S/T/sub E/X; Computer algebra; Customizable multiwindow environment; Document structure; Fortran; Framework 3; Hypertext file manager; L/sup A/T/sub E/X files; LAN; Live links; Maple; Microcomputer; Numerical computations; Scientific research; Sectioning commands; Title hierarchy; Unix station; Workstation", thesaurus = "Hypermedia; Natural sciences computing; Symbol manipulation; User interfaces; Word processing", } @InCollection{LeVey:1991:JUM, author = "G. {Le Vey} and J. Masse", booktitle = "Algebraic computing in control (Paris, 1991)", title = "Joint use of {Maple} and {Basile}: using computer algebra in a {CACSD} environment", volume = "165", publisher = pub-SV, address = pub-SV:adr, pages = "156--164", year = "1991", MRclass = "93B40", MRnumber = "MR1151203", bibdate = "Sat Apr 16 17:28:34 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Lecture Notes in Control and Inform. Sci.", } @InProceedings{Pecelli:1991:FMD, author = "Giampiero Pecelli", title = "Formal methods in delay-differential equations", crossref = "Watt:1991:IPI", pages = "317--318", year = "1991", bibdate = "Thu Mar 12 08:38:03 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p317-pecelli/", abstract = "Studies formal methods in the solution of delay-differential equations (DDEs). The motivation for such study comes from the introduction of Hopf bifurcation techniques and the method of averaging to the study of stable oscillations in such systems. The author concentrates on the formal aspects associated with the construction of solutions required for an application of the methods. These classes of solutions are quite simple, being solutions to linear systems. The paper concentrates on completing the formalization and showing that an automated system is possible.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Lowell Univ., MA, USA", classification = "C4170 (Differential equations)", keywords = "algorithms; DDEs; Delay-differential equations; Formal methods; Hopf bifurcation; Stable oscillations", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms. {\bf G.1.3} Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Differential equations", } @InProceedings{Ponce-Nunez:1991:GHB, author = "E. J. Ponce-N{\'u}{\~n}ez and E. Gamero", title = "Generating {Hopf} bifurcation formulae with {MAPLE}", crossref = "Seydel:1991:BCA", pages = "295--299", year = "1991", MRclass = "58F14 (58-04 65L99)", MRnumber = "92e:58147", bibdate = "Sat Aug 17 16:30:01 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Internat. Ser. Numer. Math.", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Salvy:1991:EAA, author = "B. Salvy", title = "Examples of automatic asymptotic expansions", journal = j-SIGSAM, volume = "25", number = "2", pages = "4--17", month = apr, year = "1991", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Mon Sep 30 05:41:47 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Describes the current state of a Maple library, gdev, designed to perform asymptotic expansions for a large class of expressions. Many examples are provided, along with a short sketch of the underlying principles. At the time when this report is written, a striking feature of these examples is that none of them can be computed directly with any of today's most widespread symbolic computation systems (Macsyma, Mathematica, Maple or Scratchpad II).", acknowledgement = ack-nhfb, affiliation = "LIX, Ecole Polytech., Palaiseau, France", classification = "C6130 (Data handling techniques); C7310 (Mathematics)", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "Automatic asymptotic expansions; Expressions; Gdev; Maple library; Symbolic computation systems", thesaurus = "Symbol manipulation", } @Article{Sira-Ramirez:1991:SSM, author = "Hebertt Sira-Ramirez and Miguel Rios-Bol{\'\i}var", title = "Synthesis of sliding-mode controllers for nonlinear systems via extended linearization", journal = j-DYNAMICS-CONTROL, volume = "1", number = "4", pages = "379--403", year = "1991", MRclass = "93B12 (93B50)", MRnumber = "92j:93025", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Dynamics Control", keywords = "Maple", reviewer = "H. A. Nour Eldin", } @InProceedings{Vey:1991:JUM, author = "G. {Le Vey} and J. Masse", booktitle = "Algebraic computing in control (Paris, 1991)", title = "Joint use of {Maple} and {Basile}: using computer algebra in a {CACSD} environment", volume = "165", publisher = pub-SV, address = "Berlin, Germany", pages = "156--164", year = "1991", MRclass = "93B40", MRnumber = "151 203", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Lecture Notes in Control and Inform. Sci.", acknowledgement = ack-nhfb, keywords = "Maple", } @InProceedings{Vinette:1991:FSC, author = "F. Vinette", title = "Features of symbolic computation exploited in the calculation of lower energy bounds of cyclic polyene models", crossref = "Watt:1991:IPI", pages = "458--459", year = "1991", bibdate = "Thu Mar 12 08:38:03 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p458-vinette/", abstract = "Symbolic computation has been applied in many scientific disciplines and has proved to be a very valuable research tool. In earlier studies, features of symbolic computation including algebraic manipulations and high decimal precision, were shown to be very useful to solve nonrelativistic quantum mechanical problems. The author illustrates the valuable assistance of symbolic computation in solving quantum chemical problems. The symbolic computational language MAPLE is used throughout this study. The computational aspects of the application of L{\"o}wdin's Optimized Inner Projection (OIP) to determine lower bounds to the ground state energy of the Pariser-Parr-Pople (PPP) model of cyclic polyenes, is briefly presented. A diagrammatic approach for evaluating the required matrix elements is needed: this method is often used in quantum chemistry. The evaluation of Brandow diagrams, which is very tedious and almost impossible to do by hand, is easily obtained using MAPLE.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. and Stat., York Univ., North York, Ont., Canada", classification = "A3115 (General mathematical and computational developments); A3120 (Specific calculations and results); C7320 (Physics and Chemistry)", keywords = "algorithms; Brandow diagrams; Cyclic polyene models; Ground state energy; languages; Lower energy bounds; MAPLE; Optimized Inner Projection; Pariser-Parr-Pople; Quantum chemical problems; Symbolic computation", subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General. {\bf J.2} Computer Applications, PHYSICAL SCIENCES AND ENGINEERING, Chemistry. {\bf I.1.4} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Applications. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language Classifications, FORTRAN.", thesaurus = "Chemistry computing; Molecular energy level calculations; Organic compounds; Quantum chemistry; Symbol manipulation", } @Article{Wang:1991:ACZ, author = "Rongdong Wang and Peng-Yung Woo", title = "Automatic computation of {Z} and inverse {Z} transformations by {MAPLE}", journal = "IECON Proceedings (Industrial Electronics Conference)", volume = "2", pages = "1092--1094", year = "1991", CODEN = "IEPREA", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "IEEE catalog number 91CH2976-9.", abstract = "Programs are presented for automatic generation of z-transformations and inverse z-transformations, by using the algebraic manipulation software MAPLE. They are easy to use. The users only need to type into the computer the time-domain expression of a function, and the program will yield a z-domain expression of that specified function. Similarly, another program will yield a time-domain expression from a z-domain expression of a function. Examples are given.", acknowledgement = ack-nhfb, affiliation = "Dept of Math, Texas A\&I Univ, Kingsville, TX, USA", classification = "723.1; 731.1; 731.5; 921.6", conference = "Proceedings of the 1991 International Conference on Industrial Electronics, Control and Instrumentation --- IECON '91", conferenceyear = "1991", journalabr = "IECON Proc", keywords = "Automatic computation; Computer aided analysis; Computer software; Robotics; Software package Maple; Time domain analysis; Z Transforms", meetingaddress = "Kobe, Japan", meetingdate = "Oct 28--Nov 1 1991", meetingdate2 = "10/28--11/01/91", publisherinfo = "Computer Society", sponsor = "IEEE Industrial Electronics Soc; Soc of Instrument \& Control Engineers of Japan", } @Book{Zaitsev:1991:CDG, author = "V. F. Za{\u\i}tsev and A. V. Flegontov", title = "{{\cyr Diskretno-gruppovye metody integrirovaniya obyknovennykh differentsial\cprime nykh uravneni{\u\i}}}. ({Russian}) [{Discrete-group} methods for the integration of ordinary differential equations]", publisher = "Akad. Nauk SSSR, Leningrad. Inst. Inform. Avtomat.", address = "Leningrad, Russia", pages = "240", year = "1991", ISBN = "5-201-10181-X", ISBN-13 = "978-5-201-10181-7", LCCN = "QA155.7.E4 Z3 1991", MRclass = "34A05 (34-04 34A34 58F37)", MRnumber = "94e:34004", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", language = "Russian", reviewer = "Maria Clara Nucci", } @Article{Zeilberger:1991:MPP, author = "Doron Zeilberger", title = "A {Maple} program for proving hypergeometric identities", journal = j-SIGSAM, volume = "25", number = "3", pages = "4--13", month = jul, year = "1991", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:01 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Gives the listing of a MAPLE program for implementing an algorithm for proving any terminating definite hypergeometric identity, and more generally, for finding the linear recurrence satisfied by any definite hypergeometric sum R(n):= Sigma /sub k/F(n,k), where F(n,k) has the form x/sup k/( Pi /sub i=1//sup m/( alpha /sub i/n+ beta /sub i/k+c/sub i/)!/ Pi /sub i'=1//sup m'/( alpha '/sub i'/n+ beta '/sub i'/k+c'/sub i'/)!). The algorithm for definite hypergeometric summation relies on Gosper's (1978) ingenious decision procedure for indefinite summation, but not in the obvious way!.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. and Comput. Sci., Drexel Univ., Philadelphia, PA, USA", classcodes = "C7310 (Mathematics)", classification = "C7310 (Mathematics)", corpsource = "Dept. of Math. and Comput. Sci., Drexel Univ., Philadelphia, PA, USA", fjournal = "SIGSAM Bulletin", issue = "97", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "definite; Definite hypergeometric summation; hypergeometric identity; hypergeometric summation; linear recurrence; Linear recurrence; manipulation; MAPLE program; mathematics computing; proofs; Proofs; public domain software; shareware; Shareware; symbol; terminating definite; Terminating definite hypergeometric identity; theorem proving", thesaurus = "Mathematics computing; Public domain software; Symbol manipulation; Theorem proving", treatment = "P Practical", } @Article{Anonymous:1992:MV, author = "Anonymous", title = "{Maple V}", journal = j-MACWORLD, volume = "9", number = "5", pages = "190--190", month = may, year = "1992", CODEN = "MACWEA", ISSN = "0741-8647", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Symbolic math software", acknowledgement = ack-nhfb, fjournal = "Macworld", } @Article{Anonymous:1992:SR, author = "Anonymous", title = "Software Reviews", journal = j-MATH-COMP-EDU, volume = "26", number = "3", pages = "337--??", month = "Fall", year = "1992", CODEN = "MCEDDA", ISSN = "0730-8639", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Maple V: Student Edition; Objectlogo; Persuasion.", acknowledgement = ack-nhfb, fjournal = "Mathematics and computer education", } @Book{Anton:1992:CAG, author = "Howard Anton and Albert Herr", title = "Calculus with analytic geometry", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Fourth", pages = "various", year = "1992", ISBN = "0-471-50901-9", ISBN-13 = "978-0-471-50901-1", LCCN = "QA303 .A53 1992", bibdate = "Sat Mar 9 08:21:34 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "calculus; geometry, analytic", } @Article{Avis:1992:PAC, author = "David Avis and Komei Fukuda", title = "A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra", journal = j-DISCRETE-COMPUT-GEOM, volume = "8", number = "3", pages = "295--313", year = "1992", CODEN = "DCGEER", ISSN = "0179-5376 (print), 1432-0444 (electronic)", ISSN-L = "0179-5376", MRclass = "68U05 (52B55 65Y25)", MRnumber = "93h:68137", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "ACM Symposium on Computational Geometry (North Conway, NH, 1991)", acknowledgement = ack-nhfb, fjournal = "Discrete and Computational Geometry", journal-URL = "http://link.springer.com/journal/454", keywords = "Maple", reviewer = "Henk J. A. M. Heijmans", } @InBook{Baillon:1992:ORA, author = "Jean-Bernard Baillon and Ronald E. Bruck", booktitle = "Fixed point theory and applications (Halifax, NS, 1991)", title = "Optimal rates of asymptotic regularity for averaged nonexpansive mappings", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "27--66", year = "1992", MRclass = "47H09 (47H15 47H20)", MRnumber = "93i:47082", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "A. G. Kartsatos", } @Article{Baran:1992:WYS, author = "N. Baran", title = "What you see is what you solve: {Mathematica} [2.0] and {MathCAD} [3.0] for {Windows}. (includes related article on {Maple V}) (Software Review)", journal = j-BYTE, volume = "17", pages = "263--265", month = may, year = "1992", CODEN = "BYTEDJ", ISSN = "0360-5280 (print), 1082-7838 (electronic)", ISSN-L = "0360-5280", bibdate = "Sat Apr 6 16:22:45 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Examines two math processing programs--Mathematica for Windows and MathCAD for Windows. Recommends Mathematica for solving hard-core math problems and MathCAD for setting up computational worksheets or for simple equation solving. A sidebar discusses Maple V from Waterloo Maple Software. Provides a BYTE action summary.", acknowledgement = ack-ble, fjournal = "BYTE Magazine", keywords = "application software and utilities; Computing and communications; mathematical programs; Surveys and Comparisons", } @Article{Bergeron:1992:CGF, author = "Fran{\c{c}}ois Bergeron and Simon Plouffe", title = "Computing the generating function of a series given its first few terms", journal = j-EXP-MATH, volume = "1", number = "4", pages = "307--312", year = "1992", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "05A15 (11B65 11Y16 68Q40)", MRnumber = "95b:05008", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", keywords = "Maple", reviewer = "Christian Krattenthaler", } @Article{Bergeron:1992:SMS, author = "Fran{\c{c}}ois Bergeron and Nantel Bergeron", title = "Symbolic Manipulation for the Study of the Descent Algebra of Finite {Coxeter} Groups", journal = j-J-SYMBOLIC-COMP, volume = "14", number = "2--3", pages = "127--140 (or 127--139??)", month = aug # "--" # sep, year = "1992", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40 (20F55)", MRnumber = "94d:68048", MRreviewer = "Richard M. Thomas", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "LACIM, Quebec Univ., Montreal, Que., Canada", classcodes = "C7310 (Mathematics); C6130 (Data handling techniques); C4210 (Formal logic)", classification = "C4210 (Formal logic); C6130 (Data handling techniques); C7310 (Mathematics)", corpsource = "LACIM, Quebec Univ., Montreal, Que., Canada", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "descent algebra; finite Coxeter; groups; Maple; proofs of theorems; symbol manipulation; symbolic manipulation; theorem proving", thesaurus = "Symbol manipulation; Theorem proving", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Borwein:1992:SSH, author = "J. M. Borwein and P. B. Borwein", title = "Strange series and high precision fraud", journal = j-AMER-MATH-MONTHLY, volume = "99", number = "7", pages = "622--640", year = "1992", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "40-01 (40A05 40A25)", MRnumber = "93f:40001", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", keywords = "Maple", reviewer = "John A. Fridy", } @Article{Carminati:1992:IDE, author = "John Carminati and John S. Devitt and Greg J. Fee", title = "Isogroups of differential equations using algebraic computing", journal = j-J-SYMBOLIC-COMP, volume = "14", number = "1", pages = "103--120", year = "1992", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "35-04 (35A30 35Q99)", MRnumber = "93f:35004", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Maple", } @Book{Char:1992:FLT, author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and Benton Leong and Michael B. Monagan and Stephen M. Watt", title = "First Leaves: a Tutorial Introduction to {Maple V}", publisher = pub-SV, address = pub-SV:adr, pages = "xvii + 253", year = "1992", DOI = "https://doi.org/10.1007/978-1-4615-6996-1", ISBN = "0-387-97621-3, 3-540-97621-3", ISBN-13 = "978-0-387-97621-1, 978-3-540-97621-9", LCCN = "QA155.7.E4 F56 1992", bibdate = "Tue Nov 2 12:30:08 1993", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; http://www.math.utah.edu/pub/tex/bib/texbook2.bib", note = "Also available in Japanese, ISBN 4-431-70651-8", acknowledgement = ack-nhfb, libnote = "Not yet in my library.", tableofcontents = "One: Interactive Use of Maple \\ 1.1: The user interface and the computational engine \\ 1.2: Getting started \\ 1.3: Starting a Maple session: how Maple behaves interactively \\ 1.4: Simple arithmetic in Maple \\ 1.5: Fixing mistakes \\ 1.6: help yourself to more of Maple \\ 1.7: Parentheses and the priority of arithmetic operations \\ 1.8: Ending a Maple session \\ 1.9: Maple variables \\ 1.10: Built-in commands for mathematical computation \\ 1.11: Introducing Maple's mathematical commands \\ 1.12: Using Maple as a numerical calculator \\ 1.13: Graphing and plotting functions on screen and on paper \\ 1.14: More about syntax errors \\ 1.15: You ask too much! (Run-time errors) \\ 1.16: Interrupting a Maple computation \\ 1.17: Printing values: print and lprint \\ 1.18: Defining simple functions in Maple \\ 1.19: Automatic simplification \\ 1.20: Simplifying expressions with simplify \\ 1.21: Maple's commands for calculus \\ 1.22: Computing sums \\ 1.23: Solving recurrence relations with rsolve \\ 1.24: Other commands for solving, and other mathematical functions \\ Two: Less Simple Maple \\ 2.1: A few words to experienced programmers \\ 2.2: Programming variables and mathematical symbols \\ 2.3: More on simplification: specialized simplification commands \\ 2.4: Full and delayed evaluation \\ 2.5: Quotation and unevaluation \\ 2.6: Using quoted variables as function arguments \\ 2.7: Concatenation \\ forming new names from old \\ 2.8: Looking at parts of expressions \\ op, nops, coeff \\ 2.9: Expression sequences, sets, and lists \\ 2.10: Tables and arrays \\ indexed collections of data \\ 2.11: Converting from one structure to another \\ 2.12: The map function: performing the same operation on all elements of a data structure \\ 2.13: Linear algebra in Maple \\ 2.14: alias for changing the names of built-in functions and mathematical symbols \\ 2.15: Saving the state of your Maple session \\ 2.16: Recording results in files in human-readable format \\ 2.17: Access to additional library procedures \\ 2.18: Other formats for output: fortran, latex, and eqn \\ Three: The Maple Programming Language \\ 3.1: Repetition while you wait \\ 3.2: Repetition for each one \\ 3.3: Conditional execution with if-then-else-fi \\ 3.4: break and next: control within for-while loops \\ 3.5: Simple Maple procedures \\ 3.6: Maple procedures \\ multiple statements, local variables, RETURN \\ 3.7: Using error \\ exiting several procedures at once \\ 3.8: Checking types: writing safer programs \\ 3.9: Nested types and structured types \\ 3.10: Remembering function values \\ 3.11: Functional operators \\ 3.12: Packages in Maple \\ 3.13: Your Maple initialization file \\ 3.14: Creating help for your procedures \\ 3.15: Creating your own library \\ 3.16: Creating and debugging Maple programs \\ 3.17: Viewing Maple library source code \\ 3.18: Calling Maple from programs written in other languages \\ Four: Advanced Graphics \\ 4.1: More on plot \\ 4.2: Plotting in three dimensions: graphing surfaces \\ 4.3: Plotting functional expressions with plot and plot3d \\ Five: Measuring and improving performance \\ 5.1: Monitoring time and space consumed during a computation \\ 5.2: Garbage collection and gc \\ 5.3: Querying the state of the system through status \\ 5.4: Profiling the performance of Maple programs \\ 5.5: Using option remember to improve performance \\ 5.6: Faster floating-point computation \\ Six: Advanced Examples \\ 6.1: Introduction \\ 6.2: Balancing chemical reactions \\ 6.3: Maxwell's formula for the velocity of a gas sample \\ 6.4: Critical length of a rod \\ 6.5: Zeros of Bessel functions \\ 6.6: Stock market analysis through linear algebra \\ 6.7: Primitive trinomials \\ 6.8: Computations on the 3n +1 conjecture \\ 6.9: A numerical approximation problem \\ 6.10: Reading more about Maple problem-solving techniques \\ Seven: Global access to Maple information \\ 7.1: New users' problems \\ 7.2: The community of Maple users \\ 7.3: What to do when the answer seems wrong \\ 7.4: Electronic access to user-contributed Maple software \\ 7.5: Maple publications \\ Conclusion \\ A: Bibliography \\ B: Books and articles for Maple users \\ B.1: Some books for Maple users \\ B.2: Some research articles on Maple and its usage", } @Article{Cohen:1992:STM, author = "Jaques Cohen and Aline Weitzman", title = "Software Tools for Micro-analysis of Programs", journal = j-SPE, volume = "22", number = "9", pages = "777--808", month = sep, year = "1992", CODEN = "SPEXBL", ISSN = "0038-0644 (print), 1097-024X (electronic)", ISSN-L = "0038-0644", bibdate = "Sat May 31 13:36:16 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Michtom Sch. of Comput. Sci., Brandeis Univ., Waltham, MA, USA", classification = "C1180 (Optimisation techniques); C6110B (Software engineering techniques); C6115 (Programming support); C6150G (Diagnostic, testing, debugging and evaluating systems); C7310 (Mathematics)", fjournal = "Software---Practice and Experience", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-024X", keywords = "Benchmarking; C-like programs; Compiler-machine configurations; Linear programming; Maple; Pascal; Programs microanalysis; Prolog; Software tools; Symbolic formula manipulation package; Symbolic formulas", thesaurus = "Linear programming; Performance evaluation; Program testing; Program verification; Symbol manipulation", } @Article{Connell:1992:APK, author = "Ian Connell", title = "Addendum to a paper of {K. Harada} and {M.-L. Lang}: {``Some elliptic curves arising from the Leech lattice'' [J. Algebra {\bf 125}, 1989, 2, 298--310, MR 90g:11072]}", journal = j-J-ALGEBRA, volume = "145", number = "2", pages = "463--467", year = "1992", CODEN = "JALGA4", ISSN = "0021-8693 (print), 1090-266x (electronic)", ISSN-L = "0021-8693", MRclass = "11G05 (11F22 11Y16 14H52)", MRnumber = "93d:11057", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Algebra", journal-URL = "http://www.sciencedirect.com/science/journal/00218693", keywords = "Maple", reviewer = "Joseph H. Silverman", } @Article{Corless:1992:NEA, author = "R. M. Corless and D. J. Jeffrey and H. Rasmussen", title = "Numerical evaluation of {Airy} functions with complex arguments", journal = j-J-COMPUT-PHYS, volume = "99", number = "1", pages = "106--114", month = mar, year = "1992", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(92)90279-8", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65D20 (33E30)", MRnumber = "92k:65028", bibdate = "Mon Jan 2 07:55:54 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/0021999192902798", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", keywords = "Maple", } @Book{Cox:1992:IVA, author = "David Cox and John Little and Donala O'Shea", title = "Ideals, varieties, and algorithms: An introduction to computational algebraic geometry and commutative algebra", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 513", year = "1992", ISBN = "0-387-97847-X", ISBN-13 = "978-0-387-97847-5", MRclass = "13P10 (13-01 14-01 14Qxx 68Q40)", MRnumber = "93j:13031", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Undergraduate Texts in Mathematics", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Timothy Stokes", } @Article{Czapor:1992:ACS, author = "S. R. Czapor and R. G. McLenaghan and J. Carminati", title = "The automatic conversion of spinor equations to dyad form in {MAPLE}", journal = j-GEN-RELATIVITY-GRAV, volume = "24", number = "9", pages = "911--928", year = "1992", CODEN = "GRGVA8", ISSN = "0001-7701 (print), 1572-9532 (electronic)", ISSN-L = "0001-7701", MRclass = "83-04 (83C60)", MRnumber = "93f:83001", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "General Relativity and Gravitation", journal-URL = "http://link.springer.com/journal/10714", keywords = "Maple", reviewer = "Garry Ludwig", } @Article{Devlin:1992:CM, author = "Keith Devlin", title = "Computers and Mathematics", journal = j-NAMS, volume = "39", number = "8", pages = "825--843", month = oct, year = "1992", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Experimental Mathematics is the theme of this month's feature article, written by Jonathan and Peter Borwein. This is followed by a number of review articles and a couple of announcements: Paul Abbott compares Maple and Mathematica; J. S. Milne provides an update on some reviews on scientific word processors; Louis Grey looks at the program Numbers; and Tevian Dray reports on the programs 4-dimensional Hypercube and f(z).", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Dietrich:1992:EAC, author = "Volker Dietrich", title = "{ELISE}, an algorithm to compute asymptotic representations for solutions of linear differential equations, realized with the computer algebra system {MAPLE}", journal = j-J-SYMBOLIC-COMP, volume = "14", number = "1", pages = "85--92", year = "1992", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "34-04 (34A20 34E05 65L99)", MRnumber = "93f:34002", bibdate = "Mon Feb 05 08:29:51 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Maple", } @InCollection{Ellingsrud:1992:NTC, author = "Geir Ellingsrud and Stein Arild Str{\o}mme", title = "The number of twisted cubic curves on the general quintic threefold (preliminary version)", crossref = "Yau:1992:EMM", pages = "181--222", year = "1992", MRclass = "14N10 (14C05 14J30)", MRnumber = "94d:14050", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Bruce Hunt", } @Book{Ellis:1992:MVF, author = "Wade {Ellis, Jr.} and others", title = "{Maple V} Flight Manual: Tutorials for Calculus, Linear Algebra, and Differential Equations", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xxi + 183", year = "1992", ISBN = "0-534-17338-1", ISBN-13 = "978-0-534-17338-8", LCCN = "QA155.7.E4 M35 1992", bibdate = "Wed Dec 27 16:39:56 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Erdos:1992:NPP, author = "P. Erd{\H{o}}s and J.-L. Nicolas and A. S{\'a}rk{\"o}zy", title = "On the number of pairs of partitions of $n$ without common subsums", journal = j-COLLOQ-MATH, volume = "63", number = "1", pages = "61--83", year = "1992", CODEN = "CQMAAQ", ISSN = "0010-1354 (print), 1730-6302 (electronic)", ISSN-L = "0010-1354", MRclass = "11P82", MRnumber = "93c:11087", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Colloquium Mathematicum", keywords = "Maple", reviewer = "George E. Andrews", } @Book{Fattahi:1992:MVC, author = "Abi Fattahi", title = "{Maple V} Calculus Labs", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "92 + 3", year = "1992", ISBN = "0-534-19272-6", ISBN-13 = "978-0-534-19272-3", LCCN = "QA155.7.E4 F37 1992", bibdate = "Fri May 28 12:12:01 1993", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", acknowledgement = ack-nhfb, } @Article{Feinsilver:1992:BFR, author = "P. Feinsilver and R. Schott", title = "On {Bessel} functions and rate of convergence of zeros of {Lommel} polynomials", journal = j-MATH-COMPUT, volume = "59", number = "199", pages = "153--156", month = jul, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33C10 (33C45)", MRnumber = "93a:33007", MRreviewer = "Boro D{\"o}ring", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; JSTOR database", acknowledgement = ack-nhfb, affiliation = "Southern Illinois Univ., Carbondale, IL, USA", classcodes = "B0220 (Analysis); B0290P (Differential equations); B0290F (Interpolation and function approximation); B0210 (Algebra); C1120 (Analysis); C4170 (Differential equations); C4130 (Interpolation and function approximation); C1110 (Algebra)", classification = "B0210 (Algebra); B0220 (Analysis); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1110 (Algebra); C1120 (Analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Southern Illinois Univ., Carbondale, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "average case analysis; Average case analysis; Bessel function; Bessel functions; convergence of numerical methods; convergence rate; Convergence rate; data structures; differential equations; dynamic; Dynamic data structures; Lommel; Lommel polynomials; Maple program; polynomials; rate of convergence; Rate of convergence; zeros; Zeros", thesaurus = "Bessel functions; Convergence of numerical methods; Differential equations; Polynomials", treatment = "T Theoretical or Mathematical", } @Article{Garbey:1992:QPW, author = "Marc Garbey and Hans G. Kaper and Gary K. Leaf and Bernard J. Matkowsky", title = "Quasi-periodic waves and the transfer of stability in condensed-phase surface combustion", journal = j-SIAM-J-APPL-MATH, volume = "52", number = "2", pages = "384--395", year = "1992", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "80A25 (35B32)", MRnumber = "93f:80019", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", keywords = "Maple", reviewer = "V. A. Sobolev", } @Article{Geck:1992:UCC, author = "Meinolf Geck and G{\"o}tz Pfeiffer", title = "Unipotent characters of the {Chevalley} groups $ {D}_4 (q) $, $q$ odd", journal = j-MANUSCR-MATH, volume = "76", number = "3-4", pages = "281--304", year = "1992", CODEN = "MSMHB2", ISSN = "0025-2611 (print), 1432-1785 (electronic)", ISSN-L = "0025-2611", MRclass = "20C33 (20C40)", MRnumber = "93j:20035", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Manuscripta Mathematica", keywords = "Maple", reviewer = "Gerhard Hiss", } @Book{Geddes:1992:ACA, author = "Keith O. Geddes and S. R. Czapor and G. Labahn", title = "Algorithms for Computer Algebra", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xviii + 585", year = "1992", ISBN = "0-7923-9259-0", ISBN-13 = "978-0-7923-9259-0", LCCN = "QA155.7.E4 G43 1992", bibdate = "Wed Jun 15 11:42:54 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "{Maple}", } @InProceedings{Geddes:1992:HSI, author = "K. O. Geddes and G. J. Fee", title = "Hybrid symbolic-numeric integration in {MAPLE}", crossref = "Wang:1992:ISS", pages = "36--41", month = "", year = "1992", bibdate = "Mon Sep 30 05:24:55 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "We give an overview of the hybrid symbolic-numeric integrator in MAPLE. The approach used is to recognize the presence of singularities and, when possible, to transform the problem to avoid the singularity. At the base of the hybrid method are numerical integration techniques. We have found that for integrands which are analytic in a 'sufficiently large' region of the complex plane surrounding the interval of integration, the method of choice is Clenshaw--Curtis quadrature. An added advantage of this method is that it can be programmed to detect cases where the Chebyshev series coefficients converge slowly (or diverge), and to give up quickly in such cases. The singularity handling techniques can then be applied. There is a need for a numerical method other than Clenshaw--Curtis quadrature, a method which can deal with end-point singularities and singularities lying 'nearby' in the complex plane. We have found that the double-exponential method performs very well in the presence of several types of singularities, and its performance does not degrade when arbitrarily high precision is demanded. The combination of Clenshaw--Curtis quadrature and the double exponential method support the numerical computation phase which, along with the symbolic analysis techniques for singularity handling, define an automated approach to the symbolic-numeric computation of definite integrals in MAPLE.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", classification = "C6130 (Data handling techniques); C7310 (Mathematics)", keywords = "Chebyshev series coefficients; Clenshaw--Curtis quadrature; Definite integrals; Double-exponential method; End-point singularities; Hybrid symbolic-numeric integration; MAPLE; Numerical integration techniques; Numerical method; Singularity handling; Singularity handling techniques; Symbolic analysis techniques; Symbolic-numeric computation", thesaurus = "Mathematics computing; Symbol manipulation", } @TechReport{Gerbracht:1992:AED, author = "Eberhard H. A. Gerbracht", title = "{Zur Algorithmischen und Exakten Diskussion Elementarer Funktionen}", institution = "Technischen Universit{\"{a}}t Carolo-Wilhelmina zu Braunschweig", address = "Braunschweig, Germany", year = "1992", bibdate = "Sat Dec 30 09:07:23 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, descriptor = "Analysis, Kurvendiskussion, Maple, Computeralgebra", } @Article{Guimaraes:1992:DRT, author = "J. E. F. Guimaraes and G. R. Heppler and S. R. Czapor", title = "On the Derivation and Reduction of {$ C^1 $} Trigonometric Basis Functions Using {Maple}", journal = j-J-SYMBOLIC-COMP, volume = "13", number = "6", pages = "643--676 (or 643--675??)", month = jun, year = "1992", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "65T10", MRnumber = "MR1177713 (93d:65117)", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Syst. Design Eng., Waterloo Univ., Ont., Canada", classcodes = "C7310 (Mathematics); C4185 (Finite element analysis); C1230 (Artificial intelligence)", classification = "C1230 (Artificial intelligence); C4185 (Finite element analysis); C7310 (Mathematics)", corpsource = "Dept. of Syst. Design Eng., Waterloo Univ., Ont., Canada", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "$C^1$ trigonometric basis functions; Canonical simplification; Derivation; Finite element method; Gr{\"o}bner bases; Heuristic methodology; Reduction; Trial function; Waterloo Maple software; finite element analysis; heuristic programming; mathematics; computing; Waterloo Maple software; derivation; reduction; $C^1$; trigonometric basis functions; heuristic methodology; finite; element method; trial function; canonical simplification; Gr{\"o}bner bases", thesaurus = "Finite element analysis; Heuristic programming; Mathematics computing", treatment = "P Practical", } @InProceedings{Gutierrez:1992:PIT, author = "Jaime Gutierrez and Tomas Recio", title = "A practical implementation of two rational function decomposition algorithms", crossref = "Wang:1992:ISS", pages = "152--157", year = "1992", bibdate = "Thu Mar 12 08:39:32 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/143242/p152-gutierrez/", acknowledgement = ack-nhfb, keywords = "algorithms; theory", subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, REDUCE. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf G.1.0} Mathematics of Computing, NUMERICAL ANALYSIS, General. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials.", } @TechReport{Harper:1992:IM, author = "David Harper and Rachid Chalabi", title = "An Introduction to {Maple}", type = "Report", institution = "Computer Algebra Support Project, Astronomy Unit, School of Mathematical Sciences, Queen Mary and Westfield College, University of London", address = "London, E1 4NS", pages = "????", month = nov, year = "1992", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Third edition. Available by anonymous ftp from \verb&maths.qmw.ac.uk& \verb&(138.37.80.15)& in \verb&pub/mapledoc&", } @Book{Harris:1992:DCM, author = "Kent Harris", title = "Discovering Calculus with {Maple}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "192", year = "1992", ISBN = "0-471-55156-2", ISBN-13 = "978-0-471-55156-0", LCCN = "QA303.5.D37 H37 1992", bibdate = "Tue Dec 14 22:55:05 1993", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", abstract = "This substantially illustrated manual describes how to use Maple as an investigative tool to explore calculus concepts numerically, graphically, symbolically and verbally. Every chapter begins with Maple commands employed in the chapter, an introduction to the mathematical concepts being covered, worked examples in Maple worksheet format, followed by thought-provoking exercises and extensive discovery projects to encourage readers to investigate ideas on their own.", acknowledgement = ack-nhfb, libnote = "Not in my library.", tableofcontents = "Getting Started \\ Functions and Limits \\ Differentiation \\ Applications of the Derivative \\ Integration \\ Applications of the Definite Integral \\ Logarithmic and Exponential Functions \\ Inverse Trigonometric and Hyperbolic Functions \\ Integration Exact and Approximate \\ Improper Integrals: Sequences and Infinite Series \\ Analytic Geometry \\ Polar Coordinates and Parametric Equations \\ Vectors and Three Dimensional Space \\ Vector Functions \\ Partial Derivatives \\ Multiple Integrals \\ Topics in Vector Calculus \\ Second-Order Differential Equations \\ References \\ Index", } @Article{Hedman:1992:TAA, author = "Anders Hedman", booktitle = "Advancing Power Transmission Into the 21st Century (Sep 13--16 1992: Scottsdale, AZ, USA)", title = "Transmission analysis: Automatic derivation of relationships", journal = "American Society of Mechanical Engineers, Design Engineering Division (Publication) DE", volume = "43 pt 1", pages = "259--266", year = "1992", CODEN = "AMEDEH", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "A method for derivation of relationships for general mechanical transmission systems is given. The method is adapted for computer-aided analysis and synthesis of the kinematics, loads and power flows. Losses are included. All relationships are handled by a computer program. No manual formulation and elimination of equations are necessary. The user only needs to describe the transmission system: 1. The transmission units, e.g. gear transmissions, planetary gear trains, clutches, input and output shafts. 2. How the shafts of those units are connected. Then, the computer program formulates and arranges the relationships. After that, a commercial program, ``Maple'', performs the algebraic eliminations. Relationships between the speeds and\slash or torques of two arbitrary shafts can be derived, e.g. an algebraic relationship for the overall efficiency. Different power flows are possible in split-power transmissions. Special algorithms handle that. The method is a useful tool. It saves time and eliminates the risk for human errors.", acknowledgement = ack-nhfb, affiliation = "Chalmers Univ of Technology", affiliationaddress = "Goteborg, Swed", classification = "601.2; 602.2; 723.1; 723.5; 921; 931.1", conference = "Proceedings of the 1992 International Power Transmission and Gearing Conference", conferenceyear = "1992", journalabr = "ASME Des Eng Div Publ DE", keywords = "Computer aided analysis; Computer programming; Kinematics; Machine components; Maple computer program; Mathematical models; Mechanical transmission system; Power transmission", meetingabr = "Proc 92 Int Power Transm Gearing Conf", meetingaddress = "Scottsdale, AZ, USA", meetingdate = "Sep 13--16 1992", meetingdate2 = "09/13--16/92", sponsor = "ASME", } @Article{Hiss:1992:BMC, author = "Gerhard Hiss and Josephine Shamash", title = "$2$-blocks and $2$-modular characters of the {Chevalley} groups $ {G}_2 (q) $", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "645--672", year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20C20 (20C33 20C40)", MRnumber = "93a:20020", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Maple", reviewer = "Karin Erdmann", } @Article{Hoshi:1992:PUQ, author = "Mamoru Hoshi and Philippe Flajolet", title = "Page usage in a quadtree index", journal = j-BIT, volume = "32", number = "3", pages = "384--402", year = "1992", CODEN = "BITTEL", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "68P05 (05A16 68Q25)", MRnumber = "94b:68040", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "BIT (Nordisk tidskrift for informationsbehandling)", journal-URL = "http://link.springer.com/journal/10543", keywords = "Maple", reviewer = "E. Rodney Canfield", } @Article{Ioakimidis:1992:DTS, author = "N. I. Ioakimidis and G. T. Anastasselos", title = "Direct {Taylor-series} solution of singular integral equations with {MAPLE}", journal = j-COMP-STRUCTURES, volume = "45", number = "3", pages = "613--617", month = oct, year = "1992", CODEN = "CMSTCJ", ISSN = "0045-7949 (print), 1879-2243 (electronic)", ISSN-L = "0045-7949", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Cauchy-type singular integral equations (SIEs) frequently appear in a variety of elasticity problems and, most often, in crack problems. Here we extend the classical direct numerical methods for the approximate solution of these equations to the semi-analytical\slash numerical (SAN) environment offered by modern computer algebra systems (CAS). The idea is simply to use Taylor-Maclaurin series in the approximate SAN solution and to reduce the problem to a purely numerical set of systems of linear equations. The approach is illustrated in the classical Lobatto-Chebyshev method with an application to the problem of a periodic array of collinear cracks. Extensive displayed SAN results for the stress intensity factors show the convergence and efficiency of the proposed SAN approach. The cases of other direct methods for SIEs are also directly applicable.", acknowledgement = ack-nhfb, affiliation = "Univ of Patras", affiliationaddress = "Patras, Greece", classification = "723.1; 723.5; 921.1; 921.6; 931.1", fjournal = "Computers and Structures", journal-URL = "http://www.sciencedirect.com/science/journal/00457949", journalabr = "Comput Struct", keywords = "Algebra; Approximation theory; Chebyshev approximation; Collinear cracks; Computational methods; Computer algebra systems (cas); Computer applications; Computer software; Convergence of numerical methods; Elasticity; Integral equations; Lobatto Chebyshev method; Semianalytical/numerical (SAN) environment; Singular integral equations (SIES); Stresses; Taylor Maclaurin series", } @Book{Jenks:1992:ASC, author = "Richard D. Jenks and Robert S. Sutor", title = "{AXIOM}: The Scientific Computation System", publisher = pub-SV, address = pub-SV:adr, pages = "xxiv + 742", year = "1992", DOI = "https://doi.org/10.1007/978-1-4612-2940-7", ISBN = "0-387-97855-0 (New York), 3-540-97855-0 (Berlin)", ISBN-13 = "978-0-387-97855-0 (New York), 978-3-540-97855-8 (Berlin)", LCCN = "QA76.95.J46 1992", MRclass = "68Q40 (68-04 68N15)", MRnumber = "95k:68089", MRreviewer = "P. D. F. Ion", bibdate = "Fri Dec 29 18:16:15 1995", bibsource = "/usr/local/src/bib/bibliography/Theory/Comp.Alg.bib; http://www.math.utah.edu/pub/tex/bib/axiom.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", URL = "http://link.springer.com/10.1007/978-1-4612-2940-7", ZMnumber = "0758.68010", abstract = "Recent advances in hardware performance and software technology have made possible a wholly different approach to computational mathematics. Symbolic computation systems have revolutionized the field, building upon established and recent mathematical theory to open new possibilities in virtually every industry. Formerly dubbed Scratchpad, AXIOM is a powerful new symbolic and numerical system developed at the IBM Thomas J. Watson Research Center. AXIOM's scope, structure, and organization make it outstanding among computer algebra systems. AXIOM: The Scientific Computation System is a companion to the AXIOM system. The text is written in a straightforward style and begins with a spirited foreword by David and Gregory Chudnovsky. The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques. Eighty illustrations and eight pages of color inserts accompany text detailing methods used in the 2D and 3D interactive graphics system, and over 2500 example input lines help the reader solve formerly intractable problems.", acknowledgement = ack-nhfb, subject = "Axiom (Computer file); Axiom (Computer file); Mathematics; Data processing; Mathematics; Data processing.; AXIOM (computerprogramma); Mathematics.; Physical Sciences and Mathematics.; Mathematical Theory.", tableofcontents = "Foreword / David V. Chudnovsky and Gregory V. Chudnovsky / vii \\ Contributors Introduction to AXIOM / 1 \\ A Technical Introduction to AXIOM / 9 \\ I Basic Features of AXIOM / 17 \\ 1 An Overview of AXIOM / 19 \\ 1.1 Starting Up and Winding Down / 19 \\ 1.2 Typographic Conventions 2 / 1 \\ 1.3 The AXIOM Language 2 / 2 \\ 1.4 Graphics / 28 \\ 1.5 Numbers / 29 \\ 1.6 Data Structures / 33 \\ 1.7 Expanding to Higher Dimensions / 38 \\ 1.8 Writing Your Own Functions / 39 \\ 1.9 Polynomials / 43 \\ 1.10 Limits / 44 \\ 1.11 Series / 45 \\ 1.12 Derivatives / 47 \\ 1.13 Integration / 49 \\ 1.14 Differential Equations / 52 \\ 1.15 Solution of Equations / 53 \\ 1.16 System Commands / 55 \\ 2 Using Types and Modes / 59 \\ 2.1 The Basic Idea / 59 \\ 2.2 Writing Types and Modes / 66 \\ 2.3 Declarations / 69 \\ 2.4 Records / 71 \\ 2.5 Unions / 73 \\ 2.6 The ``Any'' Domain / 77 \\ 2.7 Conversion / 78 \\ 2.8 Subdomains Again / 80 \\ 2.9 Package Calling and Target Types / 83 \\ 2.10 Resolving Types / 86 \\ 2.11 Exposing Domains and Packages / 87 \\ 2.12 Commands for Snooping / 89 \\ 3 Using HyperDoc / 93 \\ 3.1 Headings / 94 \\ 3.2 Scroll Bars / 94 \\ 3.3 Input Areas / 95 \\ 3.4 Buttons / 96 \\ 3.5 Search Strings / 96 \\ 3.6 Example Pages / 97 \\ 3.7 X Window Resources for HyperDoc / 97 \\ 4 Input Files and Output Styles / 99 \\ 4.1 Input Files / 99 \\ 4.2 The axiom.input File / 100 \\ 4.3 Common Features of Using Output Formats / 101 \\ 4.4 Monospace Two-Dimensional Mathematical Format / 102 \\ 4.5 TeX Format / 103 \\ 4.6 IBM Script Formula Format / 104 \\ 4.7 FORTRAN Format / 104 \\ 5 Introduction to the AXIOM Interactive Language / 109 \\ 5.1 Immediate and Delayed Assignments / 109 \\ 5.2 Blocks 11 / 2 \\ 5.3 if-then-else 11 / 5 \\ 5.4 Loops / 117 \\ 5.5 Creating Lists and Streams with Iterators / 130 \\ 5.6 An Example: Streams of Primes / 132 \\ 6 User-Defined Functions, Macros and Rules / 135 \\ 6.1 Functions vs. Macros / 135 \\ 6.2 Macros / 136 \\ 6.3 Introduction to Functions / 138 \\ 6.4 Declaring the Type of Functions / 140 \\ 6.5 One-Line Functions / 141 \\ 6.6 Declared vs. Undeclared Functions / 142 \\ 6.7 Functions vs. Operations / 143 \\ 6.8 Delayed Assignments vs. Functions with No Arguments / 144 \\ 6.9 How AXIOM Determines What Function to Use / 145 \\ 6.10 Compiling vs. Interpreting / 146 \\ 6.11 Piece-Wise Function Definitions / 148 \\ 6.12 Caching Previously Computed Results / 153 \\ 6.13 Recurrence Relations / 155 \\ 6.14 Making Functions from Objects / 157 \\ 6.15 Functions Defined with Blocks / 159 \\ 6.16 Free and Local Variables / 162 \\ 6.17 Anonymous Functions / 165 \\ 6.18 Example: A Database / 168 \\ 6.19 Example: A Famous Triangle / 170 \\ 6.20 Example: Testing for Palindromes / 171 \\ 6.21 Rules and Pattern Matching / 173 \\ 7 Graphics / 179 \\ 7.1 Two-Dimensional Graphics / 180 \\ 7.2 Three-Dimensional Graphics / 196 \\ II Advanced Problem Solving and Examples / 225 \\ 8 Advanced Problem Solving / 227 \\ 8.1 Numeric Functions / 227 \\ 8.2 Polynomial Factorization / 236 \\ 8.3 Manipulating Symbolic Roots of a Polynomial / 239 \\ 8.4 Computation of Eigenvalues and Eigenvectors / 241 \\ 8.5 Solution of Linear and Polynomial Equations / 244 \\ 8.6 Limits / 249 \\ 8.7 Laplace Transforms 25 / 1 \\ 8.8 Integration / 252 \\ 8.9 Working with Power Series / 255 \\ 8.10 Solution of Differential Equations / 269 \\ 8.11 Finite Fields / 276 \\ 8.12 Primary Decomposition of Ideals / 294 \\ 8.13 Computation of Galois Groups / 296 \\ 8.14 Non-Associative Algebras and Modelling Genetic Laws / 303 \\ 9 Some Examples of Domains and Packages / 309 \\ 9.1 AssociationList / 309 \\ 9.2 BalancedBinaryTree 31 / 1 \\ 9.3 BinaryExpansion / 312 \\ 9.4 BinarySearchTree / 313 \\ 9.5 CardinalNumber / 315 \\ 9.6 CartesianTensor / 317 \\ 9.7 Character / 325 \\ 9.8 CharacterClass / 326 \\ 9.9 CliffordAlgebra / 328 \\ 9.10 Complex / 333 \\ 9.11 ContinuedFraction / 335 \\ 9.12 CycleIndicators / 339 \\ 9.13 DeRhamComplex / 346 \\ 9.14 DecimalExpansion / 350 \\ 9.15 DistributedMultivariatePolynomial / 352 \\ 9.16 EqTable / 353 \\ 9.17 Equation / 354 \\ 9.18 Exit / 355 \\ 9.19 Factored / 356 \\ 9.20 FactoredFunctions2 / 361 \\ 9.21 File / 362 \\ 9.22 FileName / 364 \\ 9.23 FlexibleArray / 366 \\ 9.24 Float / 368 \\ 9.25 Fraction / 373 \\ 9.26 GeneralSparseTable / 375 \\ 9.27 GroebnerFactorizationPackage / 376 \\ 9.28 Heap / 378 \\ 9.29 HexadecimalExpansion / 379 \\ 9.30 Integer / 380 \\ 9.31 IntegerLinearDependence / 385 \\ 9.32 IntegerNumberTheoryFunctions / 387 \\ 9.33 KeyedAccessFile / 390 \\ 9.34 Library / 393 \\ 9.35 LinearOrdinaryDifferentialOperator / 394 \\ 9.36 List / 404 \\ 9.37 MakeFunction / 409 \\ 9.38 MappingPackage / 411 \\ 9.39 Matrix / 414 \\ 9.40 MultiSet / 420 \\ 9.41 MultivariatePolynomial 42 / 1 \\ 9.42 None / 423 \\ 9.43 Octonion / 423 \\ 9.44 OneDimensionalArray / 425 \\ 9.45 Operator / 426 \\ 9.46 OrderlyDifferentialPolynomial / 429 \\ 9.47 PartialFraction / 433 \\ 9.48 Permanent / 436 \\ 9.49 Polynomial / 436 \\ 9.50 Quaternion / 442 \\ 9.51 RadixExpansion / 444 \\ 9.52 RomanNumeral / 446 \\ 9.53 Segment / 447 \\ 9.54 SegmentBinding / 448 \\ 9.55 Set / 449 \\ 9.56 SmallFloat / 452 \\ 9.57 Smalllnteger / 453 \\ 9.58 SparseTable / 455 \\ 9.59 SquareMatrix / 456 \\ 9.60 Stream / 457 \\ 9.61 String / 458 \\ 9.62 StringTable / 462 \\ 9.63 Symbol / 462 \\ 9.64 Table / 465 \\ 9.65 TextFile / 468 \\ 9.66 TwoDimensionalArray / 469 \\ 9.67 UnivariatePolynomial / 472 \\ 9.68 UniversalSegment / 477 \\ 9.69 Vector / 478 \\ 9.70 Void / 480 \\ III Advanced Programming in AXIOM 48 / 1 \\ 10 Interactive Programming / 483 \\ 10.1 Drawing Ribbons Interactively / 483 \\ 10.2 A Ribbon Program / 487 \\ 10.3 Coloring and Positioning Ribbons / 488 \\ 10.4 Points, Lines, and Curves / 489 \\ 10.5 A Bouquet of Arrows / 492 \\ 10.6 Drawing Complex Vector Fields / 493 \\ 10.7 Drawing Complex Functions / 495 \\ 10.8 Functions Producing Functions / 497 \\ 10.9 Automatic Newton Iteration Formulas / 497 \\ 11 Packages / 501 \\ 11.1 Names, Abbreviations, and File Structure / 502 \\ 11.2 Syntax / 503 \\ 11.3 Abstract Datatypes / 504 \\ 11.4 Capsules / 504 \\ 11.5 Input Files vs. Packages / 505 \\ 11.6 Compiling Packages / 506 \\ 11.7 Parameters / 507 \\ 11.8 Conditionals / 509 \\ 11.9 Testing 51 / 1 \\ 11.10 How Packages Work / 512 \\ 12 Categories / 515 \\ 12.1 Definitions / 516 \\ 12.2 Exports / 517 \\ 12.3 Documentation / 518 \\ 12.4 Hierarchies / 519 \\ 12.5 Membership / 519 \\ 12.6 Defaults / 520 \\ 12.7 Axioms 52 / 1 \\ 12.8 Correctness / 522 \\ 12.9 Attributes / 522 \\ 12.10 Parameters / 524 \\ 12.11 Conditionals / 524 \\ 12.12 Anonymous Categories / 525 \\ 13 Domains / 527 \\ 13.1 Domains vs. Packages / 527 \\ 13.2 Definitions / 528 \\ 13.3 Category Assertions / 529 \\ 13.4 A Demo / 530 \\ 13.5 Browse 53 / 1 \\ 13.6 Representation / 532 \\ 13.7 Multiple Representations / 532 \\ 13.8 Add Domain / 533 \\ 13.9 Defaults / 534 \\ 13.10 Origins / 535 \\ 13.11 Short Forms / 535 \\ 13.12 Example 1 : Clifford Algebra / 536 \\ 13.13 Example 2: Building A Query Facility / 537 \\ 14 Browse / 547 \\ 14.1 The Front Page: Searching the Library / 547 \\ 14.2 The Constructor Page / 551 \\ 14.3 Miscellaneous Features of Browse / 562 \\ Appendices / 569 \\ A AXIOM System Commands / 571 \\ A.1 Introduction / 571 \\ A.2 )abbreviation / 572 \\ A.3 )boot / 573 \\ A.4 )cd / 574 \\ A.5 )clear / 574 \\ A.6 )compile / 575 \\ A.7 )display / 577 \\ A.8 )edit / 578 \\ A.9 )fin / 578 \\ A.10 )frame / 579 \\ A.11 )help / 580 \\ A.12 )history / 580 \\ A.13 )lisp / 582 \\ A.14 )load / 583 \\ A.15 )ltrace / 584 \\ A.16 )pquit / 584 \\ A.17 )quit / 585 \\ A.18 )read / 585 \\ A.19 )set / 586 \\ A.20 )show : / 586 \\ A.21 )spool / 587 \\ A.22 )synonym / 587 \\ A.23 )system / 588 \\ A.24 )trace / 589 \\ A.25 )undo / 592 \\ A.26 )what / 592 \\ B Categories / 595 \\ C Domains / 601 \\ D Packages / 619 \\ E Operations / 627 \\ F Programs for AXIOM Images / 691 \\ F.1 images1.input / 691 \\ F.2 images2.input / 692 \\ F.3 images3.input / 692 \\ F.4 images5.input / 692 \\ F.5 images6.input / 693 \\ F.6 images7.input / 694 \\ F.7 images8.input / 694 \\ F.8 conformal.input / 695 \\ F.9 tknot.input / 697 \\ F.10 ntube.input / 697 \\ F.11 dhtri.input / 699 \\ F.12 tetra.input / 700 \\ F.13 antoine.input / 701 \\ F.14 scherk.input / 702 \\ G Glossary / 703 \\ Index / 717", } @InProceedings{Koepf:1992:ADP, author = "Wolfram Koepf", title = "Algorithmic development of power series", crossref = "Calmet:1992:AIS", pages = "195--213", year = "1992", MRclass = "68Q40", MRnumber = "95f:68115", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Koepf:1992:PSC, author = "Wolfram Koepf", title = "Power series in computer algebra", journal = j-J-SYMBOLIC-COMP, volume = "13", number = "6", pages = "581--603", year = "1992", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40", MRnumber = "93j:68087", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Maple", } @Article{Lahtonen:1992:LBM, author = "Jyrki Lahtonen", title = "Lower bounds for the multiplicities of simple composition factors of the induced modules", journal = j-COMMUN-ALGEBRA, volume = "20", number = "7", pages = "1873--1895", year = "1992", CODEN = "COALDM", ISSN = "0092-7872 (print), 1532-4125 (electronic)", ISSN-L = "0092-7872", MRclass = "20G05 (20G10)", MRnumber = "93h:20050", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Algebra", keywords = "Maple", reviewer = "Jia-Chen Ye", } @InProceedings{Lamagna:1992:DUI, author = "Edmund A. Lamagna and Michael B. Hayden and Catherine W. Johnson", title = "The design of a user interface to a computer algebra system for introductory calculus", crossref = "Wang:1992:ISS", pages = "358--368", year = "1992", bibdate = "Thu Mar 12 08:39:32 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/143242/p358-lamagna/", acknowledgement = ack-nhfb, keywords = "algorithms; human factors", subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf H.5.2} Information Systems, INFORMATION INTERFACES AND PRESENTATION, User Interfaces, Interaction styles. {\bf H.5.2} Information Systems, INFORMATION INTERFACES AND PRESENTATION, User Interfaces, Input devices and strategies.", } @InProceedings{Levelt:1992:VWK, author = "A. H. M. Levelt", title = "{Van der Waals}, {Korteweg}, {van Laar}: a {MAPLE} excursion into the thermodynamics of binary mixtures", crossref = "Cohen:1992:CAI", pages = "227--238", year = "1992", bibdate = "Sat May 10 09:36:47 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Madore:1992:RAM, author = "Blair F. Madore", title = "Report on the 10th {Annual Maple Retreat}", journal = j-SIGSAM, volume = "26", number = "3", pages = "7--8", month = sep, year = "1992", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Mon Feb 05 08:30:08 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @Article{Monagan:1992:HIT, author = "Michael B. Monagan", title = "A Heuristic Irreducibility Test for Univariate Polynomials", journal = j-J-SYMBOLIC-COMP, volume = "13", number = "1", pages = "47--58 (or 47--57??)", month = jan, year = "1992", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40", MRnumber = "1 153 634", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", classcodes = "C7310 (Mathematics); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C7310 (Mathematics)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "algorithm; Berlekamp-Hensel; Berlekamp-Hensel algorithm; evaluation; Factoring polynomials; factoring polynomials; Factorization package; factorization package; Heuristic irreducibility test; heuristic irreducibility test; linear algebra; MACSYMA; manipulation; MAPLE; Maple symbolic algebra; Maple symbolic algebra system; mathematics computing; polynomial factorization, MAPLE; polynomials; prime; Prime evaluation; Probabilistic primality test; probabilistic primality test; REDUCE; symbol; system; Univariate polynomials; univariate polynomials", thesaurus = "Linear algebra; Mathematics computing; Polynomials; Symbol manipulation", treatment = "P Practical", } @InProceedings{Mutrie:1992:AFE, author = "Mark P. W. Mutrie and Richard H. Bartels and Bruce W. Char", title = "An approach for floating-point error analysis using computer algebra", crossref = "Wang:1992:ISS", pages = "284--293", year = "1992", bibdate = "Thu Mar 12 08:39:32 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/143242/p284-mutrie/", acknowledgement = ack-nhfb, keywords = "algorithms", subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General. {\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf G.1.0} Mathematics of Computing, NUMERICAL ANALYSIS, General, Computer arithmetic. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf G.2.2} Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Graph algorithms.", } @Article{Okano:1992:NRA, author = "Takeshi Okano", title = "A note on the rational approximations to $e$", journal = j-TOKYO-J-MATH, volume = "15", number = "1", pages = "129--133", year = "1992", ISSN = "0387-3870", MRclass = "11J82 (11Y99)", MRnumber = "93f:11054", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Tokyo journal of mathematics", keywords = "Maple", reviewer = "Richard T. Bumby", } @Article{Peterson:1992:MV, author = "N. C. Peterson", title = "{Maple V}", journal = j-LAB-MICROCOMP, volume = "11", number = "1", pages = "37--38", month = "", year = "1992", CODEN = "LMICDI", ISSN = "0262-2955", bibdate = "Mon Sep 30 05:36:13 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Maple V is the most recent version of a computer math system that has been under continuing development at the University of Waterloo (Ontario), occasionally with the collaboration of others, for more than ten years. Maple V has four main areas of capability: symbolic math, numerical computation, graphics, and programming.", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", fjournal = "Laboratory microcomputer", keywords = "Computer math system; Graphics; Maple V; Numerical computation; Programming; Symbolic math", pubcountry = "UK", thesaurus = "Mathematics computing; Software packages", } @Article{Ray:1992:UIA, author = "Nigel Ray and Colin Wright", title = "Umbral interpolation and the addition/contraction tree for graphs", journal = j-DISCRETE-MATH, volume = "103", number = "1", pages = "67--74", year = "1992", CODEN = "DSMHA4", ISSN = "0012-365X (print), 1872-681X (electronic)", ISSN-L = "0012-365X", MRclass = "05C15 (05A40)", MRnumber = "93g:05054", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Discrete Mathematics", keywords = "Maple", reviewer = "Alessandro Di Bucchianico", } @Book{Resnick:1992:ASP, author = "Sidney I. Resnick", title = "Adventures in Stochastic Processes", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xii + 626", year = "1992", ISBN = "0-8176-3591-2", ISBN-13 = "978-0-8176-3591-6", LCCN = "QA274.R46 1992", bibdate = "Thu Dec 28 12:17:42 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$64.50", URL = "http://www.birkhauser.com/Books/resnick/summary.htm", acknowledgement = ack-nhfb, } @Article{RodriguezAzara:1992:MPG, author = "Jose Luis {Rodriguez Azara}", title = "A {MAPLE} program for the generation of the {Lie-series} solution of systems of non-linear ordinary differential equations", journal = j-COMP-PHYS-COMM, volume = "67", number = "3", pages = "537--542", month = jan, year = "1992", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(92)90058-7", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The Lie series is a power series in which the initial conditions are part of the constant coefficients of the series. This property makes the Lie series appropriate for the study of systems of differential equations that exhibit chaotic behavior and, therefore, are sensitive to initial conditions. We present the theory behind the Lie series, a MAPLE program capable of handling single as well as systems of ODE's, several examples of the application of the program to linear and non-linear problems, and a discussion of the application to chaotic systems.", acknowledgement = ack-nhfb, affiliation = "Embry Riddle Aeronautical Univ", affiliationaddress = "Daytona Beach, FL, USA", classification = "723; 921; 931", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "Chaos Theory; Chaotic Systems; Computer Programs --- Applications; Differential Equations; Lie Series; Maple Programming Language; Mathematical Techniques; Ordinary Differential Equations (ode)", } @InProceedings{Scott:1992:SAM, author = "T. C. Scott and M. B. Monagan and G. J. Fee and R. M. Corless", title = "Some applications of {Maple} to mathematical, scientific and engineering problems", crossref = "Houstis:1992:AIE", pages = "165--176", month = "", year = "1992", bibdate = "Mon Sep 30 05:31:18 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The authors survey some applications of Maple where it has proved useful as a problem-solving tool. The application areas include relativity, quantum theory, audio engineering, number theory and asbestos fiber analysis. They should give the reader some idea of the potential capabilities and versatility of the Maple system. Most of the applications presented here include new approaches at the forefront of research. For the reader new to the field of symbolic computation, the authors show how the symbolic computation tools available in Maple have provided new possibilities in various fields of research.", acknowledgement = ack-nhfb, affiliation = "Inst. for Theor. Atomic and Molecular Phys., Harvard-Smithsonian Center for Astrophys., Cambridge, MA, USA", classification = "C1230 (Artificial intelligence); C7310 (Mathematics); C7320 (Physics and Chemistry); C7400 (Engineering)", keywords = "Asbestos fiber analysis; Audio engineering; Engineering problems; Mathematical problems; Number theory; Problem-solving tool; Quantum theory; Relativity; Scientific problems; Symbolic computation", thesaurus = "Engineering computing; Mathematics computing; Physics computing; Problem solving; Symbol manipulation", } @Article{Seidel:1992:NAT, author = "H.-P. Seidel", title = "New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree", journal = j-MATH-MODEL-NUM-ANA, volume = "26", number = "1", pages = "149--176", year = "1992", CODEN = "RMMAEV", ISSN = "0764-583X (print), 1290-3841 (electronic)", ISSN-L = "0764-583X", MRclass = "65D07 (65D17)", MRnumber = "92m:65022", bibdate = "Mon May 11 12:18:10 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Topics in computer aided geometric design (Erice, 1990). RAIRO Mod{\'e}l.", acknowledgement = ack-nhfb, fjournal = "Mathematical modelling and numerical analysis = Modelisation math{\'e}matique et analyse num{\'e}rique: $M^2AN$", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=MZA", keywords = "Maple", } @Article{Simon:1992:SMS, author = "Barry Simon", title = "Symbolic Math Software: It's Not Just for Mainframes Anymore", journal = j-PC-MAGAZINE, volume = "11", number = "14", pages = "405--??", month = aug, year = "1992", CODEN = "PCMGEP", ISSN = "0888-8507 (print), 1078-8085 (electronic)", ISSN-L = "0888-8507", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "A comparative look at today's leading mathematical software reveals that now, more than ever before, PC-based mathematical problem solving stands poised to strike that delicate balance between raw computational power and carefully crafted interface. Derive: A Mathematical Assistant, Version 2.1, Maple V, Version 1.1, Mathematica for DOS, Version 2.0, Mathematica for Windows, Version 2.0, Reduce, Version 3.4.", acknowledgement = ack-nhfb, fjournal = "PC Magazine", } @Article{Tari:1992:RSF, author = "Farid Tari", title = "Recognition of {$ {\cal K} $}-singularities of functions", journal = j-EXP-MATH, volume = "1", number = "3", pages = "225--229", year = "1992", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "32S05 (32-04 58C27)", MRnumber = "94a:32053", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", keywords = "Maple", reviewer = "Piotr Jaworski", } @Article{Vinette:1992:QSD, author = "F. Vinette", title = "Quasispin symmetry for the derivation of coupled cluster equations for the {Hubbard} model of benzene", journal = j-IJQC, volume = "42", number = "6", pages = "1737--1746", day = "20", month = jun, year = "1992", CODEN = "IJQCB2", DOI = "https://doi.org/10.1002/qua.560420611", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Tue Oct 4 06:58:37 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/ijqc1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. and Stat., York Univ., North York, Ont., Canada", ajournal = "Int. J. Quantum Chem.", classification = "A3120P (Other semi-empirical calculations (Huckel, generalized Huckel, PPP methods, etc.))", fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "Benzene; CI matrix; Coupled cluster equations; Explicit algebraic form; Hubbard model; MAPLE; Molecule; Pariser--Parr--Pople model; Quasispin symmetry; Symbolic computation language; Triexcited clusters", onlinedate = "19 Oct 2004", thesaurus = "Hubbard model; Organic compounds; PPP calculations", } @Article{Wang:1992:MAN, author = "S. Wang and K. Huseyin", title = "``{Maple}'' analysis of nonlinear oscillations", journal = j-MATH-COMP-MODELLING, volume = "16", number = "11", pages = "49--57", month = nov, year = "1992", CODEN = "MCMOEG", ISSN = "0895-7177 (print), 1872-9479 (electronic)", ISSN-L = "0895-7177", MRclass = "65-04 (65L99)", MRnumber = "MR1189284 (93g:65007)", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This paper describes the application of a symbolic manipulation computer language, namely MAPLE, to the analysis of the oscillatory behavior of nonlinear dynamical system. The method combines a perturbation scheme with MAPLE to obtain an ordered sequence of consistent approximations. Two separate programs, for autonomous and nonautonomous systems have been developed. Three illustrative examples are presented.", acknowledgement = ack-nhfb, affiliation = "Dept. of Syst. Design Eng., Waterloo Univ., Ont., Canada", classification = "C4150 (Nonlinear and functional equations); C7310 (Mathematics)", fjournal = "Mathematical and Computer Modelling", keywords = "Autonomous systems; Consistent approximations; MAPLE; Nonautonomous systems; Nonlinear dynamical system; Nonlinear oscillations; Ordered sequence; Perturbation scheme; Symbolic manipulation computer language", pubcountry = "UK", thesaurus = "Complete computer programs; Nonlinear systems; Oscillations; Symbol manipulation", } @Article{Wang:1992:UMS, author = "R. Wang and P. Woo and M. K. Kwong", title = "Using {Maple} for Symbolic Computations in Robotics", journal = j-INT-J-ROBOTICS-AUTOMATION, volume = "7", number = "2", pages = "41--49", year = "1992", CODEN = "IJAUED", ISSN = "0826-8185 (print), 1925-7090 (electronic)", ISSN-L = "0826-8185", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Programs are presented for generating forward kinematics, Jacobians, and dynamic equations of robotic manipulators in symbolic closed forms by using the algebraic manipulation software MAPLE. Examples are given, and the efficiency of these computations is discussed.", acknowledgement = ack-nhfb, affiliation = "Dept. of Electr. Eng., Northern Illinois Univ., Dekalb, IL, USA", classification = "C1310 (Analysis and synthesis methods); C3390 (Robotics); C7420D (Control system design and analysis)", fjournal = "International Journal of Robotics and Automation", keywords = "Algebraic manipulation software; Control system analysis computing; Dynamic equations; Forward kinematics; Jacobians; Manipulators; MAPLE 1.4; Robotics; Symbolic closed forms; Symbolic computations", thesaurus = "Control system analysis computing; Dynamics; Kinematics; Robots; Symbol manipulation", } @Article{Wu:1992:CCD, author = "Xian Wu", title = "{Chern} classes and degenerations of hypersurfaces and their lines", journal = j-DUKE-MATH-J, volume = "67", number = "3", pages = "633--652", year = "1992", CODEN = "DUMJAO", ISSN = "0012-7094 (print), 1547-7398 (electronic)", ISSN-L = "0012-7094", MRclass = "14C15 (14C21 14M15)", MRnumber = "93m:14004", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Duke Mathematical Journal", journal-URL = "http://projecteuclid.org/info/euclid.dmj", keywords = "Maple", reviewer = "Mircea Becheanu", } @InProceedings{Ye:1992:SLI, author = "Honglin Ye and R. M. Corless", title = "Solving linear integral equations in {Maple}", crossref = "Wang:1992:ISS", pages = "95--102", month = "", year = "1992", bibdate = "Mon Sep 30 05:24:55 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This article describes a Maple procedure for solving linear integral equations, implementing the Neumann series method, the Laplace transform method, the differentiation method, and the separating kernel method for Fredholm and Volterra equations of the first, second, and third kinds. Strategies for classification of the equations and the choice of the solution method are built-in. The procedure is designed to be automatic and general-purpose. The procedure is efficient and reliable.", acknowledgement = ack-nhfb, affiliation = "Dept. of Appl. Math., Univ. of Western Ontario, London, Ont., Canada", classification = "C4160 (Numerical integration and differentiation); C4180 (Integral equations); C7310 (Mathematics)", keywords = "Classification; Differentiation method; Fredholm equations; Laplace transform; Linear integral equations; Maple; Neumann series method; Separating kernel method; Volterra equations", thesaurus = "Differentiation; Integral equations; Laplace transforms; Series [mathematics]; Symbol manipulation", } @Article{Zeilberger:1992:PJW, author = "Doron Zeilberger", title = "A proof of {Julian West}'s conjecture that the number of two-stack-sortable permutations of length $n$ is $ 2 (3 n)! / ((n + 1)!(2 n + 1)!) $", journal = j-DISCRETE-MATH, volume = "102", number = "1", pages = "85--93", year = "1992", CODEN = "DSMHA4", ISSN = "0012-365X (print), 1872-681X (electronic)", ISSN-L = "0012-365X", MRclass = "05A15 (05A05)", MRnumber = "93c:05011", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Discrete Mathematics", keywords = "Maple", } @InProceedings{Abe:1993:IQM, author = "Y. Abe", title = "Introductory Quantum Mechanics Using {Maple V}", crossref = "Lee:1993:MCM", pages = "3--19", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Article{Barkatou:1993:ACC, author = "M. A. Barkatou", title = "An algorithm for computing a companion block diagonal form for a system of linear differential equations", journal = j-APPL-ALGEBRA-ENG-COMMUN-COMPUT, volume = "4", number = "3", pages = "185--195", year = "1993", CODEN = "AAECEW", ISSN = "0938-1279 (print), 1432-0622 (electronic)", ISSN-L = "0938-1279", MRclass = "34A46 (34-04 34A30 68Q40)", MRnumber = "94g:34016", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Applicable algebra in engineering, communication and computing", keywords = "Maple", reviewer = "Ian Gladwell", } @InProceedings{Bauldry:1993:TVS, author = "W. C. Bauldry and J. L. Hebert", title = "Truncation and Variance in Scale Mixtures", crossref = "Lee:1993:MCM", pages = "67--76", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Article{Beneke:1993:CSP, author = "T. W. Beneke and S. Fingerling and W. W. Schwippert", title = "Computer software packages `{Maple}', `{Mathcad}' and `{Mathematica}' compared", journal = j-ELECTRONIK, volume = "42", number = "13", pages = "50, 63--68", month = jun, year = "1993", CODEN = "EKRKAR", ISSN = "0013-5658", bibdate = "Mon Sep 30 05:31:18 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Conducts applications tests on three types of maths packages for personal computers. Their use in the 'Windows' environment is noted and 'Windows' screens showing problem setup and graphical outputs are included. The use of 'Postscript' aids to visualisation is explained. Information is given on the 'Maple V' Release 2 Windows-based mathematics program.", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", fjournal = "Elektronik", keywords = "Graphical outputs; Maple; Mathcad; Maths packages; Postscript; Problem setup; Software packages; Visualisation; Windows environment", language = "German", pubcountry = "Germany", thesaurus = "Graphical user interfaces; Mathematics computing; Software packages", } @Article{Bentley:1993:TDI, author = "Jon L. Bentley and Mary F. Fernandez and Brian W. Kernighan and Norman L. Schryer", title = "Template-Driven Interfaces for Numerical Subroutines", journal = j-TOMS, volume = "19", number = "3", pages = "265--287", month = sep, year = "1993", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/155743.155757", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org/pubs/citations/journals/toms/1993-19-3/p265-bentley/", abstract = "This paper describes a set of interfaces for numerical subroutines. Typing a short (often one-line) description allows one to solve problems in application domains including least-squares data fitting, differential equations, minimization, root finding, and integration. Our approach of ``template-driven programming'' makes it easy to build such an interface: a simple one takes a few hours to construct, while a few days suffice to build the most complex program we describe.", acknowledgement = ack-nhfb, affiliation = "AT\&T Bell Lab", affiliationaddress = "Murray Hill, NJ, USA", classification = "723.1; 723.1.1; 921.2; 921.6", fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://portal.acm.org/toc.cfm?idx=J782", journalabr = "ACM Trans Math Software", keywords = "Awk; awk; Computational methods; Computer programming; Computer software; Data structures; design; Differential equations; experimentation; Fortran; fortran (programming language); Interfaces (computer); languages; Least squares approximations; Maple; Numerical subroutines; Software engineering; Software reuse; Subroutines; Template driven programming; UNIX; UNIX shell", subject = "D.2.2 [Software Engineering]: Tools and Techniques -- software libraries; user interfaces; D.3.4 [Programming Languages]: Processors -- preprocessors; G.1.0 [Numerical Analysis]: General -- numerical algorithms", } @Article{Bergeron:1993:SMU, author = "Fran{\c{c}}ois Bergeron", title = "Surprising mathematics using a computer algebra system", journal = j-J-SYMBOLIC-COMP, volume = "15", number = "3", pages = "365--370", year = "1993", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "20C40 (68Q40)", MRnumber = "94j:20010", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Maple", reviewer = "Gerhard Hiss", } @Article{Boyd:1993:CLS, author = "John P. Boyd", title = "{Chebyshev} and {Legendre} Spectral Methods in Algebraic Manipulation Languages", journal = j-J-SYMBOLIC-COMP, volume = "16", number = "4", pages = "377--399", month = oct, year = "1993", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40 (65M60)", MRnumber = "94k:68094", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C7310 (Mathematics); C4130 (Interpolation and function approximation); C6130 (Data handling techniques)", classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C6130 (Data handling techniques); C7310 (Mathematics)", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "algebraic manipulation languages; Algebraic manipulation languages; bifurcations; Bifurcations; Chebyshev; Chebyshev approximation; Chebyshev polynomials; collocation methods; Collocation methods; eigenproblem; Eigenproblem; eigenvalues and eigenfunctions; Fourier series; Galerkin methods; Legendre spectral methods; Maple; mathematics computing; nonlinear diffusion; Nonlinear diffusion; polynomial; Polynomial; polynomials; REDUCE; series (mathematics); symbol manipulation; trigonometric manipulations; Trigonometric manipulations", thesaurus = "Chebyshev approximation; Eigenvalues and eigenfunctions; Mathematics computing; Polynomials; Series [mathematics]; Symbol manipulation", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Brackx:1993:CPK, author = "F. Brackx and N. {Van Acker}", title = "A conjugate {Poisson} kernel in {Euclidean} space", journal = j-SIMON-STEVIN, volume = "67", number = "1-2", pages = "3--14", year = "1993", CODEN = "SSWNAX", ISSN = "0037-5454", MRclass = "30G35 (31B05)", MRnumber = "95a:30038", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Simon Stevin", keywords = "Maple", reviewer = "Wolfgang Spr{\"o}ssig", } @MastersThesis{Brandt:1993:DAP, author = "Jeffrey Martin Brandt", title = "The design and analysis of power electronics circuits using the {MAPLE} programming language", type = "Thesis (M.S.E.E.)", school = "University of Kentucky", address = "Lexington, KY, USA", pages = "ix + 119", year = "1993", bibdate = "Thu Dec 28 11:41:08 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Bronstein:1993:FPF, author = "Manuel Bronstein and Bruno Salvy", title = "Full Partial Fraction Decomposition of Rational Functions", crossref = "Bronstein:1993:IPI", pages = "157--160", year = "1993", bibdate = "Thu Mar 12 08:40:26 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/164081/p157-bronstein/", abstract = "We describe a rational algorithm that computes the full partial fraction expansion of a rational function over the algebraic closure of its field of definition. The algorithm uses only gcd operations over the initial field but the resulting decomposition is expressed with linear denominators. We give examples from its Axiom and Maple implementations.", acknowledgement = ack-nhfb, affiliation = "Wissenschaftliches Rechnen, Eidgenossische Tech. Hochschule, Zurich, Switzerland", classification = "B0290D (Functional analysis); B0290H (Linear algebra); B0290M (Numerical integration and differentiation); C4120 (Functional analysis); C4140 (Linear algebra); C4160 (Numerical integration and differentiation); C7310 (Mathematics computing)", keywords = "ACM; Algebraic closure; algebraic computation; Axiom; Decomposition; Full partial fraction decomposition; Gcd operations; Maple; Polynomial; Rational functions; SIGSAM; symbolic computation; Symbolic integration, ISSAC; theory; verification", subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General. {\bf G.1.0} Mathematics of Computing, NUMERICAL ANALYSIS, General. {\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms.", thesaurus = "Function evaluation; Integration; Matrix decomposition; Polynomial matrices; Symbol manipulation", } @Book{Burbulla:1993:STC, author = "Dietrich C. M. Burbulla and C. T. J. Dodson", title = "Self-tutor for Computer Calculus using {Maple}", publisher = pub-PHC, address = pub-PHC:adr, pages = "xiv + 292", year = "1993", ISBN = "0-13-063926-5", ISBN-13 = "978-0-13-063926-4", LCCN = "????", bibdate = "Thu Jul 07 18:12:51 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Capolsini:1993:UMM, author = "P. Capolsini", title = "The Use of {Maple} for Multibody Systems Modeling and Simulation", crossref = "Lee:1993:MCM", pages = "109--117", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @InProceedings{Carr:1993:SAN, author = "S. Carr and G. J. Savage", title = "Sensitivity Analysis of Nonlinear Physical Systems Using {Maple}", crossref = "Lee:1993:MCM", pages = "118--127", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Article{Chiricota:1993:CEM, author = "Yves Chiricota", title = "Classification des esp{\`e}ces mol{\'e}culaires de degr{\'e} $6$ et $7$ ({French}) [{Classification} of molecular species of degrees $6$ and $7$ ]", journal = j-ANN-SCI-MATH-QUEBEC, volume = "17", number = "1", pages = "11--37", year = "1993", ISSN = "0707-9109", MRclass = "05E20", MRnumber = "94i:05110", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Les Annales des sciences math{\'e}matiques du Qu{\'e}bec", keywords = "Maple", language = "French", reviewer = "Jian Yi Shi", } @Article{Chiricota:1993:RSE, author = "Yves Chiricota", title = "Repr{\'e}sentation symbolique d'esp{\`e}ces mol{\'e}culaires. ({French}) [{Symbolic} representation of molecular species]", journal = j-THEOR-COMP-SCI, volume = "117", number = "1--2", pages = "131--136", day = "30", month = aug, year = "1993", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", MRclass = "68Q40", MRnumber = "94e:68086", bibdate = "Mon Jul 19 22:17:30 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1993&volume=117&issue=1-2; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Conference on Formal Power Series and Algebraic Combinatorics (Bordeaux, 1991)", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1993&volume=117&issue=1-2&aid=1416", acknowledgement = ack-nhfb, classification = "C6115 (Programming support); C6120 (File organisation); C7310 (Mathematics)", conflocation = "Bordeaux, France; 2-5 May 1991", conftitle = "Conference on Formal Power Series and Algebraic Combinatorics", corpsource = "Dept. de Math. et D'Inf., Quebec Univ., Montreal, Que., Canada", fjournal = "Theoretical Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/03043975", keywords = "combinatorial structures; data structures; lateral classes; Maple; molecular types; programming environments; symbol manipulation; symbolic programming environment; symbolic representation", language = "French", pubcountry = "Netherlands", treatment = "P Practical", } @InProceedings{Cizek:1993:USL, author = "J. Cizek and F. Vinette and E. J. Weniger", title = "On the Use of the Symbolic Language {Maple} in Physics and Chemistry: Several Examples", crossref = "deGroot:1993:PCP", pages = "31--44", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Connell:1993:EIA, author = "Amanda E. Connell and Robert. M. Corless", title = "An Experimental Interval Arithmetic Package in {Maple}", journal = j-INTERVAL-COMP, volume = "2", pages = "120--134", year = "1993", ISSN = "0135-4868", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/surv.ode.bib.gz; ftp://ftp.ira.uka.de/pub/bibliography/Misc/RC.bib.gz; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", fjournal = "Interval Computations = Interval'nye vychisleniia", page = "120--134", } @InProceedings{Connolly:1993:FTC, author = "T. H. Connolly and F. Pfeiffer", title = "Feedforward Torque Computations with the Aid of {Maple V}", crossref = "Angeles:1993:CKP", pages = "109--118", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Davenport:1993:CAS, author = "J. H. Davenport and Y. Siret and E. Tournier", title = "Computer algebra: Systems and algorithms for algebraic computation", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, edition = "Second", pages = "xx + 298", year = "1993", ISBN = "0-12-204232-8", ISBN-13 = "978-0-12-204232-4", LCCN = "QA155.7.E4 D38 1993", MRclass = "68Q40 (12Y05 13P10 68-02)", MRnumber = "95e:68097", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "With a preface by Daniel Lazard. Translated from the French by A. Davenport and J. H. Davenport. With a foreword by Anthony C. Hearn", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Nigel B. Backhouse", } @Article{Decoste:1993:SIS, author = "H{\'e}l{\`e}ne D{\'e}coste", title = "{S}{\'e}ries indicatrices et $q$-s{\'e}ries. ({French}) [{Indicator} series and $q$-series]", journal = j-THEOR-COMP-SCI, volume = "117", number = "1--2", pages = "169--186", day = "30", month = aug, year = "1993", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", MRclass = "33D15 (05A30 68Q40)", MRnumber = "95b:33046", bibdate = "Mon Jul 19 22:17:30 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1993&volume=117&issue=1-2; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Conference on Formal Power Series and Algebraic Combinatorics (Bordeaux, 1991)", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1993&volume=117&issue=1-2&aid=1419", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", conflocation = "Bordeaux, France; 2-5 May 1991", conftitle = "Conference on Formal Power Series and Algebraic Combinatorics", corpsource = "Dept. de Math. et Inf., Quebec Univ., Montreal, Que., Canada", fjournal = "Theoretical Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/03043975", keywords = "combinatorial structures; exponential function; indicatrix series; Maple; q-analogues; q-series; series (mathematics)", language = "French", pubcountry = "Netherlands", reviewer = "Jiang Zeng", treatment = "T Theoretical or Mathematical", } @Article{deJager:1993:USC, author = "Bram {de Jager}", title = "Use of symbolic computation in nonlinear control: Is it viable?", journal = j-PROC-IEEE-CONF-DECISION-CONTROL, volume = "1", pages = "276--281", year = "1993", CODEN = "PCDCDZ", ISSN = "0191-2216", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "To aid in the analysis and design of nonlinear control systems the NONqqCON package, an acronym for Nonlinear Control, has been developed. This paper addresses the usefulness of the NONqqCON package as a self contained tool in the symbolic analysis and design of nonlinear control systems, as a replacement and\slash or complement for numerical tools, and as a substitute for analytical (paper and pencil) work. The symbolic computation program MAPLE is used as a computing substrate for NONqqCON. To assess the viability of this tool, several algorithms available for analysis and design are implemented in NONqqCON, and applied to examples of textbook problems with published solutions and also to a larger scale problem. The examples in the paper address the following symbolic computational areas for nonlinear dynamic systems: (1) the normal form, (2) the zero dynamics, (3) the input-output exact linearizing state-feedback, (4) the state space exact linearizing state-feedback, including the search for output functions that give the system a full or maximal order relative degree. The systems are not required to have a well defined relative degree. The textbook problems show that the NONqqCON package can be successfully used. The larger scale problem is, however, too complex to be solved with the current versions of NONqqCON and MAPLE. Some recommendations to improve the implementation and to make MAPLE more suitable for use with NONqqCON are given. The conclusion is that symbolic computation is a viable approach for straightforward textbook problems, but not grown up enough to tackle larger problems. However, we envision substantial future progress.", acknowledgement = ack-nhfb, affiliation = "Eindhoven Univ of Technology", affiliationaddress = "Eindhoven, Neth", classification = "723.1; 731.1; 921.6", conference = "Proceedings of the 32nd Conference on Decision and Control", fjournal = "Proceedings of the IEEE Conference on Decision and Control", journalabr = "Proc IEEE Conf Decis Control", keywords = "Algorithms; Codes (symbols); Computational methods; Computer software; Control system analysis; Control system synthesis; Input output exact linearization; Linearization; Mathematical models; Nonlinear control systems; Software package Maple; Software package non con; State space exact linearization; State space methods; Zero dynamics", meetingaddress = "San Antonio, TX, USA", meetingdate = "Dec 15 1993", meetingdate2 = "12/15/93", } @Book{Devitt:1993:CMV, author = "John S. Devitt", title = "Calculus with {Maple V}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xxii + 502", year = "1993", ISBN = "0-534-16362-9", ISBN-13 = "978-0-534-16362-4", LCCN = "QA303.5.D37 D48 1993", bibdate = "Tue Dec 14 22:47:21 1993", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", acknowledgement = ack-nhfb, libnote = "Not yet in my library.", tableofcontents = "1 The Basics and Interactive Computing / 1 \\ 1.1 Introduction / 1 \\ 1.1.1 Some Pointers to Better User-Machine Communication \\ 1.1.2 A Sample Session / 3 \\ 1.1.3 Basic Objectives / 6 \\ 1.1.4 Expressions and Equations / 6 \\ 1.1.5 Graphical Representations / 9 \\ 1.2 Plotting as an Aid to Understanding Inequalities / 12 \\ 1.2.1 More on Inequalities / 15 \\ 1.2.2 Type 1 Inequalities / 15 \\ 1.2.3 Type 2 Inequalities / 20 \\ 1.3 Equations Involving Two Variables / 22 \\ 1.3.1 Equations of Straight Lines / 23 \\ 1.3.2 Distances Between Points / 26 \\ 1.3.3 Solving an Algebraic Equation Step by Step / 27 \\ 1.3.4 Quadratic Equations and Their Graphs / 29 \\ 1.3.5 Solving a Quadratic / 30 \\ 1.3.6 Equations Involving $x^2$ and $y^2$ / 31 \\ 1.4 Functions / 36 \\ 1.4.1 Defining a Function / 36 \\ 1.4.2 Using Functions / 37 \\ 1.4.3 Restricted Domains / 39 \\ 1.4.4 Finding Domains of Functions / 40 \\ 1.4.5 Absolute Values / 42 \\ 1.4.6 Step Functions / 43 \\ 1.4.7 Even Functions / 44 \\ 1.4.8 Odd functions / 44 \\ 1.4.9 Constant Functions / 45 \\ 1.5 New Functions from Old / 45 \\ 1.5.1 Arithmetic Operations / 46 \\ 1.5.2 Composition of Functions / 46 \\ Exercise Set 1 / 48 \\ 2 Limits / 57 \\ / 98 \\ 2.1 Introduction / 57 \\ 2.2 Limit Computations in Maple / 61 \\ 2.3 Some Limit Computations / 62 \\ 2.3.1 Ratios of Polynomials / 62 \\ 2.3.2 Obscure Common Factors / 66 \\ 2.3.3 Limits That Are Bounded but Do Not Exist / 69 \\ 2.3.4 Unbounded Functions / 69 \\ 2.4 A Formal Definition of a Limit / 70 \\ 2.4.1 Computing $\delta$ / 71 \\ 2.5 Properties of Limits / 77 \\ 2.6 The Squeeze Theorem / 81 \\ 2.7 Continuity / 83 \\ 2.7.1 One-Sided Limits / 85 \\ 2.7.2 Combining Continuous Functions / 88 \\ 2.8 The Intermediate Value Theorem / 89 \\ 2.9 Exact Computations Versus Approximations / 92 \\ Exercise Set 2 / 93 \\ 3 Derivatives \\ 3.1 Introduction / 98 \\ 3.1.1 Interpretations of the Derivative / 101 \\ 3.1.2 Leibnitz Notation / 110 \\ 3.2 Differentials / 112 \\ 3.3 Differentiation Formulas / 114 \\ 3.3.1 Some Fundamental Examples / 115 \\ 3.3.2 Constants / 116 \\ 3.3.3 Pure Powers / 117 \\ 3.3.4 Laws for Addition and Multiplication / 122 \\ 3.3.5 Derivatives of $ 1 / g(x)$ / 126 \\ 3.3.6 Summary / 128 \\ 3.4 Expressions versus Functions / 130 \\ 3.5 Trigonometric Functions / 131 \\ 3.5.1 Limits of Trigonometric Functions / 131 \\ 3.5.2 Derivatives of Trigonometric Functions / 135 \\ 3.6 The Chain Rule / 137 \\ 3.6.1 Compositions Involving More Than Two Functions / 146 \\ 3.6.2 Summary / 147 \\ 3.7 Derivatives of Exponentials and Logarithms / 148 \\ 3.7.1 Logarithms as Inverse Exponential Functions / 150 \\ 3.8 Implicit Derivatives / 152 \\ 3.8.1 Treating x and y as Functions oft / 156 \\ 3.8.2 Related Rates / 158 \\ 3.9 A Derivation of Newton's Formula / 163 \\ Exercise Set 3 / 167 \\ 4 Optimal Solutions and Extreme Values / 173 \\ / 227 \\ 4.1 Maximums and Minimums / 173 \\ 4.1.1 Optimizations in Maple / 179 \\ 4.1.2 Local Maximums and Minimums / 179 \\ 4.1.3 The Extreme Value Theorem / 187 \\ 4.1.4 Summary / 188 \\ 4.2 The Mean Value Theorem / 188 \\ 4.2.1 The Average Slope / 190 \\ 4.3 Monotonic Functions / 197 \\ 4.3.1 The First Derivative Test / 198 \\ 4.4 Concavity and Points of Inflection / 202 \\ 4.5 Asymptotes / 209 \\ 4.6 Applied Maximum and Minimum Problems \\ Exercise Set 4 / 223 \\ 5 Integration \\ 5.1 Introduction / 227 \\ 5.2 Summations / 228 \\ 5.2.1 Summations and Area Under a Curve / 231 \\ 5.2.2 Rules for Combining Sums / 232 \\ 5.2.3 Formulas for Specific Sums / 234 \\ 5.2.4 Discovering Formulas / 235 \\ 5.3 Area / 239 \\ 5.3.1 An Underestimate of the Area / 239 \\ 5.3.2 An Overestimate of the Area / 242 \\ 5.3.3 Better Estimates / 243 \\ 5.4 The Definite Integral / 245 \\ 5.4.1 Curves Above the Axis / 246 \\ 5.4.2 Curves Below the Axis / 247 \\ 5.4.3 Curves That Cross the Axis / 249 \\ 5.5 Shortcuts in Computation / 250 \\ 5.5.1 The Basic Manipulations / 250 \\ 5.5.2 Order Relationships / 254 \\ 5.6 The Fundamental Theorem of Calculus / 260 \\ 5.6.1 Indefinite Integrals / 265 \\ 5.7 Applications of the Fundamental Theorem / 268 \\ Exercise Set 5 / 273 \\ 6 Applications of Integration / 278 \\ / 313 \\ 6.1 Areas Between Curves / 278 \\ 6.2 Volume / 285 \\ 6.3 Solids of Revolution / 288 \\ 6.4 Generalized Cross Sections / 294 \\ 6.5 Cylindrical Shells / 298 \\ 6.5.1 Visualizing Cylinders / 301 \\ 6.5.2 Cylindrical Decompositions Off the Axis / 303 \\ 6.6 Work / 305 \\ Exercise Set 6 / 309 \\ 7 Integration Techniques \\ 7.1 Introduction / 313 \\ 7.2 Changing Variables / 314 \\ 7.2.1 Using a Change of Variables to Integrate / 316 \\ 7.2.2 Summary / 316 \\ 7.2.3 Additional Examples / 317 \\ 7.2.4 The Effective Use of Change of Variables / 318 \\ 7.2.5 Definite Integrals / 321 \\ 7.3 Integration by Parts / 326 \\ 7.3.1 Applications of Integration by Parts / 328 \\ 7.3.2 Definite Integrals / 331 \\ 7.3.3 Reduction Formulas / 333 \\ 7.4 Trigonometric Substitutions / 334 \\ 7.4.1 Mixtures of Sines and Cosines / 338 \\ 7.4.2 Identities for Secant and Tangent / 339 \\ 7.4.3 Integrating Secant / 342 \\ 7.4.4 Sums and Differences of Angles / 344 \\ 7.5 Square Roots of Quadratics / 344 \\ 7.6 Partial Fraction Decompositions / 352 \\ 7.6.1 Computing a Partial Fraction Decomposition / 352 \\ 7.6.2 Patterns for Partial Fractions / 354 \\ 7.6.3 Integrals with Quadratics in the Denominator / 356 \\ 7.6.4 Partial Fractions in Action / 357 \\ 7.7 Numerical Approximations / 361 \\ 7.7.1 The Trapezoidal Rule / 361 \\ 7.7.2 Simpson's Rule / 366 \\ Exercise Set 7 / 373 \\ 8 More Applications of Integration / 380 \\ 8.1 Volumes Through Integration / 380 \\ 8.1.1 Visualizing Stacks of Disks / 385 \\ 8.1.2 Variations on Volume / 388 \\ 8.2 Cylindrical Shells / 396 \\ 8.3 Arc Length / 398 \\ 8.4 Surface Area / 405 \\ Exercise Set 8 / 409 \\ 9 Parametric Equations \\ 9.1 Introduction / 413 \\ 9.2 Parametric Curves / 413 \\ 9.2.1 Finding Cartesian Representations / 415 \\ 9.3 Tangents and Areas Revisited / 420 \\ 9.3.1 Second Derivatives / 424 \\ 9.3.2 Areas / 426 \\ 9.4 Arc Length and Surface Area Revisited / 427 \\ 9.4.1 Arc Length / 428 \\ 9.4.2 Surface Area / 429 \\ 9.5 Polar Coordinates / 430 \\ 9.5.1 Curve Sketching in Polar Coordinates / 431 \\ 9.5.2 Tangent Lines and Polar Coordinates / 432 \\ 9.6 Areas in Polar Coordinates / 435 \\ 9.7 Arc Lengths in Polar Coordinates / 436 \\ Exercise Set 9 / 440 \\ 10 Sequences and Series / 446 \\ 10.1 Introduction / 446 \\ 10.2 Sequences / 446 \\ 10.2.1 Recurrence Relations / 447 \\ 10.2.2 Asymptotic Behavior of Sequences / 449 \\ 10.3 Series / 451 \\ 10.3.1 Arithmetic on Series / 456 \\ 10.4 Testing for Convergence and Divergence / 457 \\ 10.4.1 The Integral Test / 457 \\ 10.4.2 Comparison Tests / 460 \\ 10.4.3 Ratio Tests / 463 \\ 10.4.4 The Root Test / 465 \\ 10.5 Alternating Series / 465 \\ 10.6 Power Series / 468 \\ 10.7 Constructing Power Series / 471 \\ 10.7.1 Algebraic Manipulations of Power Series / 472 \\ 10.7.2 Constructing Coefficients / 477 \\ 10.7.3 Taylor Series / 480 \\ 10.8 Approximations / 481 \\ 10.8.1 Error Analysis / 483 \\ Exercise Set 10 / 488 \\ A The Computing Environment / 495 \\ A.1 The Student Package / 495 \\ A.2 Production Notes / 498", } @InProceedings{Devitt:1993:COT, author = "J. S. Devitt", title = "Combinatorial Objects and their Generating Functions: a {Maple} Class Room Environment", crossref = "Lee:1993:MCM", pages = "20--26", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Devlin:1993:CM, author = "Keith Devlin", title = "Computers and Mathematics", journal = j-NAMS, volume = "40", number = "3", pages = "236--241", month = mar, year = "1993", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Two reviews make up this month's column. Ira Gessel looks at the Macintosh version of Maple V, and Marvin Margolis reports on the Student Edition of Minitab.", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @InProceedings{Douglas:1993:EEA, author = "S. C. Douglas", title = "Exact expectation analysis of the {LMS} adaptive filter for correlated {Gaussian} input data", crossref = "IEEE:1993:III", volume = "3", pages = "519--522", year = "1993", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "In this paper, we present a method for deriving a set of linear update equations that can be used to predict the exact statistical behavior of a finite-impulse-response (FIR) LMS adaptive filter operating upon finite-time-correlated input data. Using our method, we can derive exact bounds upon the LMS step size to guarantee mean and mean-square convergence. Our equation-deriving procedure is recursive and algorithmic, and we describe a program written in the MAPLE symbolic-manipulation software package that automates the derivation for arbitrarily-long adaptive filters operating on correlated data. Extensive computer simulations indicate that the exact analysis is much more accurate than previous analyses in predicting adaptation behavior under correlated data conditions. Our results also indicate that analyses based upon the commonly-used independence assumption can be inaccurate in predicting the transient behavior of adaptive filters, even in slow adaptation situations.", acknowledgement = ack-nhfb, affiliation = "Univ of Utah", affiliationaddress = "Salt Lake City, UT, USA", classification = "716.1; 721.1; 723.2; 723.5; 731.1; 921.6", conference = "1993 IEEE International Conference on Acoustics, Speech and Signal Processing", conferenceyear = "1993", journalabr = "Proc ICASSP IEEE Int Conf Acoust Speech Signal Process", keywords = "Adaptive filtering; Adaptive systems; Algorithms; Computer simulation; Computer software; Convergence of numerical methods; Correlation methods; Correlation theory; Data reduction; Digital filters; Expectation analysis; Finite impulse response; Finite time correlated Gaussian input data; Interference suppression; Least mean square (LMS) algorithm; Mathematical models; Recursive functions; Signal filtering and prediction; Symbolic manipulation software package Maple", meetingaddress = "Minneapolis, MN, USA", meetingdate = "Apr 27--30 1993", meetingdate2 = "04/27--30/93", publisherinfo = "IEEE Service Center", sponsor = "IEEE; Signal Processing Society", } @Article{Elfimov:1993:VME, author = "A. G. Elfimov and E. S. Cheb-Terrab", title = "{Vlasov--Maxwell} equations for complicated plasma geometry", journal = j-COMP-PHYS-COMM, volume = "77", number = "3", pages = "357--373", month = nov, year = "1993", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(93)90182-C", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:29:40 MST 2012", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/001046559390182C", abstract = "The explicit form of Vlasov's equation for complicated plasma geometries (toroidal and spherical types) is obtained using the computer algebra package Maple. The use of the result in particular plasma physics problems is discussed. In addition, some remarks towards a closed analytical solution of the set of Vlasov--Maxwell equations are given.", acknowledgement = ack-nhfb, affiliation = "Universidade do Estado do Rio de Janeiro", affiliationaddress = "Rio de Janeiro, Braz", classification = "723.5; 921.1; 921.6; 932.3", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "Algebra; Charged particles; Computational methods; Computer aided analysis; Mathematical models; Numerical methods; Plasma geometry; Plasma theory; Plasmas; Software package Maple; Vlasov Maxwell equations", } @Article{Fleischmann:1993:SCC, author = "Peter Fleischmann and Ingo Janiszczak", title = "The semisimple conjugacy classes of finite groups of {Lie} type $ {E}_6 $ and $ {E}_7 $", journal = j-COMMUN-ALGEBRA, volume = "21", number = "1", pages = "93--161", year = "1993", CODEN = "COALDM", ISSN = "0092-7872 (print), 1532-4125 (electronic)", ISSN-L = "0092-7872", MRclass = "20D06 (20G40)", MRnumber = "93k:20029", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Algebra", keywords = "Maple", reviewer = "Jamshid Moori", } @InProceedings{Fofana:1993:EME, author = "M. Fofana and I. LeGrow and S. Carr", title = "Experiences with {Maple} in Engineering Education at the {University of Waterloo}", crossref = "Lee:1993:MCM", pages = "27--33", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Gander:1993:SPS, author = "Walter Gander and Ji{\v{r}}{\i} H{\v{r}}eb{\'\i}{\v{c}}ek", title = "Solving Problems in Scientific Computing Using {MAPLE} and {MATLAB}", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 268", year = "1993", ISBN = "0-387-57329-1, 3-540-57329-1", ISBN-13 = "978-0-387-57329-8, 978-3-540-57329-6", LCCN = "Q183.9 .G36 1993", bibdate = "Mon Nov 28 12:01:23 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "MAPLE (computer file); MATLAB; science -- data processing", } @Article{Gille:1993:SMD, author = "Jean-Charles Gille and Stefan W{\k{e}}grzyn and Pierre Vidal", title = "Some models for developmental systems. {XIII}. Multilevel development by parallel programming", journal = j-INT-J-SYST-SCI, volume = "24", number = "3", pages = "441--450", year = "1993", CODEN = "IJSYA9", ISSN = "0020-7721 (print), 1464-5319 (electronic)", ISSN-L = "0020-7721", MRclass = "93A10 (93B35)", MRnumber = "94a:93002", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Systems Science", journal-URL = "http://www.tandfonline.com/loi/tsys20", keywords = "Maple", reviewer = "Guy Jumarie", } @InProceedings{Gillespie:1993:ECK, author = "B. Gillespie and J. Uro", title = "Exact Calculation of the {Kaplan--Meier} Bias using {Maple} Software", crossref = "Lee:1993:MCM", pages = "128--136", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Gloggengiesser:1993:MVS, author = "H. Gloggengie{\ss}er", title = "{Maple V Software f{\"u}r Mathematiker}", publisher = "Markt \& Technik", address = "??", pages = "????", year = "1993", ISBN = "3-87791-439-X", ISBN-13 = "978-3-87791-439-7", bibdate = "Wed Aug 30 09:28:32 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Grant:1993:CBF, author = "I. P. Grant and H. M. Quiney", title = "A class of {Bessel} function integrals with application in particle physics", journal = j-J-PHYS-A, volume = "26", number = "24", pages = "7547--7562", year = "1993", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "81V10 (33C10 65R10)", MRnumber = "95g:81220", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", journal-URL = "http://iopscience.iop.org/0305-4470", keywords = "Maple", reviewer = "T. Erber", } @InProceedings{Greene:1993:ICP, author = "R. L. Greene", title = "On Integrating Computers into the Physics Curriculum", crossref = "Lee:1993:MCM", pages = "34--42", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Gruntz:1993:NAC, author = "Dominik Gruntz", title = "A New Algorithm for Computing Asymptotic Series", crossref = "Bronstein:1993:IPI", pages = "239--244", year = "1993", bibdate = "Thu Mar 12 08:40:26 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/164081/p239-gruntz/", abstract = "We describe a new algorithm for computing asymptotic expansions for a large class of expressions, whereby the asymptotic series are of a form more complicated than mere Puiseux series. Today's computer algebra systems still lack good algorithms for handling such asymptotic expansions, although in theory some algorithms have been presented. The algorithm we present in this article is directly induced by the limit computation algorithm presented in Gonnet and Gruntz (1992) which is based on series computations in terms of the most rapidly varying subexpression of a given expression. Examples of the algorithm implemented in Maple are shown.", acknowledgement = ack-nhfb, affiliation = "Inst. for Sci. Comput., Eidgenossische Tech. Hochschule, Zurich, Switzerland", classification = "C1100 (Mathematical techniques); C7310 (Mathematics computing)", keywords = "ACM; algebraic computation; algorithms; Asymptotic expansions; Computer algebra; ISSAC; Maple; SIGSAM, Asymptotic series; symbolic computation", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Analysis of algorithms. {\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems.", thesaurus = "Series [mathematics]; Symbol manipulation", } @Article{Harrison:1993:RAR, author = "John Harrison and Laurent Thery", title = "Reasoning About the Reals: The Marriage of {HOL} and {Maple}", journal = j-LECT-NOTES-COMP-SCI, volume = "698", pages = "351--??", year = "1993", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Tue Aug 26 15:40:30 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @Book{Heck:1993:IM, author = "Andr{\'e} Heck", title = "Introduction to {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 497", year = "1993", ISBN = "0-387-97662-0 (New York), 3-540-97662-0 (Berlin)", ISBN-13 = "978-0-387-97662-4 (New York), 978-3-540-97662-2 (Berlin)", LCCN = "QA155.7.E4H43 1993", bibdate = "Tue Dec 14 22:55:13 1993", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", abstract = "A modern computer algebra system that automates the symbolic, numeric, and graphical computation involved in mathematical problem solving. It provides a gentle presentation of this computer algebra system.", acknowledgement = ack-nhfb, tableofcontents = "Introduction to computer algebra \\ The first steps: calculus on numbers \\ Variables and names \\ Getting around with Maple \\ Polynomials and rational functions \\ Internal data representation and substitution \\ Manipulation of polynomials and rational expressions \\ Functions \\ Differentiation \\ Integration and summation \\ Truncated series expansions, power series, and limits \\ Composite data types \\ Simplification \\ Graphics \\ Solving equations \\ Differential equations \\ Linear algebra: basics \\ Linear algebra: applications", } @Book{Holmes:1993:ECM, author = "Mark H. Holmes and Joseph G. Ecker and William E. Boyce and William L. Siegmann", title = "Exploring Calculus with {Maple}", publisher = pub-AW, address = pub-AW:adr, pages = "vii + 258", year = "1993", ISBN = "0-201-52616-6", ISBN-13 = "978-0-201-52616-5", LCCN = "QA303.5.D37 E97 1993", bibdate = "Wed Dec 15 09:12:29 1993", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Ioakimidis:1993:CBM, author = "N. I. Ioakimidis and E. G. Anastasselou", title = "Computer-based manipulation of systems of equations in elasticity problems with {Gr{\"o}bner} bases", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "110", number = "1-2", pages = "103--111", year = "1993", CODEN = "CMMECC", ISSN = "0045-7825, 0374-2830", ISSN-L = "0045-7825", MRclass = "73C02 (73-04 73V99)", MRnumber = "94h:73024", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", journal-URL = "http://www.sciencedirect.com/science/journal/00457825", keywords = "Maple", } @InProceedings{Jeffrey:1993:IOE, author = "D. J. Jeffrey", title = "Integration to obtain expressions valid on domains of maximum extent", crossref = "Bronstein:1993:IPI", pages = "34--41", year = "1993", bibdate = "Thu Mar 12 08:40:26 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/164081/p34-jeffrey/", abstract = "In certain circumstances, the integration routines used by computer algebra systems return expressions whose domains of validity are unnecessarily restricted by the presence of discontinuities. It is argued that this is undesirable and that integration routines should meet an additional requirement: they should return expressions that are valid on domains of maximum extent. The contention is supported by general mathematical arguments, by an examination of existing practises and by a demonstration that two standard algorithms can be modified to meet the requirement.", acknowledgement = ack-nhfb, affiliation = "Dept. of Appl. Math., Univ. of Western Ontario, London, Ont., Canada", classification = "C4160 (Numerical integration and differentiation); C6130 (Data handling techniques); C7310 (Mathematics computing)", keywords = "ACM; algebraic computation; algorithms; Computer algebra systems; Discontinuities; General mathematical arguments; Integration routines; languages; Maximum extent; SIGSAM; Standard algorithms, ISSAC; symbolic computation; Validity domains", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms. {\bf G.4} Mathematics of Computing, MATHEMATICAL SOFTWARE, Mathematica. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Integration; Symbol manipulation", } @Book{Johnson:1993:LAM, author = "Eugene W. Johnson", title = "Linear Algebra with {Maple V}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xii + 142", year = "1993", ISBN = "0-534-13069-0", ISBN-13 = "978-0-534-13069-5", LCCN = "QA185.D37 J64 1993", bibdate = "Tue Nov 2 12:22:39 1993", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", acknowledgement = ack-nhfb, libnote = "Not yet in my library.", tableofcontents = "0 Introduction \\ 0.1 Getting Started with Maple / 2 \\ 0.2 Editing, Saving, and Retrieving Your Work / 2 \\ 0.3 An Introductory Tour of Maple / 2 \\ 0.3.1 Arithmetic / 3 \\ 0.3.2 Prompts / 4 \\ 0.3.3 The Terminators in Maple / 5 \\ 0.3.4 Getting Help / 6 \\ 0.3.5 Ditto, Ditto, Ditto / 6 \\ 0.3.6 Built-in Functions and Constants / 7 \\ 0.3.7 Approximate Solutions / 7 \\ 0.3.8 Assigning Names / 8 \\ 0.3.9 Unassigning Names / 9 \\ 0.3.10 Extending Maple \\ 0.3.11 Symbolic Calculations with Maple / 11 \\ 0.3.12 Equations / 12 \\ 0.3.13 Calculus with Maple / 14 \\ 0.3.14 Graphing Functions with Maple / 15 \\ 0.3.15 Other Types of Maple Objects / 16 \\ 0.3.16 Substitution / 18 \\ 0.3.17 Automating Repetitive Procedures: Loops / 18 \\ 0.3.18 Generating Sequences, Sums, and Products / 20 \\ 0.3.19 Aliases and Macros / 21 \\ 0.3.20 Simplification and Evaluation / 23 \\ 0.3.21 Quitting a Maple Session / 23 \\ Exercises / 24 \\ 1 Matrices and Linear Systems / 26 \\ 1.1 The Linear Algebra Package / 26 \\ 1.2 Gaussian Elimination and Row Reduction / 26 \\ 1.2.1 Manual Row Reduction / 28 \\ 1.2.2 Automated Gaussian Elimination and Back-Substitution / 30 \\ Exercises 1.2 / 31 \\ 1.3 More on Matrices in Maple / 32 \\ Reviewing and Editing Matrix Definitions / 34 \\ Exercises 1.3 / 35 \\ 1.4 Matrix Arithmetic / 36 \\ 1.4.1 A Few Pitfalls to Avoid / 39 \\ 1.4.2 Legal Names / 39 \\ 1.4.3 Random Matrices / 41 \\ 1.4.4 Symbolic Matrices / 41 \\ Exercises 1.4 / 43 \\ 1.5 det and Other Built-in Matrix Functions / 45 \\ Exercises 1.5 / 46 \\ 1.6 Applications / 46 \\ Curve Fitting and Interpolation / 46 \\ Problems on Curve Fitting and Interpolation / 48 \\ Leontief Economic Model / 49 \\ Problems on the Leontief Model / 51 \\ Incidence Matrices / 51 \\ Problems on Incidence Matrices / 53 \\ Coding Theory / 55 \\ Problems on Coding Theory / 57 \\ 2 The Algebra of Vectors / 59 \\ 2.1 Introduction to Vectors in Maple / 59 \\ 2.1.1 Defining Vectors in Maple / 59 \\ Reviewing and Editing Vector Definitions / 60 \\ 2.1.2 Vector Arithmetic / 60 \\ 2.1.3 ``Cutting and Pasting'' Vectors and Matrices / 62 \\ 2.1.4 Solving Linear Matrix--Vector Equations / 63 \\ The Solutions of a Homogeneous Linear System / 64 \\ Exercises 2.1 / 65 \\ 2.2 Span and Linear Independence / 67 \\ Exercises 2.2 / 69 \\ 2.3 Bases, Dimension, and Coordinates / 69 \\ Change of Coordinates / 71 \\ Exercises 2.3 / 71 \\ 2.4 Subspaces Associated with a Matrix / 72 \\ Exercises 2.4 / 73 \\ 2.5 The Gram-Schmidt Procedure / 74 \\ Exercises 2.5 / 76 \\ 2.6 Applications / 76 \\ Stability and Steady-state Vectors / 76 \\ Problems on Stability and Steady-state Vectors / 79 \\ Orthogonal Projection / 80 \\ Problems on Least Squares / 81 \\ Curve Fitting with Too Many Points / 82 \\ Problems on Curve Fitting / 83 \\ Curve Fitting with Other Inner Products / 84 \\ Additional Problems on Curve Fitting / 85 \\ 3 Eigenspaces \\ 3.1 Eigenvalues and Eigenvectors / 86 \\ Exercises 3.1 / 90 \\ 3.2 Similarity / 90 \\ 3.2.1 Similarity and Diagonalization / 91 \\ Diagonalizing with jordan / 95 \\ Exercises on Diagonalization / 96 \\ 3.2.2 Similarity and Triangularization / 96 \\ Triangularizing with jordan / 98 \\ Exercises on Triangularization / 99 \\ 3.2.3 Orthogonal Diagonalization / 99 \\ Exercises on Orthogonal Diagonalization / 100 \\ 3.2.4 Similarity, Smith Form, and Frobenius Form / 101 \\ Smith Form / 101 \\ Frobenius Form / 101 \\ Exercises on Smith Form and Frobenius Form / 102 \\ 3.3 Applications / 102 \\ Systems of Linear Differential Equations / 102 \\ Exercises on Systems of Linear Differential Equations / 104 \\ Problems on Systems of Linear Differential Equations / 105 \\ The Exponential Function / 107 \\ Exercises on the Exponential Function / 110 \\ Problems on the Exponential Function / 111 \\ Systems of Recurrence Relations / 111 \\ Problems on Systems of Recurrence Relations / 114 \\ Quadratic Forms: The Principal Axis Theorem / 115 \\ Exercises on Quadratic Forms / 116 \\ 4 Linear Transformations / 118 \\ 4.1 Linear Transformations in Maple / 118 \\ Exercises 4.1 / 119 \\ 4.2 Matrices and Linear Transformations / 120 \\ Exercises 4.2 / 122 \\ 4.3 Applications / 123 \\ Differential Equations / 123 \\ The Wronskian / 125 \\ Initial Conditions / 127 \\ Exercises on Differential Equations / 128 \\ Problems on Differential Equations / 129 \\ Linear Recurrence Relations and Difference Equations / 130 \\ The Casoratian / 133 \\ Initial Conditions / 134 \\ Exercises on Linear Recurrence Relations / 136 \\ Problems on Linear Recurrence Relations / 136 \\ Index / 139", } @Article{Kalkbrener:1993:GEA, author = "Michael Kalkbrener", title = "A Generalized {Euclidean} Algorithm for Computing Triangular Representations of Algebraic Varieties", journal = j-J-SYMBOLIC-COMP, volume = "15", number = "2", pages = "143--168 (or 143--167??)", month = feb, year = "1993", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "13P10 (13-04 14-04 14Q15 68Q40)", MRnumber = "94e:13053", MRreviewer = "Robert O. Robson", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Res. Inst. for Symbolic Comput., Linz Univ., Austria", classcodes = "C7310 (Mathematics); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", classification = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory); C7310 (Mathematics)", corpsource = "Res. Inst. for Symbolic Comput., Linz Univ., Austria", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "algebraic varieties; Algebraic varieties; computational complexity; computer algebra system MAPLE; Computer algebra system MAPLE; generalized Euclidean algorithm; Generalized Euclidean algorithm; greatest common divisors; Greatest common divisors; mathematics computing; polynomials; Polynomials; radical membership; Radical membership; symbol manipulation; triangular representations; Triangular representations; unmixed-dimensional decomposition; Unmixed-dimensional decomposition", thesaurus = "Computational complexity; Mathematics computing; Polynomials; Symbol manipulation", treatment = "P Practical", } @Book{Kamminga-vanHulsen:1993:CMM, author = "M. {Kamminga-van Hulsen}", title = "Computeralgebra met {Maple}", publisher = "Academic Service", address = "????", pages = "????", year = "1993", ISBN = "90-6233-923-9", ISBN-13 = "978-90-6233-923-5", bibdate = "Wed Aug 30 09:30:28 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Kautsky:1993:ACD, author = "Jaroslav Kautsk{\'y}", title = "An algebraic construction of discrete wavelet transforms", journal = j-APPL-MATH, volume = "38", number = "3", pages = "169--193", year = "1993", CODEN = "APMTEO", ISSN = "0862-7940 (print), 1572-9109 (electronic)", ISSN-L = "0862-7940", MRclass = "65F30 (42C15 65T99)", MRnumber = "94d:65029", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Applications of Mathematics", keywords = "Maple", reviewer = "Fritz Keinert", } @Article{Kinderlehrer:1993:EDO, author = "David Kinderlehrer and Biao Ou and Noel Walkington", title = "The elementary defects of the {Oseen-Frank} energy for a liquid crystal", journal = j-C-R-MATH-I, volume = "316", number = "5", pages = "465--470", year = "1993", CODEN = "CHASAP", ISSN = "0764-4442 (print), 1778-3577 (electronic)", MRclass = "58E12 (35Q99 76A15 82D30)", MRnumber = "94a:58036", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Koekoek:1993:SDE, author = "Roelof Koekoek", title = "The search for differential equations for certain sets of orthogonal polynomials", journal = j-J-COMPUT-APPL-MATH, volume = "49", number = "1--3", pages = "111--119", year = "1993", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "33C45 (34A99 42C05)", MRnumber = "95m:33008", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Proceedings of the Seventh Spanish Symposium on Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991)", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "Maple", } @Article{Koornwinder:1993:ZAA, author = "Tom H. Koornwinder", title = "On {Zeilberger}'s algorithm and its $q$-analogue", journal = j-J-COMPUT-APPL-MATH, volume = "48", number = "1--2", pages = "91--111", year = "1993", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "33C20 (05A19 05A30 33D15 68Q40)", MRnumber = "95b:33011", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Proceedings of the Seventh Spanish Symposium on Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991)", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "Maple", reviewer = "Ira Gessel", } @InProceedings{Lim:1993:ACA, author = "C. T. Lim and M. T. Ensz and M. A. Ganter and D. W. Storti", title = "Algebraic Computer Aided-Design with {Maple V.2}", crossref = "Lee:1993:MCM", pages = "169--175", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Article{Llovet:1993:LRS, author = "J. Llovet and R. Mart{\'\i}nez and J. A. Ja{\'e}n", title = "Linear recurring sequences for computing the resultant of multivariate polynomials", journal = j-J-COMPUT-APPL-MATH, volume = "49", number = "1--3", pages = "145--152", year = "1993", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65D05", MRnumber = "94m:65022", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Proceedings of the Seventh Spanish Symposium on Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991)", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "Maple", } @InProceedings{Lohr:1993:RED, author = "L. L. Lohr and C. H. Huben", title = "Rotational Energy Dispersions for {van der Waals} Molecular Clusters", crossref = "Lee:1993:MCM", pages = "137--143", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @InProceedings{Lopez:1993:MNA, author = "R. J. Lopez", title = "{Maple}: The New Apprenticeship in Applied Mathematics", crossref = "Grayson:1993:EER", pages = "559--564", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Rose-Hulman Inst. of Technol., Terre Hauke, IN, USA", classification = "B0120 (Education and training); C7310 (Mathematics computing); C7810C (Computer-aided instruction)", keywords = "Applied mathematics; Computer algebra system; Engineering analysis; Learning device; Maple; Production tool; Software; Teaching device; Undergraduate mathematics curriculum", thesaurus = "Computer aided instruction; Educational courses; Mathematics; Mathematics computing; Software packages", } @Article{Malle:1993:PGG, author = "Gunter Malle", title = "{Polynome mit Galoisgruppen $ {\rm PGL}_2 (p) $ und $ {\rm PSL}_2 (p) $ {\"u}ber $ {\bf Q}(t) $} ({German}) [{Polynomials} with {Galois} groups {$ {\rm PGL}_2 (p) $} and {$ {\rm PSL}_2 (p) $} over {$ {\bf Q}(t) $} ]", journal = j-COMMUN-ALGEBRA, volume = "21", number = "2", pages = "511--526", year = "1993", CODEN = "COALDM", ISSN = "0092-7872 (print), 1532-4125 (electronic)", ISSN-L = "0092-7872", MRclass = "12F12", MRnumber = "94c:12007", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Communications in Algebra", keywords = "Maple", language = "German", reviewer = "Martin Epkenhans", } @InProceedings{Mavaddat:1993:RSP, author = "F. Mavaddat", title = "The Role of a Symbolic Programming Language in Hardware Verification: The Case of {Maple}", crossref = "Lee:1993:MCM", pages = "176--187", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{McLaughlin:1993:CMV, author = "R. McLaughlin", title = "Calculus and {Maple V}", publisher = pub-SAUNDERS, address = pub-SAUNDERS:adr, pages = "????", year = "1993", ISBN = "0-03-096778-3", ISBN-13 = "978-0-03-096778-8", bibdate = "Wed Aug 30 09:36:59 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Monagan:1993:GAD, author = "M. B. Monagan and W. M. Neuenschwander", title = "{GRADIENT}, Algorithmic Differentiation in {Maple}", crossref = "Bronstein:1993:IPI", pages = "68--76", year = "1993", bibdate = "Mon Sep 30 05:07:04 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Many scientific applications require computation of the derivatives of a function $ f : R^n $ to $ R^m $ as well as the function values of $f$ itself. All computer algebra systems can differentiate functions represented by formulae. But not all functions can be described by formulae. And formulae are not always the most effective means for representing functions and derivatives. In this paper we describe the algorithms used by the Maple (2) routine GRADIENT that accepts as input a Maple procedure for the computation of $f$ and outputs a new Maple procedure that computes the gradient of $f$. The design of the GRADIENT routine is such that it is also trivial to generate Maple procedures for the computation of Jacobians and Hessians.", acknowledgement = ack-nhfb, affiliation = "Inst. f{\"u}r Wissenschaftliches Rechnen, Eidgenossische Tech. Hochschule, Zurich, Switzerland", classification = "C4160 (Numerical integration and differentiation); C6130 (Data handling techniques); C7310 (Mathematics computing)", keywords = "ACM; algebraic computation; Algorithmic differentiation; Computer algebra systems; Function values; GRADIENT; Hessians, ISSAC; Jacobians; Maple; Scientific applications; SIGSAM; symbolic computation", searchkey = "cn:issac", thesaurus = "Differentiation; Mathematics computing; Symbol manipulation", } @Article{Monagan:1993:GFC, author = "Michael B. Monagan", title = "{von zur Gathen}'s Factorization Challenge", journal = j-SIGSAM, volume = "27", number = "2", pages = "13--18", month = apr, year = "1993", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Mon Jan 08 17:58:32 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "J. von zur Gathen (ibid., vol.26, no.2, 1992) made a polynomial factorization challenge to focus practical efforts in the area of factorization over finite fields. With more powerful machines and more time (the longest factorization took 32 hours) this `brute-force' approach will carry somewhat further, and probably solve the first challenge: The author has factored these polynomials on a DEC station 3100.", acknowledgement = ack-nhfb, affiliation = "Inst. f{\"u}r Wissenschaftliches Rechnen, ETH Zentrum, Zurich, Switzerland", classification = "C7310 (Mathematics)", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "DEC station 3100; Factorization; Finite fields; Maple; Polynomials", pubcountry = "USA", thesaurus = "Mathematics computing", } @Book{Murray:1993:EPD, author = "Carl D. Murray and David Harper", title = "Expansion of the Planetary Disturbing Function to Eighth Order in the Individual Orbital Elements", volume = "15", publisher = pub-SMS-QMWC-UL, address = pub-SMS-QMWC-UL:adr, pages = "vii + 436", year = "1993", ISBN = "0-902480-14-6", ISBN-13 = "978-0-902480-14-8", LCCN = "QB603.M6 M87 1993", MRclass = "70F15 (70-04 70F07)", MRnumber = "94h:70012", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "The machine-readable version is available via anonymous ftp from either \path=galois.maths.qmw.ac.uk= (\path=138.37.80.15=) or \path=euclid.maths.qmw.ac.uk= (\path=138.37.80.16=) in the directory \path=pub/expan=. The book was generated automatically from the {Maple}\slash Mathematica output to produce a Plain {\TeX} file.", price = "UD\pounds 13.00", series = "QMW Maths Notes", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Nagata:1993:NIT, author = "Wayne Nagata", title = "Nonhyperbolic invariant tori in a double {Hopf} bifurcation with reflection symmetry", journal = j-NONLINEARITY, volume = "6", number = "2", pages = "259--275", year = "1993", CODEN = "NONLE5", ISSN = "0951-7715 (print), 1361-6544 (electronic)", ISSN-L = "0951-7715", MRclass = "58F14 (34C23 34C35)", MRnumber = "94c:58139", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Nonlinearity (Bristol)", journal-URL = "http://iopscience.iop.org/0951-7715", keywords = "Maple", reviewer = "Ian Melbourne", } @InProceedings{Nguyen:1993:SCC, author = "T. T. Nguyen", title = "Symbolic Computation in Computable General Equilibrium Modeling", crossref = "Lee:1993:MCM", pages = "144--156", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Article{Piecuch:1993:MSC, author = "Piotr Piecuch", title = "{MAPLE} Symbolic Computation of the Long-Range Many-Body Intermolecular Potentials: Three-Body Induction Forces Between Two Atoms and a Linear Molecule", journal = j-IJQC, volume = "47", number = "4", pages = "261--305", day = "15", month = aug, year = "1993", CODEN = "IJQCB2", DOI = "https://doi.org/10.1002/qua.560470403", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Tue Oct 4 06:58:44 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/ijqc1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Inst. of Chem., Wroclaw Univ., Poland", ajournal = "Int. J. Quantum Chem.", chemicalindex = "ArArHCl/ss Ar/ss Cl/ss H/ss", classification = "A3420 (Interatomic and intermolecular potentials and forces); C7320 (Physics and Chemistry)", fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", keywords = "Ar-Ar-HCl; Atoms; High-resolution microwave studies; Irreducible tensor formalism; Isosceles triangular configuration; \LaTeX{}; Linear molecule; Long-range many-body intermolecular potentials; MAPLE symbolic computation; Multipole approximation level; Nonadditive induction effects; Rayleigh--Schr{\"o}dinger perturbation theory; Three-body induction forces; Typesetting language; van der Waals coefficients", onlinedate = "19 Oct 2004", thesaurus = "Argon; Hydrogen compounds; Intermolecular mechanics; Physics computing; Potential energy functions", } @InProceedings{Pinchback:1993:WLM, author = "R. Pinchback", title = "Working with Large Matrices in {Maple}", crossref = "Lee:1993:MCM", pages = "77--86", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Book{Redfern:1993:MH, author = "Darren Redfern", title = "The {Maple} Handbook", publisher = pub-SV, address = pub-SV:adr, pages = "497", year = "1993", ISBN = "0-387-94054-5 (New York), 3-540-94054-5 (Berlin)", ISBN-13 = "978-0-387-94054-0 (New York), 978-3-540-94054-8 (Berlin)", LCCN = "QA76.95 .R43 1993", bibdate = "Fri Apr 1 17:21:27 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", price = "FF 181,00", acknowledgement = ack-nhfb, tableofcontents = "Introduction / 1 \\ Getting Started with Maple / 9 \\ Calculus / 33 \\ Linear Algebra / 67 \\ Solving Equations / 109 \\ Polynomials and Common Transformations / 141 \\ Geometry / 183 \\ Combinatorics and Graph Theory / 225 \\ Number Theory / 257 \\ Standard Functions and Constants / 293 \\ Expression Manipulation / 323 \\ Plotting / 343 \\ Programming and System Commands / 371 \\ Miscellaneous / 417 \\ Index / 481", } @InProceedings{Rhee:1993:UMA, author = "N. H. Rhee", title = "Using {Maple} for Asymptotic Convergence Analysis", crossref = "Lee:1993:MCM", pages = "87--94", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @InProceedings{Royster:1993:UMC, author = "D. C. Royster", title = "Using {Maple} and the Calculus Reform Material in the Calculus Sequence", crossref = "Lee:1993:MCM", pages = "43--50", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Article{Salvy:1993:EPM, author = "Bruno Salvy", title = "Efficient programming in {Maple}: a case study", journal = j-SIGSAM, volume = "27", number = "2", pages = "1--12", month = apr, year = "1993", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Mon Jan 08 17:58:38 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Studying the computation of orbits of some given group acting on a set, the author shows how successive refinements of a simple program provide a speedup factor of up to 200. The initial program cannot solve the problem at all, it is first converted into a program which needs one c.p.u. week and after all the optimizations have been performed, the computation takes only four hours. Although the problem is specific, he shows that many of the optimizations are of interest for other problems as well.", acknowledgement = ack-nhfb, affiliation = "Algorithms Project, INRIA Rocquencourt, Le Chesnay, France", classification = "C4140 (Linear algebra); C6110 (Systems analysis and programming); C7310 (Mathematics)", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "Maple; Orbits; Programming; Successive refinements", pubcountry = "USA", thesaurus = "Mathematics computing; Matrix algebra; Programming", } @Misc{Scheer:1993:KBF, author = "Axel Scheer", title = "Kurvendiskussion Bestimmter Funktionen", howpublished = "Studienarbeit", school = "Technischen Universit{\"{a}}t Carolo-Wilhelmina zu Braunschweig", address = "Braunschweig, Germany", year = "1993", bibdate = "Sat Dec 30 09:07:45 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "In der Studienarbeit Wurden Algorithmen zur Behandlung der Nullstellen, Extremwerte und der Wendepunkte Sowie das Symmetrie- und Monotonieverhalten Einiger Elementarer Funktionen in Maple Implementiert.", descriptor = "Kurvendiskussion, Maple, Symbolmanipulation", } @InProceedings{Scheftic:1993:IMT, author = "C. Scheftic", title = "Interactive Mathematics Texts: Ideas for Developers", crossref = "Lee:1993:MCM", pages = "51--64", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Article{Seidel:1993:PFG, author = "Hans-Peter Seidel", title = "Polar forms for geometrically continuous spline curves of arbitrary degree", journal = j-TOG, volume = "12", number = "1", pages = "1--34", month = jan, year = "1993", CODEN = "ATGRDF", ISSN = "0730-0301 (print), 1557-7368 (electronic)", ISSN-L = "0730-0301", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This paper studies geometrically continuous spline curves of arbitrary degree. Based on the concept of universal splines, we obtain geometric constructions for both the spline control points and for the Bezier points and give algorithms for computing locally supported basis functions and for knot insertion. The geometric constructions are based on the intersection of osculating flats. The concept of universal splines is defined in such a way that these intersections are guaranteed to exist. As a result of this development, we obtain a generalization of polar forms to geometrically continuous spline curves by intersecting osculating flats. The presented algorithms have been coded in Maple, and concrete examples illustrate the approach.", acknowledgement = ack-nhfb, affiliation = "Univ of Waterloo", affiliationaddress = "Waterloo, Ont, Can", classification = "723.5; 921.1; 921.6", fjournal = "ACM Transactions on Graphics", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778", journalabr = "ACM Trans Graphics", keywords = "Algorithms; B spline; Bezier point; Computational methods; Computer aided design; Computer graphics; Connection matrix; de Boor algorithm; Geometrically continuous spline curves; Geometry; Graphic methods; Knot insertion; Maple; Matrix algebra; Osculating flat; Polar forms; Poles and zeros; Spline control point; Vectors", } @InProceedings{Shirayanagi:1993:ACF, author = "Kiyoshi Shirayanagi", title = "An algorithm to compute floating point {Gr{\"o}bner} bases", crossref = "Lee:1993:MCM", pages = "95--106", year = "1993", MRclass = "68Q40 (13P10 68Q25)", MRnumber = "94j:68129", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Article{Siegl:1993:PAS, author = "Kurt Siegl", title = "Parallelizing algorithms for symbolic computation using $ \parallel ${Maple}$ \parallel $", journal = j-SIGPLAN, volume = "28", number = "7", pages = "179--186", month = jul, year = "1993", CODEN = "SINODQ", ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160 (electronic)", ISSN-L = "0362-1340", bibdate = "Sun Dec 14 09:16:39 MST 2003", bibsource = "Compendex database; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "$ \parallel $Maple$ \parallel $ (speak: parallel Maple) is a portable system for parallel symbolic computation. The system is built as an interface between the parallel declarative programming language Strand and the sequential computer algebra system Maple, thus providing the elegance of Strand and the power of the existing sequential algorithms in Maple. The implementation of different parallel programming paradigms shows that it is fairly easy to parallelize even complex algebraic algorithms using this system. Sample applications (among them algorithms solving multivariate nonlinear equation systems) are implemented on various parallel architectures. For example a straightforward parallelization of the complex and important problem of real root isolation has been parallelized using a generic Strand program of fewer than 20 lines of code and a slight modification of 5 lines in the original sequential Maple source. Even with such a simple modification we gained a speed-up of 5 times, that is better than those reported by others in the literature.", acknowledgement = ack-nhfb, affiliation = "Res. Inst. for Symbolic Comput., Johannes Kepler Univ., Linz, Austria", classification = "721.1; 722.4; 723.1; 921.1; C6110P (Parallel programming); C6140D (High level languages); C7310 (Mathematics)", confdate = "19-22 May 1993", conference = "Proceedings of the 4th ACM SIGPLAN Symposium on Principles \& Practice of Parallel Programming", conferenceyear = "1993", conflocation = "San Diego, CA, USA", confsponsor = "ACM", fjournal = "ACM SIGPLAN Notices", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706", keywords = "Algebra; Algorithms; Complex algebraic algorithms; Computational methods; Computer programming languages; Computer software portability; Generic Strand program; Interfaces (computer); Logic programming; Multivariate nonlinear equation systems; Parallel architectures; Parallel declarative programming language Strand; Parallel Maple; Parallel processing systems; Parallel programming paradigms; Parallel symbolic computation; Portable system; Real root isolation; Sequential algorithms; Sequential computer algebra system; Slight modification; Subroutines; Symbolic computation", meetingabr = "Proc 4th ACM SIGPLAN Symp Princ Pract Parallel Program", meetingaddress = "San Diego, CA, USA", meetingdate = "May 19--22 1993", meetingdate2 = "05/19--22/93", pubcountry = "USA", sponsor = "Association for Computing Machinery", thesaurus = "Parallel languages; Parallel programming; Symbol manipulation", } @InProceedings{Thompson:1993:SCS, author = "D. Thompson and T. Trias and L. Leff", title = "A Symbolic {CSG} System Written in {Maple V}", crossref = "Lee:1993:MCM", pages = "188--199", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @InProceedings{Tsang:1993:SNN, author = "C. P. Tsang", title = "Synthesizing neural network applications using computer algebra", crossref = "IEEE:1993:JNP", volume = "1", pages = "919--922", year = "1993", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The software engineering of Neural Network (NN) applications faces many different problems from those of traditional programming. Due to the stochastic nature of NN, it is extremely hard to verify the correctness of a NN application by exhaustive testing. It is also very hard to tell whether a NN application is generating the intended results, because there are many parameters and variables. Lastly, NN software is usually time intensive and highly optimised code is required. This paper explores the use of computer algebra to synthesize neural network applications. We can generate highly reliable and efficient codes (probably the most efficient possible) from a high level NN algebraic specification. The computer algebra package not only handles most of the algebraic manipulation in the deviation of the computation formulas, but also perform simplification and verification. Due to the non-existence of control codes, synthesized NN codes can fully exploit computer architecture such as high-speed cache and pipelines.", acknowledgement = ack-nhfb, affiliation = "Univ of Western Australia", affiliationaddress = "Nedlands, Aust", classification = "722.4; 723.1.1; 723.4; 723.5; 921.1; 921.6", conference = "Proceedings of 1993 International Joint Conference on Neural Networks. Part 1 (of 3)", conferenceyear = "1993", journalabr = "Proc Int Jt Conf Neural Networks", keywords = "Algebra; Analog and digital hardware implementation; Back propagation algorithm; Codes (symbols); Computation formula; Computer aided analysis; Computer algebra; Computer architecture; Gradient decent method; High level languages; Maple (programming language); Mathematical operators; Neural networks; Software engineering", meetingaddress = "Nagoya, Japan", meetingdate = "Oct 25--29 1993", meetingdate2 = "10/25--29/93", publisherinfo = "IEEE Service Center", sponsor = "ENNS; INNS; IEEE; SICE; IEICE; et al", } @InProceedings{Volcheck:1993:NTS, author = "Emil J. Volcheck", title = "{Noether}'s $ {S} $-transformation simplifies curve singularities rationally: a local analysis", crossref = "Bronstein:1993:IPI", pages = "164--172", year = "1993", bibdate = "Thu Mar 12 08:40:26 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/164081/p164-volcheck/", acknowledgement = ack-nhfb, keywords = "algorithms; languages; verification", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms. {\bf F.2.2} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Geometrical problems and computations. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", } @Article{Wang:1993:ACI, author = "Rongdong Wang and Peng-yung Woo", title = "Automatic computation of {$z$}- \& inverse {$z$}-transformations by {Maple}", journal = j-J-SYMBOLIC-COMP, volume = "15", number = "3", pages = "349--363", month = mar, year = "1993", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40", MRnumber = "MR1229641", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Texas A and I Univ., Kingsville, TX, USA", classcodes = "C7310 (Mathematics); C6115 (Programming support)", classification = "C6115 (Programming support); C7310 (Mathematics)", corpsource = "Dept. of Math., Texas A and I Univ., Kingsville, TX, USA", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Algebraic manipulation software; algebraic manipulation software; Inverse Z-transformations; inverse Z-transformations; manipulation; Maple; mathematics computing; software packages; symbol; Z-transformation; z-transformation", thesaurus = "Mathematics computing; Software packages; Symbol manipulation", treatment = "P Practical", } @Book{Waterloo:1993:MV, author = "{Waterloo Maple Software}", title = "{Maple V}", publisher = pub-WATERLOO-MAPLE-SOFTWARE, address = pub-WATERLOO-MAPLE-SOFTWARE:adr, edition = "Student version, release 2", year = "1993", ISBN = "0-387-14211-8", ISBN-13 = "978-0-387-14211-1", LCCN = "QA76.95", bibdate = "Tue Aug 22 17:43:09 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Six computer disks.", acknowledgement = ack-nhfb, } @InProceedings{Watkins:1993:CST, author = "J. Watkins and S. Yurkovich", title = "Calculation of the State Transition Matrix for Linear Time Varying Systems", crossref = "Lee:1993:MCM", pages = "157--166", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; mathematical computation; MSWS", } @Book{Werner:1993:MLMa, author = "W. Werner", title = "{Mathematik lernen mit Maple V}", publisher = pub-ELBI, address = pub-ELBI:adr, pages = "????", year = "1993", ISBN = "3-929694-03-4", ISBN-13 = "978-3-929694-03-1", bibdate = "Wed Aug 30 09:42:40 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Werner:1993:MLMb, author = "W. Werner", title = "{Mathematikaufgaben l{\"o}sen mit Maple V}", publisher = pub-ELBI, address = pub-ELBI:adr, pages = "????", year = "1993", ISBN = "3-929694-04-2", ISBN-13 = "978-3-929694-04-8", bibdate = "Wed Aug 30 09:42:40 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Includes diskette.", acknowledgement = ack-nhfb, } @InProceedings{Yang:1993:MIT, author = "W.-C. Yang", title = "{Maple} and the Integral Test for Series", crossref = "Lum:1993:TCM", pages = "465--467", year = "1993", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Zizi:1993:MIE, author = "Jacqueline Zizi", title = "Math{\'e}matiques, informatique et enseignement", publisher = "Ed. Archim{\`{e}}de, Ed. du Choix", address = "Argenteuil, France", pages = "xxv + 303", year = "1993", ISBN = "2-909028-13-5", ISBN-13 = "978-2-909028-13-2", LCCN = "????", bibdate = "Mon Apr 8 10:31:32 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Derive (Logiciel); Maple (Logiciel); Mathematica (Logiciel)", } @Book{Abell:1994:DEM, author = "Martha L. Abell and James P. Braselton", title = "Differential Equations with {Maple V}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xiv + 684", year = "1994", ISBN = "0-12-041548-8", ISBN-13 = "978-0-12-041548-9", LCCN = "QA371.5.D37A23 1994", bibdate = "Sat Oct 15 12:40:57 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$44.95", acknowledgement = ack-nhfb, } @Book{Abell:1994:MVE, author = "Martha L. Abell and James P. Braselton", title = "{Maple V} by Example", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xii + 500", year = "1994", ISBN = "0-12-041545-3", ISBN-13 = "978-0-12-041545-8", LCCN = "QA76.95 .A212 1994", bibdate = "Wed Aug 30 10:18:34 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$39.95", acknowledgement = ack-nhfb, } @Book{Abell:1994:MVH, author = "Martha L. Abell and James P. Braselton", title = "The {Maple V} Handbook", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, year = "1994", ISBN = "0-12-041542-9", ISBN-13 = "978-0-12-041542-7", LCCN = "QA76.95.A213 1994", bibdate = "Sat Oct 15 12:41:18 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$39.95", acknowledgement = ack-nhfb, } @Book{Adams:1994:AAS, author = "Barry G. Adams", title = "Algebraic Approach to Simple Quantum Systems with Applications to Perturbation Theory", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 451", year = "1994", ISBN = "3-540-57801-3", ISBN-13 = "978-3-540-57801-7", LCCN = "QC174.17.P45 A33 1994", bibdate = "Wed Aug 30 10:02:27 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Allen:1994:CAS, author = "S. Allen and G. J. Fee and A. T. Kachura and F. W. Letniowski and R. G. McLenaghan", title = "Comparison of algorithms for the symbolic computation of the {NP} spin coefficients and curvature components", journal = j-GEN-RELATIVITY-GRAV, volume = "26", number = "1", pages = "21--40", year = "1994", CODEN = "GRGVA8", ISSN = "0001-7701 (print), 1572-9532 (electronic)", ISSN-L = "0001-7701", MRclass = "83-08 (83C60)", MRnumber = "94k:83003", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "General Relativity and Gravitation", journal-URL = "http://link.springer.com/journal/10714", keywords = "Maple", reviewer = "J. B. Griffiths", } @InProceedings{Alonso:1994:FMP, author = "C. Alonso and J. Gutierrez and T. Recio", title = "{FRAC}: a {Maple} Package for Computing in the Rational Function Field $ {K}({X}) $", crossref = "Lopez:1994:MVM", pages = "107--115", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Anonymous:1994:IOM, author = "Anonymous", title = "Introduction: overview of {MAPLE} applications to general relativity", crossref = "MacCallum:1994:ACG", pages = "267--269", year = "1994", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Anonymous:1994:MV, author = "Anonymous", title = "{Maple V} 3.0", journal = j-MACWORLD, volume = "11", number = "10", pages = "73--??", month = oct, year = "1994", CODEN = "MACWEA", ISSN = "0741-8647", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Symbolic computer mathematics.", acknowledgement = ack-nhfb, fjournal = "Macworld", } @Article{Anonymous:1994:PR, author = "Anonymous", title = "Product Reviews", journal = j-COMPUTER, volume = "27", number = "7", pages = "97--??", month = jul, year = "1994", CODEN = "CPTRB4", ISSN = "0018-9162 (print), 1558-0814 (electronic)", ISSN-L = "0018-9162", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Mathematics; Maple; Inventor.", acknowledgement = ack-nhfb, fjournal = "Computer", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2", } @Book{Argabright:1994:CWU, author = "L. N. Argabright and R. C. Busby", title = "Calculus Workbook Using {Maple}", publisher = pub-KENDALL-HUNT, address = pub-KENDALL-HUNT:adr, pages = "????", year = "1994", ISBN = "0-7872-0081-6", ISBN-13 = "978-0-7872-0081-7", bibdate = "Wed Aug 30 09:12:58 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Artino:1994:ECM, author = "C. Q. Artino and J. R. Kolod and B. Evans and J. Johnson", title = "Exploring Calculus with {Maple}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "????", year = "1994", ISBN = "0-471-09703-9", ISBN-13 = "978-0-471-09703-7", bibdate = "Wed Aug 30 09:14:17 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Atzema:1994:MVG, author = "E. Atzema", title = "{Maple V} and Geometrical Optics: Aberration Coefficients in Arbitrary Optical Systems", crossref = "Lopez:1994:MVM", pages = "209--218", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Bauldry:1994:SIM, author = "W. C. Bauldry", title = "({SAT-M0}) An Introduction to {Maple V0T0M} on the {PC}", crossref = "Lum:1994:PFA", pages = "107--113", year = "1994", bibdate = "Sat Aug 17 16:30:23 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Baylis:1994:TMP, author = "William E. Baylis", title = "Theoretical Methods in the Physical Sciences: an introduction to problem solving using {Maple V}", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xvii + 286", year = "1994", ISBN = "0-8176-3715-X", ISBN-13 = "978-0-8176-3715-6", LCCN = "Q183.9 .B39 1994", bibdate = "Thu Dec 28 12:04:51 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.birkhauser.com/Books/baylis/summary.htm", acknowledgement = ack-nhfb, } @Book{Bekker:1994:IEM, author = "Paul A. Bekker and Arjen Merckens and Tom J. Wansbeek", title = "Identification, Equivalent Models, and Computer Algebra", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "ix + 211", year = "1994", ISBN = "0-12-084775-2", ISBN-13 = "978-0-12-084775-4", LCCN = "QA276.8 .B45 1994", bibdate = "Wed Aug 30 09:58:22 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Belair:1994:SBE, author = "Jacques B{\'e}lair and Sue Ann Campbell", title = "Stability and bifurcations of equilibria in a multiple-delayed differential equation", journal = j-SIAM-J-APPL-MATH, volume = "54", number = "5", pages = "1402--1424", year = "1994", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", ISSN-L = "0036-1399", MRclass = "34K15 (34K20 58F36 92C20)", MRnumber = "95j:34100", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Applied Mathematics", journal-URL = "http://epubs.siam.org/siap", keywords = "Maple", reviewer = "Ovide Arino", } @InProceedings{Bertrand:1994:INA, author = "Laurent Bertrand", title = "On the implementation of a new algorithm for the computation of hyperelliptic integrals", crossref = "ACM:1994:IPI", pages = "211--215", year = "1994", bibdate = "Thu Mar 12 08:41:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p211-bertrand/", abstract = "We present an implementation in Maple of a new algorithm for the algebraic function integration problem in the particular case of hyperelliptic integrals. This algorithm is based on the general algorithm of Trager (1984) and on the arithmetic in the Jacobian of hyperelliptic curves of Cantor (1987).", acknowledgement = ack-nhfb, affiliation = "Lab. d'Arithmetique, Calcul Formel et Optimisation, Limoges Univ., France", classification = "B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4160 (Numerical integration and differentiation); C4180 (Integral equations); C7310 (Mathematics computing)", keywords = "Algebraic function integration problem; algorithms; Hyperelliptic curves; Hyperelliptic integrals; Maple; theory", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials.", thesaurus = "Elliptic equations; Integral equations; Integration; Symbol manipulation", } @InProceedings{Bilonick:1994:UMD, author = "R. A. Bilonick", title = "Using {Maple} to Design a Complex Mixture Experiment", crossref = "Lopez:1994:MVM", pages = "228--234", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Book{Blachman:1994:MVP, author = "Nancy Blachman and Michael J. Mossinghoff", title = "{Maple V}, a Practical Approach", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", month = mar, year = "1994", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:37:09 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Blachman:1994:MVQ, author = "Nancy Blachman and Michael J. Mossinghoff", title = "{Maple V} Quick Reference", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xiii + 522", year = "1994", ISBN = "0-534-20478-3", ISBN-13 = "978-0-534-20478-5", LCCN = "QA76.95 .B52 1994", bibdate = "Sat Mar 09 09:35:31 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "maple (computer file); mathematics -- data processing", } @Article{Bragg:1994:AAS, author = "L. R. Bragg and B. Cahlon", title = "Analytic approximation of solutions of differential equations", journal = j-COMPLEX-VARIABLES-THEORY-APPL, volume = "26", number = "1-2", pages = "11--40", year = "1994", CODEN = "CVTADV", ISSN = "0278-1077", ISSN-L = "0278-1077", MRclass = "34A45 (34-04)", MRnumber = "95j:34019", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Complex variables, theory and application", keywords = "Maple", } @InProceedings{Brown:1994:BCI, author = "R. C. Brown and Man Kam Kwong", booktitle = "Inequalities and applications", title = "On the best constant for the inequality $ \int^\infty_0 y^{\prime 2} \leq {K}(\int^\infty_0 \vert y \vert) \max_{(0, \infty)} \vert y'' \vert $", volume = "3", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "103--121", year = "1994", MRclass = "26D10 (34A40)", MRnumber = "95m:26032", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "World Sci. Ser. Appl. Anal.", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "V, Raghavendra", } @Article{Brown:1994:RDN, author = "B. M. Brown and M. S. P. Eastham and W. D. Evans and V. G. Kirby", title = "Repeated diagonalization and the numerical computation of the {Titchmarsh-Weyl} $ m(\lambda) $-function", journal = j-PROC-ROY-SOC-LONDON-SER-A, volume = "445", number = "1923", pages = "113--126", year = "1994", MRclass = "34B24 (34A45 47E05)", MRnumber = "95c:34046", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "J. K. Shaw", } @Book{Burkhardt:1994:ESM, author = "Werner Burkhardt", title = "{Erste Schritte mit Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "1994", ISBN = "3-540-56649-X", ISBN-13 = "978-3-540-56649-6", bibdate = "Wed Aug 30 09:20:26 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Burkhardt:1994:FSM, author = "Werner Burkhardt", title = "First Steps in {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 118", year = "1994", ISBN = "0-387-19874-1 (New York), 3-540-19874-1 (Berlin)", ISBN-13 = "978-0-387-19874-3 (New York), 978-3-540-19874-1 (Berlin)", LCCN = "QA76.95 .B86713 1994", bibdate = "Tue Jun 06 18:02:22 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$19.95", acknowledgement = ack-nhfb, } @Article{Cairo:1994:ICT, author = "L. Cair{\'o} and D. D. Hua and M. R. Feix", title = "Invariants for a cubic three-wave system", journal = j-J-PHYS-A, volume = "27", number = "15", pages = "L547--L551", year = "1994", CODEN = "JPHAC5", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "58F25 (34A34 35Q99 58-04)", MRnumber = "95h:58113", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", journal-URL = "http://iopscience.iop.org/0305-4470", keywords = "Maple", reviewer = "Jean Moulin Ollagnier", } @Article{Campbell:1994:PGN, author = "S. L. Campbell and E. Moore", title = "Progress on a general numerical method for nonlinear higher index {DAEs}. {II}", journal = j-CSSP, volume = "13", number = "2-3", pages = "123--138", month = "", year = "1994", CODEN = "CSSPEH", ISSN = "0278-081X (print), 1531-5878 (electronic)", ISSN-L = "0278-081X", bibdate = "Mon Sep 30 05:24:55 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", classification = "C1110 (Algebra); C1120 (Analysis); C4140 (Linear algebra); C4170 (Differential equations); C7310 (Mathematics)", fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", keywords = "Differential algebraic equations; FORTRANS; MAPLE; Nonlinear DAE derivative arrays; Numerical method", thesaurus = "Algebra; Mathematics computing; Nonlinear differential equations; Numerical analysis; Symbol manipulation", } @InProceedings{Chan:1994:DAP, author = "K. C. Chan and A. Diaz and E. Kaltofen", title = "A Distributed Approach to Problem Solving in {Maple}", crossref = "Lopez:1994:MVM", pages = "13--21", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Char:1994:AIT, author = "Bruce W. Char and Mark F. Russo", title = "Automatic identification of time scales in enzyme kinetics models", crossref = "ACM:1994:IPI", pages = "74--83", year = "1994", bibdate = "Thu Mar 12 08:41:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p74-char/", abstract = "Many chemical reaction systems studied in the pharmaceutical industry have phenomena that occur on two or more vastly different time scales. When modeling the chemical reaction system as ordinary differential equations, if a small parameter $E$ can be identified then one can isolate the behavior of the system on long and short time scales using singular perturbation theory. In practice, the small parameter is discovered using knowledge about the chemical reaction system that is not necessarily contained in the mathematics of the model. If a small parameter cannot be easily identified, then the approach is typically abandoned. The authors present a procedure that derives algebraic expressions for dual time scales in mathematical models of chemical reaction systems. Unlike conventional practice, this derivation proceeds using only information contained in the model, without knowledge of a small parameter derived through external considerations. The authors' procedure, Scales, is based on rules that arise from the `art and practice' of applying the quasi-steady-state assumption to derive the Michaelis-Menton equations. The authors depart from standard practice of singular perturbation theory, using instead the viewpoint of Segel and Slemrod (1989). They have implemented Scales in Maple. Scales is closer to an `expert system' than a `scale oracle' or decision procedure. Its shortcomings necessitate subsequent verification of its results, typically through numerical or laboratory experimentation. If validated, additional computer algebra techniques can be used to simplify the mathematical model and isolate the long time scale behavior.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. and Comput. Sci., Drexel Univ., Philadelphia, PA, USA", classification = "A8220W (Computational modelling of chemical kinetics); A8230V (Homogeneous catalysis); A8240 (Chemical kinetics and reactions: special regimes); A8715D (Physical chemistry of biomolecular solutions; C1220 (Simulation, modelling and identification); C4170 (Differential equations); C6170 (Expert systems); C7320 (Physics and chemistry computing); C7450 (Chemical engineering computing); condensed states)", keywords = "Algebraic expression; algorithms; Automatic identification; Biochemistry; Biology computing; Catalysis; Chemical kinetics model; Chemical reaction; Dual time scale; Enzyme; Maple; Mathematical model; Metabolism; Michaelis-Menton equations; Ordinary differential equations; Pharmaceutical; Reaction kinetics; Scales; Singular perturbation theory; Time scale; verification", subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf J.2} Computer Applications, PHYSICAL SCIENCES AND ENGINEERING, Chemistry. {\bf G.1.7} Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems. {\bf G.1.4} Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation.", thesaurus = "Chemical engineering computing; Differential equations; Identification; Knowledge based systems; Pharmaceutical industry; Proteins; Reaction kinetics theory; Scaling phenomena; Symbol manipulation", } @Article{Cheb-Terrab:1994:MPP, author = "E. S. Cheb-Terrab", title = "{Maple} procedures for partial and functional derivatives", journal = j-COMP-PHYS-COMM, volume = "79", number = "3", pages = "409--424", month = may, year = "1994", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "65-04", MRnumber = "MR1275256", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "A package with new Maple V commands for the evaluation of partial derivatives, functional derivatives and integrals containing the Dirac delta function is presented. Some examples of the use of these commands in physics are shown.", acknowledgement = ack-nhfb, affiliation = "Universidade do Estado do Rio de Janeiro", affiliationaddress = "Rio de Janeiro, Braz", classification = "723.5; 921.2; 931", fjournal = "Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "Computational methods; Computer programming languages; Computer software; Dirac delta function; Function evaluation; Functional derivatives; Integral equations; Integration; Maple V (programming language); Natural sciences computing; Partial derivatives; Physics; Subroutines", } @InProceedings{Chen:1994:ASE, author = "Chungmin Melvin Chen and Nick Roussopoulos", title = "Adaptive selectivity estimation using query feedback", crossref = "Snodgrass:1994:PAS", pages = "161--172", year = "1994", bibdate = "Wed Oct 25 12:40:13 MDT 2000", bibsource = "http://www.acm.org/pubs/contents/proceedings/series/sigmod_pods/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org/pubs/articles/proceedings/mod/191839/p161-chen/p161-chen.pdf; http://www.acm.org/pubs/citations/proceedings/mod/191839/p161-chen/", abstract = "In this paper, we propose a novel approach for estimating the record selectivities of database queries. The real attribute value distribution is adaptively approximated by a curve-fitting function using a query feedback mechanism. This approach has the advantage of requiring no extra database access overhead for gathering statistics and of being able to continuously adapt the value distribution through queries and updates. Experimental results show that the estimation accuracy of this approach is comparable to traditional methods based on statistics gathering.", acknowledgement = ack-nhfb, generalterms = "Algorithms; Experimentation; Performance", subject = "Information Systems --- Database Management --- Systems (H.2.4): {\bf Query processing}; Computing Methodologies --- Symbolic and Algebraic Manipulation --- Languages and Systems (I.1.3): {\bf Maple}; Mathematics of Computing --- Numerical Analysis --- Numerical Linear Algebra (G.1.3)", } @Book{Cheung:1994:MCM, author = "C. K. Cheung and John Harer", title = "Multivariable Calculus with {Maple V}", publisher = pub-JW, address = pub-JW:adr, edition = "Preliminary", pages = "xiv + 366", year = "1994", ISBN = "0-471-59835-6", ISBN-13 = "978-0-471-59835-0", bibdate = "Wed Aug 10 11:22:24 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Corless:1994:SAC, author = "Robert M. Corless", title = "Sufficiency analysis for the calculus of variations", crossref = "ACM:1994:IPI", pages = "197--204", year = "1994", bibdate = "Thu Mar 12 08:41:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p197-corless/", abstract = "Many of the computations in the calculus of variations are algebraic in nature: computing the Euler--Lagrange equations and solving them, for example. However, deciding whether or not the computed extremals provide minima or maxima is an analytic problem, and one that has not been previously attempted in a computer algebra package. I describe here a Maple implementation of some techniques for making these decisions, and detail some successes and failures. Some of the failures point to areas where computer algebra systems could be improved.", acknowledgement = ack-nhfb, affiliation = "Dept. of Appl. Math., Univ. of Western Ontario, London, Ont., Canada", classification = "C6130 (Data handling techniques); C7310 (Mathematics computing)", keywords = "algorithms; Calculus of variations; Computer algebra package; Computer algebra systems; Euler--Lagrange equations; Maple implementation; Sufficiency analysis; theory", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Special-purpose algebraic systems.", thesaurus = "Mathematics computing; Symbol manipulation", } @InProceedings{Corless:1994:SBL, author = "R. M. Corless and K. El-Sawy", title = "Solution of Banded Linear Systems of Equations in {Maple} Using {$ L U $} Factorization", crossref = "Lopez:1994:MVM", pages = "219--227", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Article{Cowan:1994:FLM, author = "Richard Cowan and Albert K. L. Tsang", title = "The falling-leaves mosaic and its equilibrium properties", journal = j-ADV-APPL-PROB, volume = "26", number = "1", pages = "54--62", year = "1994", CODEN = "AAPBBD", ISSN = "0001-8678 (print), 1475-6064 (electronic)", ISSN-L = "0001-8678", MRclass = "60D05 (52A22)", MRnumber = "94i:60013", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Advances in Applied Probability", journal-URL = "http://www.jstor.org/journals/00018678.html; http://projecteuclid.org/euclid.aap/", keywords = "Maple", } @Article{Cox:1994:ACA, author = "Hazel Cox and Stephen J. Smith and Brian T. Sutcliffe", title = "Application of the computer algebra system {Maple} for calculations on atomic and molecular systems", journal = j-COMP-PHYS-COMM, volume = "84", number = "1-3", pages = "186--200", month = nov, year = "1994", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This paper presents a discussion of some programs written in the computer algebra language Maple and in the C language for solving the body-fixed Schroedinger equation for three particles with Coulomb interaction in perimetric coordinates by means of a series solution.", acknowledgement = ack-nhfb, affiliation = "Univ of York", affiliationaddress = "York, UK", classification = "723.1; 723.1.1; 921.1; 921.5; 921.6; 931.3", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "Mathematical programming; Elementary particles; Computational methods; Matrix algebra; Atomic physics; Molecular physics; C (programming language); Codes (symbols); High level languages; Maple (programming language); Coulomb interaction; Perimetric coordinates; Body fixed Schr{\"o}dinger equation; Series solution; Three particle systems; Algebraic programming language", } @Article{Crow:1994:CMK, author = "John Crow and Herb Holden and Marvin Margolis", title = "Computers and Mathematics: {Keith Devlin}", journal = j-NAMS, volume = "41", number = "3", pages = "195--201", month = mar, year = "1994", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Three software reviews make up this month's column. John Crow concentrates on Maple in the first of a two-installment comparison of Maple and Macsyma computer algebra systems. Next, Herb Holden reports on X(PLORE). Finally, Marvin Margolis takes a look at the mathematical graphics system MG.", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Crow:1994:TSR, author = "John Crow and Mario Vassallo and Gustaf Gripenberg", title = "Three software reviews comprise this month's column. {John Crow} presents the second installment of his two-part comparative review of {Maple} and {Macsyma}. {Mario Vassallo} reports on his experiences with Spreadsheets and Mathematics. {Gustaf Gripenberg} takes a look at {MAX}", journal = j-NAMS, volume = "41", number = "4", pages = "299--306", month = apr, year = "1994", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @InProceedings{Curran:1994:UMM, author = "D. A. S. Curran and W. Middleton", title = "Using {Maple} in a Mathematical Modelling Course", crossref = "Ersoy:1994:MMC", pages = "33--58", year = "1994", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Decker:1994:CM, author = "R. Decker", title = "Calculus and {Maple}", publisher = pub-PH, address = pub-PH:adr, pages = "????", year = "1994", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:45:00 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Devlin:1994:CMa, author = "Keith Devlin", title = "Computers and Mathematics", journal = j-NAMS, volume = "41", number = "3", pages = "195--??", month = mar, year = "1994", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Three software reviews make up this month's column. John Crow concentrates on Maple in the first of a two-installment comparison of Maple and Macsyma computer algebra systems. Next, Herb Holden reports on X(PLORE). Finally, Marvin Margolis takes a look at the mathematical graphics system MG.", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Devlin:1994:CMb, author = "Keith Devlin", title = "Computers and Mathematics", journal = j-NAMS, volume = "41", number = "6", pages = "611--??", month = jul, year = "1994", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This month's column begins with an article by George Gratzer describing a new version of LATEX. Then Marvin Margolis reviews the software Scientific Programmer's Toolkit, and Gustaf Gripenberg reviews Converge. Next Susan Fischel describes teaching with Computational Laboratories in Number Theory. Lastly, two of the developers of Maple software note some corrections to a previous review.", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @InProceedings{Dorn:1994:SSC, author = "R. T. Dorn and R. J. Soukup", title = "Solution of the Solar Cell Transport Equations Using {Maple}", crossref = "Lopez:1994:MVM", pages = "90--96", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Book{Edwards:1994:CUM, author = "C. H. {Edwards, Jr.} and David E. Penney", title = "Calculus Using {Maple}", publisher = pub-PH, address = pub-PH:adr, pages = "????", year = "1994", ISBN = "0-13-458282-9", ISBN-13 = "978-0-13-458282-5", bibdate = "Wed Aug 30 09:22:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Ellis:1994:MVM, author = "W. Ellis and E. Johnson and E. Lodi and D. Schwalbe", title = "{Maple V in der mathematischen Anwendung (f{\"u}r Release 2 und 3)}", publisher = pub-ITCP, address = pub-ITCP:adr, pages = "????", year = "1994", ISBN = "3-929821-21-4", ISBN-13 = "978-3-929821-21-5", bibdate = "Sat Dec 16 16:52:06 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Farr:1994:MLP, author = "W. W. Farr and M. VanGeel", title = "{Maple} Labs and Programs for Calculus", crossref = "Lopez:1994:MVM", pages = "159--166", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Fitz-Gerald:1994:EMC, author = "G. F. Fitz-Gerald and W. P. Healy", title = "Enlivening the Mathematics Curriculum with {Maple}", crossref = "Lopez:1994:MVM", pages = "71--80", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Book{Fowkes:1994:IMM, author = "Neville D. Fowkes and John J. Mahony", title = "An Introduction to Mathematical Modelling", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xvi + 447", year = "1994", ISBN = "0-471-93422-4 (hardcover), 0-471-94309-6 (softcover)", ISBN-13 = "978-0-471-93422-6 (hardcover), 978-0-471-94309-9 (softcover)", LCCN = "QA401 .F68 1994", MRclass = "00A71 (00A69 00A79 70-01 73-01 93A30)", MRnumber = "95g:00014", bibdate = "Thu Dec 28 10:32:41 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "John Adam", } @InProceedings{Frempong-Mireku:1994:KWV, author = "P. Frempong-Mireku and K. J. K. Moriarty", title = "{Kramers} and {Wannier} {V-Matrices} for the Partition Functions of the {Ising} Model", crossref = "Lopez:1994:MVM", pages = "97--104", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Fulton:1994:CMH, author = "S. R. Fulton", title = "Can {Maple} Help in Teaching Calculus with Limited Time and Staff?", crossref = "Lopez:1994:MVM", pages = "63--70", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Article{Geck:1994:CVI, author = "Meinolf Geck", title = "On the character values of {Iwahori-Hecke} algebras of exceptional type", journal = j-PROC-ROY-SOC-LONDON-SER-A, volume = "68", number = "1", pages = "51--76", year = "1994", MRclass = "20F55 (20C15)", MRnumber = "94i:20073", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Fran{\c{c}}ois Digne", } @Book{Gerald:1994:ANA, author = "Curtis F. Gerald and Patrick O. Wheatley", title = "Applied numerical analysis", publisher = pub-AW, address = pub-AW:adr, edition = "Fifth", pages = "various", year = "1994", ISBN = "0-201-56553-6", ISBN-13 = "978-0-201-56553-9", LCCN = "QA 297 G47 1994", bibdate = "Sat Mar 9 08:21:34 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Article{Govindarajulu:1994:AEA, author = "Z. Govindarajulu and H. C. Howard", title = "Asymptotic expansions applied to $ {F} $-test criteria", journal = j-AUSTRALIAN-J-STAT, volume = "36", number = "1", pages = "101--113", year = "1994", CODEN = "AUJSA3", ISSN = "0004-9581", MRclass = "62L10", MRnumber = "95i:62069", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Australian journal of statistics", keywords = "Maple", } @InProceedings{Gray:1994:MPE, author = "Simon Gray and Norbert Kajler and Paul Wang", title = "{MP}: a protocol for efficient exchange of mathematical expressions", crossref = "ACM:1994:IPI", pages = "330--335", year = "1994", bibdate = "Thu Mar 12 08:41:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p330-gray/", abstract = "The Multi Protocol (MP) is designed for integrating symbolic, numeric, graphics, document processing, and other tools for scientific computation, into a single distributed problem-solving environment. MP is layered, reflecting the logically distinct aspects of tool integration. Data representation issues are addressed by specifying a set of basic data types and a mechanism for constructing non-basic types. MP passes all data in the form of annotated parse trees. The parse tree provides a simple, flexible and tool-independent way to represent and exchange data, and annotations provide a powerful and generic expressive facility for transmitting additional information. MP also provides efficient encodings for numeric data and includes different types of optimizations to reduce the cost of exchanging data. The optimizations are important when transmitting large expressions typically encountered in symbolic and numeric computation. MP is extensible. Users can define additional sets of operators and annotations as well as tailor the generic optimization mechanisms to efficiently encode their own data structures. A clear distinction between MP-defined and user-defined definitions is enforced.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. and Comput. Sci., Kent State Univ., OH, USA", classification = "C1180 (Optimisation techniques); C4210L (Formal languages and computational linguistics); C5640 (Protocols); C6115 (Programming support); C6120 (File organisation); C6130B (Graphics techniques); C6130D (Document processing techniques); C6150N (Distributed systems software); C6170K (Knowledge engineering techniques); C7310 (Mathematics computing)", keywords = "algorithms; Annotated parse trees; Annotations; Basic data types; Data exchange cost reduction; Data representation issues; design; Distributed problem-solving environment; Document processing; Efficient encodings; Efficient mathematical expression exchange; Generic optimization mechanisms; Graphics; languages; Large expression transmission; Layered; MP protocol; Multi Protocol; Nonbasic types; Numeric processing; Operators; performance; Scientific computation; Symbolic processing; Tool integration", subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Special-purpose algebraic systems. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language Classifications, C. {\bf D.2.2} Software, SOFTWARE ENGINEERING, Design Tools and Techniques.", thesaurus = "Computer graphics; Distributed processing; Document handling; Grammars; Mathematics computing; Natural sciences computing; Optimisation; Problem solving; Protocols; Software tools; Symbol manipulation; Tree data structures", } @InProceedings{Grotendorst:1994:SCP, author = "J. Grotendorst and J. Dornseiffer and S. M. Schoberth", title = "Symbolic-Numeric Computations for Problem-Solving in Physical Chemistry and Biochemistry", crossref = "Lopez:1994:MVM", pages = "131--140", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @TechReport{Grotendorst:1994:SCT, author = "Johannes Grotendorst and Juergen Dornseiffer and Siegfried M. Schoberth", title = "Symbolic-numeric computation techniques for problem-solving in Physical Chemistry and Biochemistry", number = "KFA-ZAM-IB-9414", institution = "KFA Research Centre, J{\"{u}}lich", address = "J{\"{u}}lich, Germany", pages = "9", year = "1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; Techreports/kfa-research-centre-juelich.bib", URL = "ftp://ftp.zam.kfa-juelich.de/pub/zamdoc/ib/ib-94/ib-9414.ps", abstract = "The combination of symbolic and numeric computation techniques leads to new approaches for problem-solving in areas of applied mathematics and science. It is shown, in examples from Physical Chemistry and Biochemistry, how the use of a modern computer algebra system such as Maple enables an automatic and computerized solution of problems in ways that are not possible with conventional computing systems. In our first example we study the thermodynamic behavior of steam reforming reactions and determine the temperature and pressure dependence of the chemical compositions at equilibrium. Using Maple's symbolic computation capabilities a system of nonlinear equations for the reaction extents is derived. For the fast numerical solution of the nonlinear equations the Newton--Raphson algorithm is applied. A FORTRAN preprocessor in Maple calculates the Jacobian matrix needed for this algorithm and generates a complete and ready-to-compile FORTRAN program. In the second example we demonstrate how the McConnell equations in Biochemistry, a linear inhomogeneous system of differential equations with constant coefficients, can be solved analytically in a direct way by using Maple's symbolic linear algebra routines. In addition, the automatic generation of numerical code for the determination of the formal parameters involved in the solutions is described.", } @Article{Gruntz:1994:IG, author = "D. Gruntz and M. Monagan", title = "Introduction to {Gauss}", journal = j-SIGSAM, volume = "28", number = "2", pages = "3--19", month = aug, year = "1994", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Tue Dec 12 09:33:35 MST 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The Gauss package offers Maple users a new approach to programming based on the idea of parameterized types (domains) which is central to the AXIOM system. This approach to programming is now regarded by many as the right way to go in computer algebra systems design. We describe how Gauss is designed and show examples of usage. We end with some comments about how Gauss is being used in Maple.", acknowledgement = ack-nhfb, affiliation = "Inst. for Sci. Comput., Eidgenossische Tech. Hochschule, Zurich, Switzerland", classification = "C6110 (Systems analysis and programming); C6130 (Data handling techniques); C7310 (Mathematics computing)", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "AXIOM system; Computer algebra systems design; Gauss package; Maple users; Parameterized types; Programming", pubcountry = "USA", thesaurus = "Programming environments; Software packages; Symbol manipulation; Systems analysis; Type theory", } @InProceedings{Hardy:1994:MLC, author = "D. W. Hardy", title = "{Maple} Labs and Calculus at {Colorado State}", crossref = "Lum:1994:PFA", pages = "773--776", year = "1994", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Harms:1994:NRM, author = "D. D. Harms and J. S. Devitt and C. J. Colbourn", title = "Networks and Reliability in {Maple}", crossref = "Dean:1994:CSD", pages = "223--244", year = "1994", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Helton:1994:CSE, author = "J. W. Helton and M. Stankus and J. Wavrik", editor = "{IEEE}", booktitle = "Proceedings of the 33rd IEEE Conference on Decision and Control, 14--16 December 1994", title = "Computer simplification of engineering systems formulas", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "4252 (4 volumes)", pages = "1893--1898", year = "1994", ISBN = "0-7803-1968-0", ISBN-13 = "978-0-7803-1968-4", LCCN = "TJ217 .I11c 1994", bibdate = "Thu Jul 26 05:40:49 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; IEEE Xplore database", note = "IEEE catalog number 94CH3460-3.", acknowledgement = ack-nhfb, keywords = "MACSYMA; Maple; Mathematica", } @Article{Hench:1994:SMA, author = "D. L. Hench", title = "Software for mathematical analysis", journal = j-WESCON-CONF-REC, pages = "258--263", year = "1994", CODEN = "WCREDI", ISSN = "1044-6036, 0083-8837", bibdate = "Fri May 24 09:57:04 MDT 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "An important type of software package that belongs in the engineering workplace is a mathematical analysis package. Popular packages include MATLAB, Mathematica, Mathcad and Maple V. The various packages are compared and contrasted here with regard to the insight that they can provide for a topic of current interest. The selected topic is cosine-transform data-compression as specified in the MPEG standard for video data compression. This problem is first introduced and the outputs of the various packages are shown with an emphasis on the insight to the problem that can be gained by using an approach that is natural to the software package under consideration.", acknowledgement = ack-nhfb, affiliation = "Imaging Systems Application Co", affiliationaddress = "Orange, CA, USA", classification = "723; 723.1; 723.2; 723.5; 741.2; 921.6", conference = "Proceedings of the 1994 Wescon Conference", fjournal = "WESCON Conference Record", journalabr = "Wescon Conf Rec", keywords = "Calculations; Computer aided software engineering; Computer graphics; Computer software; Computer vision; Data processing; Discrete cosine transform; Image compression; Linear algebra; Maple V; Mathcad; Mathematica; Mathematical analysis; Motion picture expert group standard; Number theory; Numerical analysis; Optimization; Software packages; Statistics; Subroutines; Video data compression", meetingaddress = "Anaheim, CA, USA", meetingdate = "Sep 27--29 1994", meetingdate2 = "09/27--29/94", sponsor = "IEEE; ERA", } @Book{Hostetler:1994:IC, author = "D. Hostetler and E. Larson", title = "Interactive Calculus", publisher = pub-HEATH, address = pub-HEATH:adr, pages = "????", year = "1994", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:51:26 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Ikle:1994:EDS, author = "M. Ikl{\'e}", title = "Exact $ (1 + 1) $-dimensional solutions to a discrete velocity model for coagulation-fragmentation", journal = j-MATH-MODELS-METHODS-APPL-SCI, volume = "4", number = "6", pages = "857--869", year = "1994", CODEN = "MMMSEU", ISSN = "0218-2025 (print), 1793-6314 (electronic)", MRclass = "82C40 (76P05)", MRnumber = "95k:82028", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical models and methods in applied sciences", journal-URL = "http://www.worldscientific.com/worldscinet/m3as", keywords = "Maple", reviewer = "Giuseppe Toscani", } @Article{Ioakimidis:1994:AGB, author = "N. I. Ioakimidis and E. G. Anastasselou", title = "Application of {Gr{\"o}bner} bases to problems of movement of a particle", journal = j-COMPUT-MATH-APPL, volume = "27", number = "3", pages = "51--57", month = feb, year = "1994", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", MRclass = "70-04 (70B99 70D99 70F05)", MRnumber = "94i:70003", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/0898122194900469", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", keywords = "Maple", } @Article{Ioakimidis:1994:DEC, author = "Nikolaos I. Ioakimidis and Eleni G. Anastasselou", title = "Derivation of the equation of caustics in {Cartesian} coordinates with {Maple}", journal = j-ENG-FRACTURE-MECH, volume = "48", number = "1", pages = "147--149 (or 147--150??)", month = may, year = "1994", CODEN = "EFMEAH", ISSN = "0013-7944 (print), 1873-7315 (electronic)", ISSN-L = "0013-7944", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The well-known equation of caustics about crack tips in experimental fracture mechanics is usually expressed in the form of two equations for the Cartesian coordinates (x,y) with a parameter (an appropriate polar angle playing the role of this parameter). Here we derive the equivalent unique equation (but without a parameter) also in Cartesian coordinates with the help of the computer algebra system Maple V by using the available Gr{\"o}bner-bases algorithm. The obtained Cartesian equation is of the sixth degree and it can be solved in closed form with respect to y yielding an explicit result y $=$ y(x). The same equation is also checked in two special cases, where it gives the same results as the equivalent pair of parametric equations. Analogous, more general results can also be derived.", acknowledgement = ack-nhfb, affiliation = "Univ of Patras", affiliationaddress = "Patras, Greece", classification = "421; 722.4; 723.1; 921.1; 921.6; 931.1", conferenceyear = "1994", fjournal = "Engineering fracture mechanics", journalabr = "Eng Fract Mech", keywords = "Fracture mechanics; Cracks; Computer systems; Algebra; Algorithms; Elasticity; Computer software; Equation of caustics; Cartesian coordinates; Equivalent unique equation; Gr{\"o}bner bases algorithm; Cartesian equation; Parametric equation; Software package --- Gr{\"o}bner; Maple V computer system", } @Article{Ioakimidis:1994:GBT, author = "N. I. Ioakimidis and E. G. Anastasselou", title = "{Gr{\"o}bner} bases in truss problems with {Maple}", journal = j-COMP-STRUCTURES, volume = "52", number = "5", pages = "1093--1096", month = sep, year = "1994", CODEN = "CMSTCJ", ISSN = "0045-7949 (print), 1879-2243 (electronic)", ISSN-L = "0045-7949", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The well-known method of Gr{\"o}bner bases in computer algebra can be used in elementary truss problems, where the appearance of sine and cosine terms because of the angles of the bars of the truss to the Ox-axis (beyond the magnitudes of the forces in these bars) make the problem nonlinear. A simple truss is used for an illustration of the method during the determination of two angles in such a way that the forces in two bars have values given in advance. Similarly, it is observed, again by using Gr{\"o}bner bases, that the force equations at each joint of a loaded truss and the equation for the reactions of the truss are compatible. The whole approach seems to be one more application of Gr{\"o}bner bases related to their applications in nonlinear computational geometry. The computer algebra system Maple V has been used in the present application of Gr{\"o}bner bases.", acknowledgement = ack-nhfb, affiliation = "Univ of Patras", affiliationaddress = "Patras, Greece", classification = "408.1; 408.2; 721.1; 723.5; 921.1; 921.6", fjournal = "Computers and Structures", journal-URL = "http://www.sciencedirect.com/science/journal/00457949", journalabr = "Comput Struct", keywords = "Structural analysis; Trusses; Algorithms; Nonlinear equations; Vectors; Boolean algebra; Computer aided analysis; Gr{\"o}bner bases; Software package Maple V", } @Article{Ioakimidis:1994:SCS, author = "N. I. Ioakimidis", title = "Symbolic computations for the solution of inverse\slash design problems with {Maple}", journal = j-COMP-STRUCTURES, volume = "53", number = "1", pages = "63--68", month = oct, year = "1994", CODEN = "CMSTCJ", ISSN = "0045-7949 (print), 1879-2243 (electronic)", ISSN-L = "0045-7949", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Symbolic computations during the solution of applied mechanics problems permit the derivation of results of general validity with respect to the parameter(s) used. Here this approach is generalized to the cases when, beyond possible linear equations, nonlinear polynomial equations appear also in the exact\slash approximate methods used. The cases of three elementary inverse\slash design torsion problems in classical isotropic elasticity, where the dimensions of the cross-section of the bar should be determined if the torque and the maximum shear stress are known in advance, are used for the illustration of the method, which leads to a polynomial equation with respect to the fundamental unknown variable. The computer algebra system Maple V and the Gr{\"o}bner bases method are used for the derivation of the present results. Finally, several serious factors influencing the computations in the present method, which generally requires a large amount of symbolic computations, are considered in some detail.", acknowledgement = ack-nhfb, affiliation = "Univ of Patras", affiliationaddress = "Patras, Greece", classification = "408.1; 421; 723.5; 921.1; 921.6; 931.1", fjournal = "Computers and Structures", journal-URL = "http://www.sciencedirect.com/science/journal/00457949", journalabr = "Comput Struct", keywords = "Structural analysis; Computational methods; Mechanics; Torsional stress; Shear stress; Elasticity; Inverse problems; Polynomials; Algorithms; Computer aided analysis; Stress analysis; Parameter estimation; Mathematical models; Symbolic computations; Software package Maple V; Elementary inverse/design torsion problems; Gr{\"o}bner bases method; Computer algebra; Gaussian elimination", } @Article{Jerosolimski:1994:NMF, author = "M. Jerosolimski and L. Levacher", title = "New method for fast calculation of {Jacobian} matrices: Automatic differentiation for power system simulation", journal = j-IEEE-TRANS-POWER-SYSTEMS, volume = "9", number = "2", pages = "700--706", month = may, year = "1994", CODEN = "ITPSEG", ISSN = "0885-8950 (print), 1558-0679 (electronic)", ISSN-L = "0885-8950", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Many numerical methods used in power system simulation require the computation of Jacobian matrices. This being particularly true for implicit integration algorithms, and not for explicit ones. These computations often take a significant proportion of the overall CPU time. This paper presents an application of the automatic differentiation method which results in large savings in the computation of Jacobian matrices. An original application of this method is in a software which simulates power systems dynamics. As the program enables the users to introduce their own models, automatic differentiation becomes particularly efficient. In comparison with numerical differentiation, it leads to a saving of 80\% of the time required for the computation of the Jacobian matrices and up to 28\% of the total CPU time. Automatic differentiation is a very efficient method which should be valuable to other power system software, in particular those which offer users the possibility of defining their own models.", acknowledgement = ack-nhfb, affiliation = "Electricit{\'e} de France", affiliationaddress = "Clamart, Fr", classification = "703.1.1; 706.1; 723.5; 921.1; 921.2; 921.6", conferenceyear = "1994", fjournal = "IEEE Transactions on Power Systems", journalabr = "IEEE Trans Power Syst", keywords = "Algorithms; Computational methods; Computer aided network analysis; Computer simulation; Computer software; Differentiation (calculus); Electric power systems; Function evaluation; Integration; Jacobian matrices; Mathematical models; Matrix algebra; Numerical derivative; Power system simulation; Software package Macsyma; Software package Maple; Software package Reduce; User defined models; User interfaces", publisherinfo = "IEEE Service Center", } @Book{Kaiser:1994:FGW, author = "Gerald Kaiser", title = "A Friendly Guide to Wavelets", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xiv + 300", year = "1994", ISBN = "0-8176-3711-7", ISBN-13 = "978-0-8176-3711-8", LCCN = "QA403.3.K35 1994", bibdate = "Thu Dec 28 11:54:46 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$39.50", URL = "http://www.birkhauser.com/Books/kaiser/summary.htm", acknowledgement = ack-nhfb, } @InProceedings{Kneppers:1994:IML, author = "H. A. W. M. Kneppers", title = "The Influence of {Maple} on a Linear Algebra Course at the {Delft University of Technology}", crossref = "Lopez:1994:MVM", pages = "57--62", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Article{Koekoek:1994:DES, author = "Roelof Koekoek", title = "Differential equations for symmetric generalized ultraspherical polynomials", journal = j-TRANS-AMS, volume = "345", number = "1", pages = "47--72", year = "1994", MRclass = "33C45 (34B24 34L10)", MRnumber = "95b:33021", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Lance L. Littlejohn", } @Book{Kofler:1994:MVRa, author = "M. Kofler", title = "{Maple V} Release 2", publisher = pub-AW, address = pub-AW:adr, pages = "????", year = "1994", ISBN = "3-89319-635-8", ISBN-13 = "978-3-89319-635-7", bibdate = "Wed Aug 30 09:33:58 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Kofler:1994:MVRb, author = "M. Kofler", title = "{Maple V} Release 3", publisher = pub-AW, address = pub-AW:adr, pages = "????", year = "1994", ISBN = "3-89319-765-6", ISBN-13 = "978-3-89319-765-1", bibdate = "Wed Aug 30 09:33:58 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Contains a CD-ROM with examples and a Maple demo disk.", acknowledgement = ack-nhfb, } @InProceedings{Kohl:1994:GRH, author = "T. Kohl", title = "Group Rings and {Hopf-Galois} Theory in {Maple}", crossref = "Lopez:1994:MVM", pages = "116--121", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Article{Kouchakpour:1994:SCR, author = "Peyman Kouchakpour and Albert Y. Zomaya", title = "Symbolic computation of robot dynamic parameters", journal = j-CYBERNETICS-SYSTEMS, volume = "25", number = "5", pages = "697--727", month = sep # "--" # oct, year = "1994", CODEN = "CYSYDH", ISSN = "0196-9722 (print), 1087-6553 (electronic)", ISSN-L = "0196-9722", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Optimal performance of robot manipulators can be achieved only by utilizing advanced control algorithms. However, precise control of robot motion requires the use of accurate dynamic models, which are very complicated due to varying arm geometric configuration, uncertain effects of load handling on the dynamic stability of the arm, and the high degree of nonlinearity and coupling exhibited between different links. Therefore, an efficient and fast method for on-line tuning of robot dynamic parameters must be devised. In this work a simplified model based on Lagrange--Euler dynamics is developed. The proposed method is simple and systematic for the extraction and identification of robot dynamic parameters. The dynamic parameters are then formulated as a regression model. This model is used to generate the closed-form solution of the dynamics. The analysis in this work is based on a set of compiled data for the Stanford arm to facilitate the study of the dynamic performance and closed-loop solutions of robot manipulators. For the derivation of the dynamics MAPLE (symbolic computer algebra language) is used.", acknowledgement = ack-nhfb, affiliation = "Univ of Western Australia", affiliationaddress = "Western Australia, Aust", classification = "723.1; 731.1; 731.3; 731.5; 921.5; 921.6", fjournal = "Cybernetics and Systems", journal-URL = "http://www.tandfonline.com/loi/ucbs20", journalabr = "Cybern Syst", keywords = "Algebra; Algorithms; Closed form solution; Computer programming languages; Control systems; Lagrange Euler dynamics; Manipulators; Mathematical models; Motion control; On line tuning; Optimization; Parameter estimation; Regression analysis; Robot dynamic parameters; Robot manipulators; Robotics; Software package Maple; Symbolic computer algebra language", } @Book{Kreyszig:1994:MCM, author = "E. Kreyszig and E. J. Normington", title = "{Maple} Computer Manual for Seventh Edition Advanced Engineering Mathematics: {Erwin Kreyszig}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xii + 506", year = "1994", ISBN = "0-471-31126-X", ISBN-13 = "978-0-471-31126-3", LCCN = "QA401 K74 1993", bibdate = "Thu Jul 7 07:55:36 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib", note = "There is a companion {\em Instructor's Maple Manual}, but I have not yet found an exact citation for it.", acknowledgement = ack-nhfb, tableofcontents = "Introduction / 1 \\ General Commands / 3 \\ 1 First Order Differential Equations / 10 \\ Ex. 1.1 Radioactivity, exponential decay / 12 \\ Ex. 1.2 Separation of variables. Plot of several curves / 14 \\ Ex. 1.3 Checking solutions. Two ways of writing derivatives / 15 \\ Ex. 1.4 Flow through an outlet. Torricelli's law / 16 \\ Ex. 1.5 Mixing problem / 16 \\ Ex. 1.6 Exact differential equation / 18 \\ Ex. 1.7 Integrating factors / 18 \\ Ex. 1.8 Linear differential equations / 19 \\ Ex. 1.9 Bernoulli equation. Verhulst equation / 20 \\ Ex. 1.10 RC-circuit / 21 \\ Ex. 1.11 RL-circuit. TRIGONOMETRIC TRICK / 22 \\ Ex. 1.12 Orthogonal trajectories / 23 \\ Ex. 1.13 Plotting trajectories by the command seq / 24 \\ Ex. 1.14 Direction field / 25 \\ Ex. 1.15 Picard iteration / 26 \\ Problems for Chapter 1 / 28 \\ 2 Second Order Differential Equations / 34 \\ Ex. 2.1 General solution. Initial value problem / 35 \\ Ex. 2.2 Double root (cf. Sec. 2.2) / 35 \\ Ex. 2.3 Complex roots of the characteristic equation / 37 \\ Ex. 2.4 Boundary value problem / 38 \\ Ex. 2.5 Undamped free vibrations / 38 \\ Ex. 2.6 Overdamped free motions / 40 \\ Ex. 2.7 Critically damped free motion / 41 \\ Ex. 2.8 Underdamped oscillations / 42 \\ Ex. 2.9 Euler--Cauchy equation / 43 \\ Ex. 2.10 Wronskian / 44 \\ Ex. 2.11 Reduction of order / 45 \\ Ex. 2.12 Nonhomogeneous differential equation / 45 \\ Ex. 2.13 Solution by undetermined coefficients / 47 \\ Ex. 2.14 Variation of parameters / 48 \\ Ex. 2.15 Resonance in an undamped vibrating system / 49 \\ Ex. 2.16 Forced undamped oscillations. Beats. / 50 \\ Ex. 2.17 Forced damped oscillations in Sec. 2.11 / 51 \\ Ex. 2.18 RLC-circuit / 52 \\ Problems for Chapter 2 / 54 \\ 3 Higher Order Linear Differential Equations / 57 \\ Ex. 3.1 Basis of solutions. Wronskian / 58 \\ Ex. 3.2 Initial value problem / 59 \\ Ex. 3.3 Verification of solutions / 60 \\ Ex. 3.4 Differential equation for a given basis / 60 \\ Ex. 3.5 Method of undetermined coefficients / 61 \\ Ex. 3.6 Initial value problems for nonhomogeneous equations / 62 \\ Ex. 3.7 Variation of parameters / 62 \\ Problems for Chapter 3 / 65 \\ 4 Systems of Differential Equations Phase Plane, Stability / 67 \\ Ex. 4.1 Improper node / 70 \\ Ex. 4.2 Improper node. Use of matrices / 71 \\ Ex. 4.3 Direction field of vectors in the phase plane / 73 \\ Ex. 4.4 Saddle point / 74 \\ Ex. 4.5 Center / 75 \\ Ex. 4.6 Spiral point / 76 \\ Ex. 4.7 System without basis of eigenvectors / 78 \\ Ex. 4.8 Pendulum equation (Sec. 4.5) / 79 \\ Ex. 4.9 Van der Pol equation. Limit cycle (Sec. 4.5) / 81 \\ Ex. 4.10 Nonhomogeneous system / 82 \\ Ex. 4.11 Method of undetermined coefficients / 83 \\ Ex. 4.12 Variation of parameters / 84 \\ Ex. 4.13 Diagonalization of systems of differential equations / 85 \\ Problems for Chapter 4 / 88 \\ 5 Series Solutions of Differential Equations. Special Functions / 92 \\ Ex. 5.1 Series solution. Plot from it / 94 \\ Ex. 5.2 Legendre polynomials. The orthopoly package / 95 \\ Ex. 5.3 Legendre polynomials. Simplification of results / 97 \\ Ex. 5.4 Legendre polynomials from boundary value problems / 98 \\ Ex. 5.5 Coefficient recursion for series solution / 98 \\ Ex. 5.6 Coefficient recursion for the Legendre equation / 100 \\ Ex. 5.7 Frobenius method / 100 \\ Ex. 5.8 Bessel functions / 101 \\ Ex. 5.9 Bessel functions of the second kind / 103 \\ Ex. 5.10 Orthogonal expansions. Fourier--Legendre series / 104 \\ Problems for Chapter 5 / 106 \\ 6 Laplace Transforms / 108 \\ Ex. 6.1 Beginnings / 109 \\ Ex. 6.2 Inverse Laplace transform / 110 \\ Ex. 6.3 Differentiation and integration of functions / 111 \\ Ex. 6.4 Differential equation / 111 \\ Ex. 6.5 Initial value problem for a nonhomogeneous equation / 112 \\ Ex. 6.6 Unit step function. Dirac's delta function / 113 \\ Ex. 6.7 Discontinuous periodic driving force / 115 \\ Ex. 6.8 General formulas / 116 \\ Ex. 6.9 Forced oscillations. Resonance / 117 \\ Ex. 6.10 System of differential equations. Spacecurve / 118 \\ Problems for Chapter 6 / 121 \\ 7 Linear Algebra, Vector Calculus / 125 \\ Ex. 7.1 Matrices and vectors: Addition and multiplication / 129 \\ Ex. 7.2 Further operations on matrices / 131 \\ Ex. 7.3 Special matrices / 133 \\ Ex. 7.4 Solution of a linear system / 134 \\ Ex. 7.5 Gauss elimination, further cases / 135 \\ Ex. 7.6 Determinants / 135 \\ Ex. 7.7 Inverse of a matrix / 136 \\ Ex. 7.8 Rank of a matrix / 137 \\ Ex. 7.9 Linear independence and dependence / 138 \\ Ex. 7.10 Eigenvalues, eigenvectors / 139 \\ Ex. 7.11 Complex eigenvalues / 140 \\ Ex. 7.12 Orthogonal transformations / 141 \\ Ex. 7.13 Complex matrices / 142 \\ Ex. 7.14 Diagonalization of a matrix / 143 \\ Ex. 7.15 Similar matrices / 144 \\ Problems for Chapter 7 / 146 \\ 8 Vector Differential Calculus. Grad, Div, Curl / 149 \\ Ex. 8.1 Vector with given endpoints. Length / 151 \\ Ex. 8.2 Vector addition. Scalar multiplication / 152 \\ Ex. 8.3 Inner product (dot product) / 152 \\ Ex. 8.4 Vector product (cross product) / 154 \\ Ex. 8.5 Differentiation of vectors. Tangent. Spaceplots / 155 \\ Ex. 8.6 Arc length, curvature, torsion of a curve / 156 \\ Ex. 8.7 Gradient, directional derivative / 157 \\ Ex. 8.8 Gradient as surface normal vector. Vector substitution / 158 \\ Ex. 8.9 Potential of a vector field / 159 \\ Ex. 8.10 Divergence. Laplacian / 159 \\ Ex. 8.11 Curl / 160 \\ Problems for Chapter 8 / 162 \\ 9 Vector Integral Calculus. Integral Theorems / 167 \\ Ex. 9.1 Line integral in the plane / 167 \\ Ex. 9.2 Line integral in space / 168 \\ Ex. 9.3 Dependence of integrals on path / 169 \\ Ex. 9.4 Line integral of the form (7), p. 505 / 169 \\ Ex. 9.5 Independence of path / 170 \\ Ex. 9.6 Path independence; Use of potential / 170 \\ Ex. 9.7 Exactness and independence of path / 171 \\ Ex. 9.8 Double integrals / 171 \\ Ex. 9.9 Green's theorem in the plane / 172 \\ Ex. 9.10 Surface plot. Normal vector / 172 \\ Ex. 9.11 Surface integral (flux) / 174 \\ Ex. 9.12 Triple integral / 174 \\ Ex. 9.13 Gauss's divergence theorem / 174 \\ Ex. 9.14 Verification of the divergence theorem / 175 \\ Ex. 9.15 Stokes's theorem / 176 \\ Problems for Chapter 9 / 178 \\ 10 Fourier Series, Integrals, and Transforms / 181 \\ Ex. 10.1 Periodic square wave / 181 \\ Ex. 10.2 Piecewise linear function / 183 \\ Ex. 10.3 Series with cosine and sine terms / 184 \\ Ex. 10.4 Period different from 2?r / 184 \\ Ex. 10.5 Saw tooth waves. Gibbs phenomenon / 185 \\ Ex. 10.6 Even and odd functions / 186 \\ Ex. 10.7 Half-range expansions / 186 \\ Ex. 10.8 Rectifier / 187 \\ Ex. 10.9 Forced oscillations / 189 \\ Ex. 10.10 Square error / 191 \\ Ex. 10.11 Fourier integral / 191 \\ Ex. 10.12 Fourier transform / 192 \\ Problems for Chapter 10 / 193 \\ 11 Partial Differential Equations / 198 \\ Ex. 11.1 Basic equations in this chapter / 198 \\ Ex. 11.2 Plot of level curves / 199 \\ Ex. 11.3 Surface plots of solutions / 200 \\ Ex. 11.4 Separation of variables / 200 \\ Ex. 11.5 D'Alembert's solution / 201 \\ Ex. 11.6 Vibrating beam / 202 \\ Ex. 11.7 Heat equation / 203 \\ Ex. 11.8 Heat flow: Adiabatic ends / 204 \\ Ex. 11.9 Two-dimensional heat flow / 204 \\ Ex. 11.10 Error function / 206 \\ Ex. 11.11 Rectangular membrane / 208 \\ Ex. 11.12 Square Membrane / 209 \\ Problems for Chapter 11 / 211 \\ 12 Complex Numbers Complex Analytic Functions / 215 \\ Ex. 12.1 Complex numbers / 217 \\ Ex. 12.2 Polar form / 218 \\ Ex. 12.3 Plotting complex numbers / 219 \\ Ex. 12.4 Absolute value of a quotient / 221 \\ Ex. 12.5 De Moivre's formula / 221 \\ Ex. 12.6 Quadratic and cubic equations. Roots of complex numbers / 222 \\ Ex. 12.7 Roots of unity and their plots / 222 \\ Ex. 12.8 Unit circle, annulus / 224 \\ Ex. 12.9 Circles. Completing squares / 224 \\ Ex. 12.10 Inequalities / 225 \\ Ex. 12.11 Function, derivative, surface plot / 225 \\ Ex. 12.12 Cauchy--Riemann equations / 227 \\ Ex. 12.13 Harmonic functions / 227 \\ Ex. 12.14 Exponential, trigonometric and hyperbolic functions / 228 \\ Ex. 12.15 Complex logarithm In* (cf. Sec. 12.8) / 229 \\ Problems for Chapter 12 / 232 \\ 13 Complex Integration / 236 \\ Ex. 13.1 Integration by using a formula for the path / 236 \\ Ex. 13.2 A most important integral (Sec. 13.2) / 237 \\ Ex. 13.3 Path consisting of two parts. Path dependence / 238 \\ Ex. 13.4 Indefinite integration (Sec. 13.2) / 238 \\ Ex. 13.5 Linearity of integration / 239 \\ Ex. 13.6 WARNING: Contour integrals / 239 \\ Ex. 13.7 Partial fractions in integration / 240 \\ Ex. 13.8 Contour integral of integer powers / 241 \\ Ex. 13.9 Integration by Cauchy's integral formula / 241 \\ Ex. 13.10 Integration by derivative formulas (Sec. 13.6) / 242 \\ Problems for Chapter 13 / 243 \\ 14 Power Series, Taylor Series, Laurent Series / 245 \\ Ex. 14.1 Complex sequences and their plots / 246 \\ Ex. 14.2 Ratio test for complex series / 248 \\ Ex. 14.3 Radius of convergence. Cauchy--Hadamard formula / 249 \\ Ex. 14.4 Taylor series / 250 \\ Ex. 14.5 Differentiation and integration of Taylor series / 251 \\ Ex. 14.6 Generating function / 252 \\ Ex. 14.7 Use of complex series for computing function values / 254 \\ Ex. 14.8 Uniform convergence / 254 \\ Ex. 14.9 Laurent series / 255 \\ Ex. 14.10 Laurent series by partial fractions / 255 \\ Ex. 14.11 Zeros / 257 \\ Ex. 14.12 Singularities / 258 \\ Ex. 14.13 Analytic at infinity / 258 \\ Problems for Chapter 14 / 260 \\ 15 Residue Integration Method / 262 \\ Ex. 15.1 Residue integration / 262 \\ Ex. 15.2 Location of singularities. Residues / 263 \\ Ex. 15.3 Higher order pole. Partial fractions / 264 \\ Ex. 15.4 Essential singularity / 264 \\ Ex. 15.5 Integration by the residue theorem / 265 \\ Ex. 15.6 The command residue / 266 \\ Ex. 15.7 Real integrals / 266 \\ Ex. 15.8 Complex transformation of real integrals / 267 \\ Ex. 15.9 Caution with improper real integrals on the computer! / 268 \\ Ex. 15.10 Fourier integrals, Sec. 15.4 / 269 \\ Ex. 15.11 Cauchy principal value / 270 \\ Problems for Chapter 15 / 271 \\ 16 Conformal Mapping / 273 \\ Ex. 16.1 Plotting images of straight lines under w = z2 / 273 \\ Conformal mapping / 274 \\ Mapping w = l/z / 276 \\ Mapping of the unit disk onto the unit disk / 277 \\ Linear fractional transformation / 278 \\ Linear fractional transformation for given points / 278 \\ Mapping w = l/z / 279 \\ Inverse linear fractional transformation / 280 \\ Mappings of half-planes onto half-planes / 280 \\ Ex. 16.10 Images of several rectangles on common axes / 281 \\ Ex. 16.11 Joukowski airfoil (Sec. 16.5) / 282 \\ Problems for Chapter 16 / 283 \\ 17 Complex Analysis Applied to Potential Theory / 291 \\ Ex. 17.1 Finding and plotting equipotential lines / 291 \\ Ex. 17.2 Plotting equipotential lines and lines of forces. / 293 \\ Ex. 17.3 Equipotential lines / 293 \\ Ex. 17.4 Equipotential surfaces of In z / 294 \\ Ex. 17.5 Noncoaxial cylinders (p. 891) / 295 \\ Ex. 17.6 Flow around a cylinder / 296 \\ Ex. 17.7 Increase of the density of streamlines / 298 \\ Ex. 17.8 Plotting equipotential lines by f i e l d p l o t / 298 \\ Ex. 17.9 Series representation of potential (Sec. 17.5) / 300 \\ Ex. 17.10 Mean value theorem for analytic functions / 301 \\ Problems for Chapter 17 / 302 \\ 18 Numerical Methods in General / 305 \\ Ex. 18.1 Numerical Errors - Quadratic Equation / 306 \\ Ex. 18.2 Fixed-point iteration / 307 \\ Ex. 18.3 Fixed point iteration / 308 \\ Ex. 18.4 Fixed-point iteration (Sec. 18.2) / 309 \\ Ex. 18.5 Newton's method. Square root / 310 \\ Ex. 18.6 Iteration for a transcendental equation / 311 \\ Ex. 18.7 Newton's method / 311 \\ Ex. 18.8 Secant method / 313 \\ Ex. 18.9 Bisection method (AEM, p. 935) / 313 \\ Ex. 18.10 Lagrange interpolation (Sec. 18.3) / 314 \\ Ex. 18.11 Newton's divided difference interpolation / 316 \\ Ex. 18.12 Newton's forward difference interpolation / 318 \\ Ex. 18.13 High-degree interpolation polynomials / 318 \\ Ex. 18.14 Numerical integration / 319 \\ Ex. 18.15 Gauss integration / 320 \\ Problems for Chapter 18 / 322 \\ Procedures / 325 \\ 19 Numerical Methods in Linear Algebra / 327 \\ Ex. 19.1 Gauss elimination. Pivoting / 327 \\ Ex. 19.2 Details of the Gauss elimination / 329 \\ Ex. 19.3 Doolittle's method (p. 982) / 332 \\ Ex. 19.4 Doolittle LU-factorization / 334 \\ Ex. 19.5 Cholesky's method (p. 983) / 334 \\ Ex. 19.6 Gauss--Jordan elimination / 336 \\ Ex. 19.7 Gauss--Seidel iteration / 337 \\ Ex. 19.8 Matrix norms, condition numbers (Sees. 19.3, 19.4) / 338 \\ Ex. 19.9 Gauss--Seidel iteration. Test for convergence / 339 \\ Ex. 19.10 Procedure for the Gauss--Seidel iteration / 340 \\ Ex. 19.11 Least squares / 341 \\ Ex. 19.12 Least squares / 342 \\ Ex. 19.13 Example 19.12 revisited: Normal equations / 343 \\ Ex. 19.14 Least squares: Quadratic polynomial / 344 \\ Ex. 19.15 Eigenvalues, eigenvectors / 346 \\ Ex. 19.16 Collatz's theorem for eigenvalues / 346 \\ Ex. 19.17 Power method for eigenvalues (Sec. 19.8) / 348 \\ Ex. 19.18 Wielandt's deflation / 350 \\ Ex. 19.19 Householder tridiagonalization / 350 \\ Ex. 19.20 QR Factorization method / 352 \\ Ex. 19.21 Pivoting in Gaussian Elimination / 355 \\ Problems for Chapter 19 / 357 \\ 20 Numerical Methods for Differential Equations / 360 \\ Ex. 20.1 Two ways of writing a differential equation / 360 \\ Ex. 20.2 Euler method (p. 1035) / 361 \\ Ex. 20.3 Improved Euler method / 362 \\ Ex. 20.4 Runge--Kutta method / 364 \\ Ex. 20.5 Procedure for the Runge--Kutta method / 365 \\ Ex. 20.6 Adams--Moulton two-step method / 366 \\ Ex. 20.7 Adams--Moulton two-step method, with built-in Runge--Kutta / 367 \\ Ex. 20.8 Second order differential equations, simplest method / 368 \\ Ex. 20.9 Runge--Kutta--Nystr{\"o}m method / 370 \\ Ex. 20.10 Laplace equation in Example 1, p. 1059 / 372 \\ Ex. 20.11 Program for the Laplace equation. Band matrices / 373 \\ Ex. 20.12 Laplace equation: Refinement of grids / 375 \\ Ex. 20.13 Laplace equation: Procedure / 376 \\ Ex. 20.14 Poisson Equation: Mixed Boundary Values / 377 \\ Ex. 20.15 Parabolic Equations: Crank--Nicolson Method / 378 \\ Problems for Chapter 20 / 380 \\ 21 Chapter / 22 \\ No examples, no problems. 23 Probability Theory / 385 \\ Ex. 23.1 Stirling formula / 385 \\ Ex. 23.2 Sum of binomial coefficients / 386 \\ Ex. 23.3 Plotting distribution functions / 387 \\ Ex. 23.4 Plotting distribution function and density / 387 \\ Ex. 23.5 Distribution function, density, critical value / 387 \\ Ex. 23.6 Uniform distribution / 388 \\ Ex. 23.7 Binomial distribution / 389 \\ Ex. 23.8 Binomial distribution / 389 \\ Ex. 23.9 Poisson distribution with a large mean / 391 \\ Ex. 23.10 Hypergeometric distribution / 391 \\ Ex. 23.11 Normal distribution / 391 \\ Problems for Chapter 23 / 394 \\ 24 Mathematical Statistics / 396 \\ Ex. 24.1 Random numbers / 397 \\ Ex. 24.2 Random numbers. Sample means / 398 \\ Ex. 24.3 Frequency polygon / 400 \\ Ex. 24.4, Sample mean, variance, and standard deviation / 400 \\ Ex. 24.5 Confidence interval for the mean of the normal distribution with known variance / 401 \\ Ex. 24.6 Confidence interval for the mean of the normal distribution with unknown variance, $t$-distribution / 402 \\ Ex. 24.7 Confidence interval for the variance of the normal distribution / 402 \\ Ex. 24.8 Test for the mean / 403 \\ Ex. 24.9 Power function for different sample sizes. OC curves / 403 \\ Ex. 24.10 Tests for the mean of the normal distribution with known variance / 404 \\ Ex. 24.11 $t$-test for the mean of the normal distribution with unknown variance / 405 \\ Ex. 24.12 Test for the variance of the normal distribution / 405 \\ Ex. 24.13 Comparison of means by independent samples / 406 \\ Ex. 24.14 Comparison of variances of normal distributions / 406 \\ Ex. 24.15 Acceptance sampling / 407 \\ Ex. 24.16 Linear regression / 408 \\ Ex. 24.17 Nonlinear regression / 409 \\ Problems for Chapter 24 / 411 \\ Appendix 1 References / A1 \\ Appendix 2 Solutions to Odd-Numbered Problems / A2 \\ Index of Maple Commands and Keywords / J1 Index of Maple Commands Arranged by Chapters / J11", } @Article{Lai:1994:CAF, author = "Shan-Tao Lai", title = "Computation of Algebraic Formulas for {Wigner} 3-j, 6-j, and 9-j Symbols by {Maple}", journal = j-IJQC, volume = "52", number = "3", pages = "593--607", day = "15", month = oct, year = "1994", CODEN = "IJQCB2", DOI = "https://doi.org/10.1002/qua.560520303", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Tue Oct 4 06:58:50 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/ijqc1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", onlinedate = "21 Sep 2004", } @Article{LeBlanc:1994:SBL, author = "Victor G. LeBlanc and Ali Lari-Lavassani and William F. Langford", title = "Symmetry-breaking for leading order gradient maps in {$ {\bf R}^2 $} with applications to {$ {\rm O}(3) $}", journal = j-NONLINEARITY, volume = "7", number = "2", pages = "577--594", year = "1994", CODEN = "NONLE5", ISSN = "0951-7715 (print), 1361-6544 (electronic)", ISSN-L = "0951-7715", MRclass = "58E09 (58F14)", MRnumber = "95h:58033", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Nonlinearity (Bristol)", journal-URL = "http://iopscience.iop.org/0951-7715", keywords = "Maple", } @Article{Lesser:1994:NMC, author = "Martin Lesser", title = "Nonlinear modeling of complex mechanical systems", journal = j-INT-J-BIFURC-CHAOS-APPL-SCI-ENG, volume = "4", number = "3", pages = "521--551", year = "1994", CODEN = "IJBEE4", ISSN = "0218-1274", MRclass = "70E15 (70-04 70B10 70F25)", MRnumber = "95h:70013", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "International journal of bifurcation and chaos in applied sciences and engineering", keywords = "Maple", reviewer = "David A. Levinson", } @InProceedings{Li:1994:IMP, author = "P. Li and R. L. Peskin", title = "Implementation of a Mapping Procedure for the Domain Decomposition for {PDEs} in {Maple}", crossref = "Lopez:1994:MVM", pages = "46--54", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Article{Lieh:1994:SFE, author = "Junghsen Lieh", title = "Separated-form equations of motion of controlled flexible multibody systems", journal = j-J-DYN-SYST-MEAS-CONTROL, volume = "116", number = "4", pages = "702--712", month = dec, year = "1994", CODEN = "JDSMAA", ISSN = "0022-0434", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This paper introduces a method leading to separated-form formulation of dynamic equations of multibody systems subject to control. The algorithm is derived from the virtual work principle and includes the moving base effects. The elastic members are treated as Euler--Bernoulli beams. Equations of motion are expanded using generalized coordinate partitioning and a Jacobian matrix expansion. The formulation of each physical term is separated, i.e., the inertia matrix, nonlinear coupling vector, generalized force vector and base motion-induced terms are established individually. The formulation is implemented on a workstation using MAPLE. Nonlinear and linearized equations with control are generated in FORTRAN format. The control design adopts second-order models directly. Several examples including a spin-up cantilever beam, an elastic vehicle with active suspensions and an elastic slider-crank mechanism are given. Numerical results for nonlinear and linear spin-up beam models are provided. Simulation for the active vehicle model using second-order control theory is presented.", acknowledgement = ack-nhfb, affiliation = "Wright State Univ", affiliationaddress = "Dayton, OH, USA", classification = "408.2; 723.1.1; 723.5; 921.1; 921.2; 921.6", fjournal = "Journal of Dynamic Systems, Measurement, and Control", journalabr = "J Dyn Syst Meas Control Trans ASME", keywords = "Algorithms; Computer simulation; Control theory; Controlled flexible multibody systems; Equations of motion; Euler Bernoulli beams; Flexible structures; fortran (programming language); Generalized coordinate partitioning; Jacobian matrix expansion; Linearization; Matrix algebra; Motion control; Nonlinear equations; Separated form equations; Software package Maple; Vectors; Virtual work principle", } @Article{Lopez:1994:LER, author = "Robert J. Lopez and Lyle P. Wiedeman", title = "{Laplace}'s equation on a rectangle: a {Maple-AVS} connection", journal = j-IFIP-TRANS-A, volume = "A-48", number = "????", pages = "155--165", year = "1994", CODEN = "ITATEC", ISSN = "0926-5473", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The solution to Laplace's equation on a rectangle can be obtained as an infinite series by separation of variables for Dirichlet and homogeneous Neumann boundary conditions. One such problem, solved with the help of the computer algebra system Maple, leads to the discovery of non-intuitive behavior. The superior graphics capability of AVS is then used to explore this behavior further.", acknowledgement = ack-nhfb, affiliation = "Rose-Hulman Inst of Technology", affiliationaddress = "Terre Haute, IN, USA", classification = "641.2; 723.5; 901.2; 921.1; 921.3; 921.6", conference = "Proceedings of the IFIP WG3.2 Working Conference on Visualization in Scientific Computing: Uses in University Education", fjournal = "IFIP Transactions. A. Computer Science and Technology", journalabr = "IFIP Trans A Comput Sci Technol", keywords = "Algebra; Boundary value problems; Computer aided instruction; Computer graphics; Dirichlet boundary conditions; Education computing; Heat conduction; Laplace transforms; Neumann boundary conditions", meetingaddress = "Irvine, CA, USA", meetingdate = "Jul 28--30 1993", meetingdate2 = "07/28--30/93", } @Book{Lopez:1994:MCT, author = "Robert J. Lopez", title = "{Maple} via Calculus: a Tutorial Approach", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "166", year = "1994", ISBN = "0-8176-3771-0", ISBN-13 = "978-0-8176-3771-2", LCCN = "QA303.5.D37 L66 1994", bibdate = "Thu Dec 28 12:05:16 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.birkhauser.com/Books/lopez/summary.htm", acknowledgement = ack-nhfb, } @InProceedings{Lozano:1994:TGM, author = "E. R. Lozano and E. R. Macias", title = "``{Turtle} Graphics'' in {Maple V.2}", crossref = "Lopez:1994:MVM", pages = "3--12", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Mahmood:1994:AAS, author = "M. F. Mahmood and T. L. Gill", title = "Analytical Approaches to Solving Coupled Nonlinear {Schr{\"o}dinger} Equations Using {Maple V}", crossref = "Lopez:1994:MVM", pages = "83--89", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Book{Mathews:1994:PIU, author = "David M. Mathews and Keith Schwingendorf", title = "Precalculus Investigations using {Maple V}", publisher = pub-HARPERCOLLINS, address = pub-HARPERCOLLINS:adr, pages = "????", year = "1994", ISBN = "0-673-99410-4", ISBN-13 = "978-0-673-99410-3", LCCN = "QA331 .M4317 1994", bibdate = "Sun Jul 10 20:44:42 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{McLean:1994:NES, author = "W. McLean", title = "Numerical evaluation of some trigonometric series", journal = j-MATH-COMPUT, volume = "63", number = "207", pages = "271--275", year = "1994", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65T10 (42A32 65B10)", MRnumber = "94i:65136", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Maple", reviewer = "A. D. Booth", } @InProceedings{McLenaghan:1994:MAG, author = "R. G. McLenaghan", title = "{MAPLE} applications to general relativity", crossref = "MacCallum:1994:ACG", pages = "265--266", year = "1994", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Molinder:1994:SPU, author = "J. I. Molinder", title = "Signal Processing Using {Maple V}", crossref = "Lopez:1994:MVM", pages = "39--45", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Monagan:1994:WCW, author = "M. Monagan", title = "Worksheets: Can We Teach Mathematical Algorithms with Them?", crossref = "Lopez:1994:MVM", pages = "187--196", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Book{Morel:1994:VMI, author = "Jean-Michel Morel and Sergio Solimini", title = "Variational Methods in Image Segmentation: with Seven Image Processing Experiments", volume = "14", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xvi + 245", year = "1994", ISBN = "0-8176-3720-6, 3-7643-3720-6", ISBN-13 = "978-0-8176-3720-0, 978-3-7643-3720-9", LCCN = "TA1637.M67 1995", bibdate = "Thu Dec 28 12:05:45 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$59.50", series = "Progress in Nonlinear Differential Equations and Their Applications", URL = "http://www.birkhauser.com/Books/morel/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @InProceedings{Murray:1994:CAT, author = "D. Murray", title = "Computer Algebra as a Tool for Analyzing Nonlinear Systems", crossref = "Lopez:1994:MVM", pages = "199--208", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Book{Nguyen:1994:SCM, author = "T. Nguyen", title = "Symbolic Computation with {Maple} in Economic Modeling", publisher = "????", address = "????", pages = "????", year = "1994", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:59:14 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Pavelcak:1994:ALA, author = "J. A. Pavelcak", title = "Another Look at Learning the Techniques of Elementary Integration", crossref = "Lopez:1994:MVM", pages = "179--186", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Petitjean:1994:ACS, author = "Sylvain Petitjean", title = "Automating the construction of stationary multiple-point classes", crossref = "ACM:1994:IPI", pages = "9--14", year = "1994", bibdate = "Thu Mar 12 08:41:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p9-petitjean/", abstract = "In this paper, we describe an algorithm to compute arbitrary stationary multiple-point formulas. We report its full implementation in Maple and show some examples matching formulas found by hand computation. We also present an application to the enumeration of lines having specified contact with a projective surface.", acknowledgement = ack-nhfb, affiliation = "CRIN, CNRS, Vandoeuvre-les-Nancy, France", classification = "C4260 (Computational geometry); C7310 (Mathematics computing)", keywords = "algorithms; Enumeration of lines; languages; Maple; Multiple-point classes; Multiple-point formulas; Projective surface; Stationary multiple-point formulas; theory", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf F.2.2} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and Problems, Geometrical problems and computations. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Computational geometry; Symbol manipulation", } @InProceedings{Pinchback:1994:DSA, author = "R. M. Pinchback", title = "Denotational Semantics Applied to the Typesetting of {Maple} Expressions", crossref = "Lopez:1994:MVM", pages = "22--27", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Putz:1994:UMV, author = "J. Putz", title = "Using {Maple V} in Calculus: Getting Started Affordably at a {Liberal Arts College}", crossref = "Lum:1994:PFA", pages = "803--811", year = "1994", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Ravenscroft:1994:RGF, author = "R. A. Ravenscroft", title = "Rational Generating Function Applications in {Maple}", crossref = "Lopez:1994:MVM", pages = "122--128", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Book{Redfern:1994:MH, author = "Darren Redfern", title = "The {Maple} Handbook", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "531", year = "1994", ISBN = "0-387-94331-5 (New York), 3-540-94331-5 (Berlin)", ISBN-13 = "978-0-387-94331-2 (New York), 978-3-540-94331-0 (Berlin)", LCCN = "QA76.95 .R43 1994", bibdate = "Tue Jun 06 18:14:01 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Riesel:1994:PNC, author = "Hans Riesel", title = "Prime Numbers and Computer Methods for Factorization", volume = "126", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xvi + 464", year = "1994", ISBN = "0-8176-3743-5", ISBN-13 = "978-0-8176-3743-9", LCCN = "QA246.R54 1994", bibdate = "Thu Dec 28 12:07:46 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$69.50", series = "Progress in Mathematics", URL = "http://www.birkhauser.com/Books/riesel/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @InProceedings{Roach:1994:SNE, author = "Kelly Roach", title = "Symbolic-numeric nonlinear equation solving", crossref = "ACM:1994:IPI", pages = "278--284", year = "1994", bibdate = "Thu Mar 12 08:41:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p278-roach/", abstract = "A numerical equation solving algorithm employing differentiation and interval arithmetic is presented which finds all solutions of $ f(z) = 0 $ on an interval $I$ when $f$ is holomorphic and has simple zeros. A two dimensional generalization of this algorithm is discussed. Finally, aspects of a broader symbolic numeric algorithm which uses the first algorithm as a foundation are considered.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", classification = "C4150 (Nonlinear and functional equations); C4160 (Numerical integration and differentiation); C6130 (Data handling techniques); C7310 (Mathematics computing)", keywords = "algorithms; Broader symbolic numeric algorithm; Differentiation; Holomorphic; Interval arithmetic; languages; Numerical equation solving algorithm; Simple zeros; Symbolic numeric nonlinear equation solving; Symbolic-numeric nonlinear equation solving; Two dimensional generalization", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Differentiation; Nonlinear equations; Symbol manipulation", } @InProceedings{Roennow:1994:IMF, author = "U. Roennow", title = "Introducing {Maple} to First Year Engineering Students Via Project Study", crossref = "Lopez:1994:MVM", pages = "173--178", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Article{Salvy:1994:GMP, author = "Bruno Salvy and Paul Zimmermann", title = "{GFUN}: a {Maple} package for the manipulation of generating and holonomic functions in one variable", journal = j-TOMS, volume = "20", number = "2", pages = "163--177", month = jun, year = "1994", CODEN = "ACMSCU", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "We describe the GFUN package which contains functions for manipulating sequences, linear recurrences, or differential equations and generating functions of various types. This article is intended both as an elementary introduction to the subject and as a reference manual for the package.", acknowledgement = ack-nhfb, affiliation = "INRIA", affiliationaddress = "Le Chesnay, Fr", classification = "721.1; 723.1; 723.2; 921.1; 921.2; 921.4", fjournal = "ACM Transactions on Mathematical Software", journal-URL = "http://portal.acm.org/toc.cfm?idx=J782", journalabr = "ACM Trans Math Software", keywords = "Algorithms; algorithms; Binary sequences; Boolean algebra; Combinatorial mathematics; Computer algebra; computer algebra; Data structures; Differential equations; Function evaluation; Generating functions; generating functions; Holonomic functions; linear differential equations; linear recurrences; Recurrences; Software package GFUN", subject = "G.2.1 [Discrete Mathematics]: Combinatorics--generating functions; recurrences and difference equations; I.1.2 [Algebraic Manipulation]: Algorithms", } @Book{Sethi:1994:HDM, author = "Suresh P. Sethi and Qing Zhang", title = "Hierarchical Decision Making in Stochastic Manufacturing Systems: Systems \& Control: Foundations \& Applications", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xvi + 419", year = "1994", ISBN = "0-8176-3735-4", ISBN-13 = "978-0-8176-3735-4", LCCN = "TS155.8.S45 1994", bibdate = "Thu Dec 28 12:19:15 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$49.50", URL = "http://www.birkhauser.com/Books/sethi/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @InProceedings{Shaw:1994:SMD, author = "Stephen J. Shaw", title = "Surface mode deformations on an oscillating bubble", crossref = "Blake:1994:BDI", pages = "355--363", year = "1994", MRclass = "76B10 (76M15 76T05)", MRnumber = "95j:76018", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Sidki:1994:SCG, author = "Said Sidki", title = "Solving certain group equations in {$ {\rm PGL}(2, k) $}---a computational approach. {XII School of Algebra, Part II (Portuguese) (Diamantina, 1992)}", journal = j-MAT-CONTEMP, volume = "7", pages = "59--70", year = "1994", ISSN = "0103-9059", MRclass = "20F05 (20C25)", MRnumber = "95m:20033", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Matem{\'a}tica Contempor{\^a}nea", keywords = "Maple", reviewer = "Thomas A. Fournelle", } @Article{Silvester:1994:SGF, author = "Peter P. Silvester and Simon V. Chamlian", title = "Symbolic generation of finite elements for skin-effect integral equations", journal = j-IEEE-TRANS-MAGNETICS, volume = "30", number = "5 pt 2", pages = "3594--3596", month = sep, year = "1994", CODEN = "IEMGAQ", ISSN = "0018-9464 (print), 1941-0069 (electronic)", ISSN-L = "0018-9464", bibdate = "Fri May 24 09:57:04 MDT 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Skin effect at high frequencies and electrostatics of good conductors can be formulated as an integral equation, whose solution by finite elements requires evaluation of integrals with Green's function kernels. The singular element integrals are computed analytically by a program in the Maple language, after recasting the integrals by coordinate transformations that render all singularities one-dimensional. Tables of singular integrals are given for elements up to order 4.", acknowledgement = ack-nhfb, affiliation = "McGill Univ", affiliationaddress = "Montreal, Que, Can", classification = "701.1; 704.2; 723.1; 921.2; 921.3; 921.6", conference = "Proceedings of the 9th Conference on the Computation of Electromagnetic Fields (COMPUMAG'93)", fjournal = "IEEE Transactions on Magnetics", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=20", journalabr = "IEEE Trans Magn", keywords = "Approximation theory; Computer software; Electric conductors; Electric fields; Finite element method; Greens function; Integral equations; Integration; Maple language; Mathematical transformations; Polynomials; Skin effect; Skin effect integral equations", meetingaddress = "Miami, FL, USA", meetingdate = "Oct 31--Nov 4 1993", meetingdate2 = "10/31--11/04/93", sponsor = "IEEE; IEE of Japan; IEE of UK; Magnetic Society of Japan; Applied Computational Electromagnetic Society (ACES); Florida International University", } @InProceedings{Smith:1994:UMC, author = "T. Smith and C. Stolze and P. Tiffany and K. Weld", title = "Using {Maple} in the Calculus Sequence", crossref = "Huston:1994:SCJ", pages = "220--227", year = "1994", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Spearman:1994:CSQ, author = "Blair K. Spearman and Kenneth S. Williams", title = "Characterization of solvable quintics $ x^5 + a x + b $", journal = j-AMER-MATH-MONTHLY, volume = "101", number = "10", pages = "986--992", year = "1994", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "12E10 (12D10 12F10)", MRnumber = "95k:12004", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", keywords = "Maple", reviewer = "S. D. Cohen", } @Book{Spieth:1994:MVR, author = "A. Spieth", title = "{Maple V Release 2 Referenzhandbuch}", publisher = pub-ITCP, address = pub-ITCP:adr, pages = "????", year = "1994", ISBN = "3-929821-73-7", ISBN-13 = "978-3-929821-73-4", bibdate = "Wed Aug 30 09:38:55 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Steeb:1994:QMU, author = "Willi-Hans Steeb", title = "Quantum mechanics using computer algebra: includes sample programs for {REDUCE}, {MAPLE}, {MATHEMATICA} and {C++}", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "viii + 189", year = "1994", ISBN = "981-02-1770-6", ISBN-13 = "978-981-02-1770-9", LCCN = "QC174.17.D37 S74 1994", bibdate = "Wed Feb 15 15:58:54 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Strand:1994:SPF, author = "Bo Strand", title = "Summation by parts for finite difference approximations for $ d / d x $", journal = j-J-COMPUT-PHYS, volume = "110", number = "1", pages = "47--67", month = jan, year = "1994", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1994.1005", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65M06", MRnumber = "94k:65126", bibdate = "Mon Jan 2 07:54:53 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "See erratum \cite{Anonymous:1995:E}.", URL = "http://www.sciencedirect.com/science/article/pii/S0021999184710059", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", keywords = "Maple", } @Book{Stroock:1994:CIT, author = "Daniel W. Stroock", title = "Concise Introduction to the Theory of Integration", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, edition = "Second", pages = "viii + 184", year = "1994", ISBN = "0-8176-3759-1", ISBN-13 = "978-0-8176-3759-0", LCCN = "QA312.S78 1994", bibdate = "Thu Dec 28 12:21:20 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$24.50", URL = "http://www.birkhauser.com/Books/stroock/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Talay:1994:PSP, author = "D. Talay", title = "{Presto}: a software package for the simulation of diffusion processes", journal = j-STAT-COMP, volume = "4", number = "4", pages = "247--252", month = dec, year = "1994", CODEN = "STACE3", ISSN = "0960-3174 (print), 1573-1375 (electronic)", ISSN-L = "0960-3174", bibdate = "Mon Sep 30 05:24:55 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Inst. Nat. de Recherche en Inf. et Autom., Valbonne, France", classification = "C1140Z (Other topics in statistics); C4170 (Differential equations); C6115 (Programming support); C6140D (High level languages); C6150J (Operating systems); C6185 (Simulation techniques); C7320 (Physics and chemistry computing)", fjournal = "Statistics and Computing", keywords = "Academic institutions; Approximation procedures; Automatically FORTRAN code generation; Diffusion processes; INRIA product; MAPLE licences; Presto; Simulation; Software package; Stochastic differential systems; Universities; UNIX station; X-Windows environment; X-Windows licences", pubcountry = "UK", thesaurus = "Automatic programming; Differential equations; Diffusion; Digital simulation; FORTRAN; Physics computing; Software reviews; Stochastic processes; Unix", } @Article{Taneri:1994:EGT, author = "U. Taneri and J. Paldus", title = "Evaluation of group theoretical characteristics using the symbolic manipulation language {MAPLE}", journal = j-IJQC, volume = "52", number = "S28", pages = "139--154", day = "12--19", month = feb, year = "1994", CODEN = "IJQCB2", DOI = "https://doi.org/10.1002/qua.560520816", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Wed Oct 12 07:34:17 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/ijqc1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Supplement: Proceedings of the International Symposium on Atomic, Molecular, and Condensed Matter Theory and Computational Methods.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", onlinedate = "21 Sep 2004", } @InProceedings{Taylor-Russell:1994:MAU, author = "G. Taylor-Russell", title = "{Maple} at the {University of North London}", crossref = "Lopez:1994:MVM", pages = "167--172", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Taylor:1994:CEM, author = "R. Taylor and K. Atherley", title = "Chemical Engineering with {Maple}", crossref = "Lopez:1994:MVM", pages = "149--155", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Article{Terrell:1994:BSR, author = "Maria S. Terrell and Robert E. Terrell", title = "Behind the scenes of a random dot stereogram", journal = j-AMER-MATH-MONTHLY, volume = "101", number = "8", pages = "715--724", year = "1994", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "00A69 (00A08)", MRnumber = "95g:00013", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", keywords = "Maple", reviewer = "Igor Rivin", } @Article{Thompson:1994:MMC, author = "W. J. Thompson", title = "{MATHEMATICA} and {MAPLE}: Has {Champaign} met its {Waterloo}?", journal = j-COMPUT-PHYS, volume = "8", number = "3", pages = "269--278", year = "1994", CODEN = "CPHYE2", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Sat Apr 6 16:22:44 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-ble, fjournal = "Computers in Physics", } @InProceedings{Thompson:1994:WSC, author = "D. Thompson and T. Tries and L. Leff and Z. Malik", title = "A Working {2-D} Symbolic {CSG} System Written in {Maple}", crossref = "Tanik:1994:SSE", pages = "171--180", year = "1994", bibdate = "Thu Apr 11 17:54:41 MDT 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "We have written a working 2-D Constructive Solid Geometry (CSG) systems in MAPLE V. It has successfully processed CSG figures containing 64 primitives. This work involved over 2000 lines of MAPLE code. The system will take objects represented both parametrically (to allow changes) and numerically (to provide constraints). Constraints are automatically generated to ensure that as the user changes parameters, the object remains conceptually the same. There are many companies building parametric CAD systems for mechanical engineers. In these systems, the user can associate variables with particular dimensions of the object. Then, different objects from a given ``family of parts'' could be generated by simply giving new values to these parameters. For example, we might have the following figure which represents a plate with a slot. As A and B vary, the slot width changes and the location changes. However, if A and B';s changes are sufficient in magnitude, the object is no longer a slot with a hole in it. This example comes from a paper on parametric CSG (Gossard 88). See Figure 1. Our system would generate inequalities involving these parameters. As long as these inequalities are satisfied, situations such as those shown by Figure 1 would be prevented. The situation is even more important in shape optimization (Botkin 82). In this paper, the inequality constraints are referred to as side conditions. He developed a custom technique to generate these side conditions. Our system generates them for an arbitrary object defined by CSG. To our knowledge, this is the first report of generating these side conditions automatically from a CSG model. Shape optimization is the combination of a mathematical programming code with finite element analysis (Hafka 86). The parameters are varied, with an objective such as minimizing the total weight of the object. The finite element analysis ensures, for each set of parameters, that the object will withstand the stresses from the applied loads. A mathematical programming code would also need a subroutine that would generate the constraints, i.e., to determine whether the values chosen are permissible, i.e., meet all physical and other requirements. In shape optimization, these would include the geometric constraints (Kirsch 81). Our MAPLE program automatically generates the constraints for this purpose. Several articles explored the possibility of representing dimensions and tolerances using symbolic connectors called stiffeners. They include (Hillyard, 78), (Lin, 81) and (Gopin, 79). A discussion of these issues, with particular emphasis on the issue of tolerancing, can be found in (Requicha, 84). He stated that, `lists of desirable properties for variational classes are unknown [and] the algorithmic indications of various approaches are not understood.' We hope this software is a contribution towards resolving these issues.", acknowledgement = ack-nhfb, affiliation = "Western Illinois Univ", affiliationaddress = "Macomb, IL, USA", classification = "608; 723.1; 921.6", conference = "Proceedings of the Energy-Sources Technology Conference", conferenceyear = "1994", journalabr = "ASME Pet Div Publ PD", keywords = "Computer aided design; Mechanical engineering; Numerical analysis; Software engineering; Software package Maple", meetingaddress = "New Orleans, LA, USA", meetingdate = "Jan 23--26 1994", meetingdate2 = "01/23--26/94", sponsor = "ASME", } @InProceedings{Todd:1994:SEM, author = "P. Todd and R. McLeod and M. Harris", title = "A Symbolic Engineering Mechanics System Built on {OEM} {Maple}", crossref = "Lopez:1994:MVM", pages = "31--38", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InProceedings{Tomovic:1994:CAS, author = "M. M. Tomovic and V. S. Hillman", title = "Computer algebra systems enhance teaching engineering technology courses", crossref = "Grayson:1994:PFE", pages = "161--164", month = "", year = "1994", bibdate = "Mon Sep 30 05:14:59 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Purdue Univ., West Lafayette, IN, USA", classification = "B0120 (Education and training); C4210 (Formal logic); C6130 (Data handling techniques); C7310 (Mathematics computing); C7400 (Engineering computing); C7810C (Computer-aided instruction)", keywords = "Applications; CAI; Computer algebra software; Education; Engineering problems; Engineering technology courses; Maple software; Students; Teaching", thesaurus = "Courseware; Educational courses; Engineering computing; Engineering education; Process algebra; Symbol manipulation; Teaching", } @Article{VanEssen:1994:ADN, author = "H. {Van Essen}", title = "Analysis and design of nonlinear control systems with the symbolic computation system {MAPLE}", journal = j-JARATAZA, volume = "35", number = "2", pages = "3--??", year = "1994", CODEN = "JRNAAD", ISSN = "0771-1107", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal A. Revue A. Tijdschrift A. Zeitschrift A", } @Article{vanHoeij:1994:ACI, author = "Mark {van Hoeij}", title = "An algorithm for computing an integral basis in an algebraic function field", journal = j-J-SYMBOLIC-COMP, volume = "18", number = "4", pages = "353--364 (or 353--363??)", month = oct, year = "1994", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", bibdate = "Fri Dec 29 12:46:02 MST 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Algorithms for computing integral bases of an algebraic function field are implemented in some computer algebra systems. They are used e.g. for the integration of algebraic functions. The method used by Maple 5.2 and AXIOM is given by B. M. Trager (1984). He adapted an algorithm of Ford and Zassenhaus (1978), that computes the ring of integers in an algebraic number field, to the case of a function field. It turns out that using algebraic geometry one can write a faster algorithm. The method we give is based on Puiseux expansions. One can see this as a variant on the Coates' algorithm as it is described by Davenport (1981). Some difficulties in computing with Puiseux expansions can be avoided using a sharp bound for the number of terms required which are given. We derive which denominator is needed in the integral basis. Using this result `intermediate expression swell' can be avoided. The Puiseux expansions generally introduce algebraic extensions.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Nijmegen Univ., Netherlands", classification = "C6130 (Data handling techniques); C7310 (Mathematics computing)", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Algebraic function field; Algebraic number field; AXIOM; Computer algebra systems; Integral basis; Intermediate expression swell; Maple 5.2; Puiseux expansions", pubcountry = "UK", thesaurus = "Mathematics computing; Symbol manipulation", } @InProceedings{vanHoeij:1994:CPR, author = "Mark {van Hoeij}", title = "Computing parameterizations of rational algebraic curves", crossref = "ACM:1994:IPI", pages = "187--190", year = "1994", bibdate = "Thu Mar 12 08:41:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p187-van_hoeij/", abstract = "In this paper I want to present a new method for computing parametrizations of algebraic curves. Basically this method is a direct application of integral basis computation. Examples show that this method is faster than older methods.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Nijmegen Univ., Netherlands", classification = "C4130 (Interpolation and function approximation)", keywords = "algorithms; Integral basis computation; languages; Parametrizations; Rational algebraic curves; Rational functions; theory", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Curve fitting; Functions; Integral equations", xxtitle = "Computing parametrizations of rational algebraic curves", } @Article{Vantu:1994:MPC, author = "M. V{\^a}ntu", title = "A {Maple} program for computing the symbolic reliability polynomial in a directed network", journal = "Bull. Transilv. Univ. Bra\c sov Ser. B (N.S.)", volume = "1(36)", pages = "53--57 (1995)", year = "1994", ISSN = "1223-964X", MRclass = "90B25 (68Q40)", MRnumber = "MR1366715", bibdate = "Sat Apr 16 17:29:01 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", fjournal = "Transilvania University of Bra\c sov. Bulletin. Series B. New Series", } @Article{Wang:1994:DII, author = "Dong Ming Wang", title = "Differentiation and Integration of Indefinite Summations with Respect to Indexed Variables --- Some Rules and Applications", journal = j-J-SYMBOLIC-COMP, volume = "18", number = "3", pages = "249--264 (or 249--263??)", month = sep, year = "1994", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40", MRnumber = "95m:68090", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Res. Inst. for Symbolic Comput., Johannes Kepler Univ., Linz, Austria", classcodes = "C7310 (Mathematics computing); C4160 (Numerical integration and differentiation)", classification = "C4160 (Numerical integration and differentiation); C7310 (Mathematics computing)", corpsource = "Res. Inst. for Symbolic Comput., Johannes Kepler Univ., Linz, Austria", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Artificial neural systems; artificial neural systems; Computer-aided analysis; computer-aided analysis; Differentiation; differentiation; Indefinite summations; indefinite summations; indexed; Indexed variables; Integration; integration; MACSYMA; MAPLE; symbol manipulation; Toolkit; toolkit; variables", thesaurus = "Differentiation; Integration; Symbol manipulation", treatment = "T Theoretical or Mathematical", } @Article{Yan:1994:SVM, author = "Song Y. Yan", title = "A simple verification method for the {Goldbach} conjecture", journal = j-INT-J-MATH-EDU-SCI-TECH, volume = "25", number = "5", pages = "681--688", year = "1994", CODEN = "IJMEBM", ISSN = "0020-739X (print), 1464-5211 (electronic)", ISSN-L = "0020-739X", MRclass = "11P32 (11-01)", MRnumber = "95e:11109", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Mathematical Education in Science and Technology", journal-URL = "http://www.tandfonline.com/loi/tmes20", keywords = "Maple", reviewer = "Duncan A. Buell", } @InProceedings{Zirwas:1994:MVA, author = "G. Zirwas", title = "{Maple V} Analytically Calculating Plane Strain {$ F E $}-Matrices with Rotational Degrees of Freedom", crossref = "Lopez:1994:MVM", pages = "141--148", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @Article{Anonymous:1995:E, author = "Anonymous", title = "Erratum: {``Summation by parts for finite difference approximations for $ d / d x $''}", journal = j-J-COMPUT-PHYS, volume = "116", number = "1", pages = "192--192", month = jan, year = "1995", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1995.1019", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", bibdate = "Mon Jan 2 07:54:59 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "See \cite{Strand:1994:SPF}.", URL = "http://www.sciencedirect.com/science/article/pii/S0021999185710194", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @Article{Alonso:1995:RFD, author = "Cesar Alonso and Jaime Gutierrez and Tomas Recio", title = "A rational function decomposition algorithm by near-separated polynomials", journal = j-J-SYMBOLIC-COMP, volume = "19", number = "6", pages = "527--544", month = jun, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "13P05 (12Y05)", MRnumber = "96j:13025", MRreviewer = "Henri Lombardi", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C4240 (Programming and algorithm theory); C1110 (Algebra); C7310 (Mathematics computing)", corpsource = "Dept. de Matematicas, Estadistica y Comput., Cantabria Univ., Santander, Spain", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "algorithm; algorithm theory; arbitrary coefficient field; birationality test; ease of implementation; exponential time; faithful; functions; intermediate fields; manipulation; MAPLE V; near-separated; polynomials; rational function decomposition algorithm; reparameterization; subfields; symbol; transcendental field extension; unfaithfully parameterized curves", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Anonymous:1995:EPB, author = "Anonymous", booktitle = "Investing in the Future (Jun 25--28 1995: Anaheim, CA, USA)", title = "Experiments in project based calculus: the {Manhattan College Maple} project", journal = j-PROC-ASEE-ANNU-CONF, volume = "1", pages = "316--320", year = "1995", CODEN = "ACOPDW", ISSN = "0190-1052", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Many Engineering Schools are currently rethinking their curricula. In this connection, Manhattan College is conducting experimental project based on calculus using computer algebra system (CAS). The aim of the project is to deepen understanding of the calculus and to stay updated on the subject.", acknowledgement = ack-nhfb, affiliation = "Manhattan Coll", classification = "723.5; 901.1.1; 901.2; 921.1; 921.2; 921.6", conference = "Proceedings of the 1995 Annual ASEE Conference. Part 1 (of 2)", fjournal = "American Society for Engineering Education Annual Conference. Proceedings", journalabr = "ASEE Annu Conf Proc", keywords = "Algebra; Computer aided instruction; Computer algebra system; Differentiation (calculus); Engineering education; Manhattan College; Mathematical models; Mathematical techniques; Project based calculus; Societies and institutions; Teaching", meetingaddress = "Anaheim, CA, USA", meetingdate = "Jun 25--28 1995", meetingdate2 = "06/25--28/95", } @Article{Anonymous:1995:MMS, author = "Anonymous", title = "{Maple} in the Mathematical Sciences", journal = j-SIGSAM, volume = "29", number = "3", pages = "20--??", month = "????", year = "1995", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Sat May 11 11:50:33 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @Book{Anonymous:1995:PNS, author = "Anonymous", title = "The {PWS} Notebook Series Electronic Data Files for Solving Textbook Problems: Maple Notebook for Dick\slash Patton---Calculus of a Single Variable (Requires Maple for {PC} compatibles)", publisher = pub-PWS, address = pub-PWS:adr, pages = "????", year = "1995", ISBN = "0-534-93943-0", ISBN-13 = "978-0-534-93943-4", bibdate = "Wed Aug 30 09:40:17 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Arnault:1995:CCN, author = "Fran{\c{c}}ois Arnault", title = "Constructing {Carmichael} Numbers Which are Strong Pseudoprimes to Several Bases", journal = j-J-SYMBOLIC-COMP, volume = "20", number = "2", pages = "151--162 (or 151--161??)", month = aug, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "11Y11 (11A51)", MRnumber = "96k:11153", MRreviewer = "Andrew Granville", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing); C1160 (Combinatorial mathematics)", corpsource = "Fac. des Sci., Limoges Univ., France", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Axiom; Carmichael numbers; composite numbers; Lucas; Maple; number theory; pseudoprimes; Rabin-Miller test; symbol manipulation", treatment = "T Theoretical or Mathematical", } @Article{Baglivo:1995:BRB, author = "Jenny Baglivo", title = "Book Review: {{\booktitle{Computer Algebra Systems: Maple and Mathematica}}}", journal = j-AMER-STAT, volume = "49", number = "1", pages = "86--92", month = feb, year = "1995", CODEN = "ASTAAJ", ISSN = "0003-1305 (print), 1537-2731 (electronic)", ISSN-L = "0003-1305", bibdate = "Fri Jan 27 14:51:22 MST 2012", bibsource = "http://www.jstor.org/journals/00031305.html; http://www.jstor.org/stable/i326467; http://www.math.utah.edu/pub/tex/bib/amstat1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.jstor.org/stable/2684820", acknowledgement = ack-nhfb, fjournal = "The American Statistician", journal-URL = "http://www.tandfonline.com/loi/utas20", } @InProceedings{Ballarin:1995:TAI, author = "Clemens Ballarin and Karsten Homann and Jacques Calmet", title = "Theorems and Algorithms: An Interface between {Isabelle} and {Maple}", crossref = "Levelt:1995:IIS", pages = "150--157", year = "1995", bibdate = "Thu Mar 12 08:42:30 MST 1998", bibsource = "Compendex database; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p150-ballarin/", abstract = "Solving sophisticated mathematical problems often requires algebraic algorithms and theorems. However, there are no environments integrating theorem provers and computer algebra systems which consistently provide the inference capabilities of the former and the powerful arithmetic of the latter systems. As an example of such a mechanized mathematics environment, we describe a prototype implementation of an interface between Isabelle and Maple. It is achieved by extending the simplifier of Isabelle through the introduction of a new class of simplification rules called `evaluation rules', in order to make selected operations of Maple available, and without any modification to the computer algebra system. Additionally, we specify syntax translations for the concrete syntax of Maple which enables the communication between both systems. This is illustrated by some examples that can be solved by theorems and algorithms.", acknowledgement = ack-nhfb, affiliation = "Inst. fur Algorithmen und Kognitive Syst., Karlsruhe Univ., Germany", classification = "721.1; 722.2; 723.1.1; 921; 921.1; 921.2; C4210 (Formal logic); C6150E (General utility programs); C6170K (Knowledge engineering techniques); C7310 (Mathematics computing)", conference = "Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation", keywords = "Algebra; Algebraic algorithms; algebraic computation; Algorithms; algorithms; Arithmetic; Artificial intelligence; Calculations; Computer algebra system; Computer programming languages; Digital arithmetic; Evaluation rules; Inference capabilities; Integration; Interface; Interfaces (computer); Isabelle; languages; Logical languages; Maple; Mathematical techniques; Mechanized mathematics environment; Problem solving; Procedural algebraic knowledge; Prototype implementation; Simplification rules; Simplifier; Symbolic calculations; symbolic computation; Syntax translations; Syntax translations, ISSAC; Theorem prover; Theorem proving; theory; verification", meetingaddress = "Montreal, Can", meetingdate = "Jul 10--12 1995", meetingdate2 = "07/10--12/95", subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Special-purpose algebraic systems. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf G.4} Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm design and analysis. {\bf F.4.1} Theory of Computation, MATHEMATICAL LOGIC AND FORMAL LANGUAGES, Mathematical Logic. {\bf I.1.4} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Applications.", thesaurus = "Application program interfaces; Arithmetic; Inference mechanisms; Mathematics computing; Symbol manipulation; Theorem proving", } @InProceedings{Barkatou:1995:RVM, author = "A. Barkatou", title = "A rational version of {Moser}'s algorithm", crossref = "Levelt:1995:IIS", pages = "297--302", year = "1995", bibdate = "Thu Mar 12 08:42:30 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p297-barkatou/", abstract = "It is important to know whether a linear system of differential equations has a regular or an irregular singularity at a given point $ x_0 $ of the complex domain C. Moser (1960) has given an algorithm to solve this problem. His algorithm needs to compute with the individual singularities of the system and requires computations in algebraic extensions of the constant field for the coefficients of the system. This may represent an important drawback from a practical point of view. This paper describes a rational version of Moser's algorithm which has been implemented in the Maple computer algebra system for systems of differential equations with coefficients in $ Q(x) $. It never needs to compute with the individual singularities of the system and avoids any algebraic extensions. In addition, our algorithm reduces a linear system of differential equations with coefficients in $ Q(x) $ to an `irreducible' form which is particularly convenient if one wishes to compute invariants at singularities.", acknowledgement = ack-nhfb, affiliation = "LMC-IMAG, Grenoble, France", classification = "C4170 (Differential equations); C7310 (Mathematics computing)", keywords = "algebraic computation; Algebraic extensions; algorithms; Computer algebra system, ISSAC; Irregular singularity; Linear differential equations; Maple; Regular singularity; symbolic computation; theory; verification", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Nonalgebraic algorithms. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on matrices. {\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General.", thesaurus = "Linear differential equations; Mathematics computing; Symbol manipulation", } @Book{Bauldry:1995:LAM, author = "William C. Bauldry and Benny Evans and Jerry Johnson", title = "Linear Algebra with {Maple}", publisher = pub-JW, address = pub-JW:adr, pages = "xiii + 275", year = "1995", ISBN = "0-471-06368-1", ISBN-13 = "978-0-471-06368-1", LCCN = "QA185.D37B38 1995", bibdate = "Tue Aug 22 17:43:25 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$20.95", acknowledgement = ack-nhfb, } @Book{Beltzer:1995:EAM, author = "Abraham I. Beltzer", title = "Engineering analysis with {Maple}\slash {Mathematica}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xi + 282", year = "1995", ISBN = "0-12-085570-4", ISBN-13 = "978-0-12-085570-4", LCCN = "QA76.95 .B45 1995", bibdate = "Sat Mar 9 08:21:34 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "One 3 1/2 in. computer disk attached to inside back cover.", keywords = "Engineering --- Use of --- Computers; Engineering mathematics --- Data processing; finite element method --- computer programs; Maple (computer file); Mathematica (computer file); Mathematica (Computer program language)", } @Book{Blachman:1995:UM, author = "N. Blachman", title = "Using {Maple}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:46:34 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Boggess:1995:CMV, author = "Albert Boggess and David Barrow and Maurice Rahe and Jeff Morgan", title = "{CalcLabs} with {Maple V}, First Edition", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xii + 229", year = "1995", ISBN = "0-534-25590-6", ISBN-13 = "978-0-534-25590-9", LCCN = "303.5.D37C34 1995", bibdate = "Tue Aug 22 17:43:36 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$17.95", acknowledgement = ack-nhfb, } @Book{Borgert:1995:MP, author = "J. Borgert and H. Schwarze", title = "{Maple in der Physik}", publisher = "????", address = "????", pages = "????", year = "1995", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:38:33 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Brown:1995:MSP, author = "Allen Brown", title = "Model Software for Problem Solving: {Maple V} is the latest version of a modelling package capable of solving equations analytically, and much more", journal = j-ELECTRONICS-WORLD-WIRELESS-WORLD, volume = "101", number = "5", pages = "379--??", month = may, year = "1995", CODEN = "EWWWE6", ISSN = "0959-8332, 0266-3244", bibdate = "Sat Aug 17 09:04:46 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Maple V, Release 3, is a modelling package capable of symbolic, numerical and graphical processing. These include solving equations numerically and analytically, performing differentiations and integrations, polynomial factorizations, matrix manipulations, and generation of 2-D and 3-D graphs. The package also includes an interpreter that allows the creation of procedures. The only major drawback of the package is its steep learning curve.", acknowledgement = ack-nhfb, classification = "721.1; 722.2; 723.1; 723.5; 921.2; 921.6", fjournal = "Electronics world + wireless world", journalabr = "Electron World Wireless World", keywords = "Computer graphics; Computer simulation; Computer software; Differential equations; Graphical user interfaces; Laplace transforms; Mathematical models; Problem solving; Procedure oriented languages; Software Package maple V; Symbolic processing; Syntax rules; Three dimensional computer graphics; Transfer functions; Two dimensional", } @Book{Bugl:1995:EDE, author = "Paul Bugl", title = "Explorations in Differential Equations using {Maple}", publisher = pub-PH, address = pub-PH:adr, pages = "149", year = "1995", ISBN = "0-13-374752-2", ISBN-13 = "978-0-13-374752-2", LCCN = "????", bibdate = "Mon Oct 30 18:29:22 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Campbell:1995:SGD, author = "Stephen L. Campbell and E. Griepentrog", title = "Solvability of general differential algebraic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "16", number = "2", pages = "257--270", year = "1995", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "34A09 (34A12 34A45 65L05)", MRnumber = "95m:34003", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Maple", reviewer = "Patrick J. Rabier", } @Article{Carminati:1995:NUS, author = "J. Carminati and J. S. Debitt and W. D. Scott", title = "On the non-uniqueness of solutions in the modelling of steady wind flows", journal = j-COMP-FLUIDS, volume = "24", number = "2", pages = "177--188", month = feb, year = "1995", CODEN = "CPFLBI", ISSN = "0045-7930 (print), 1879-0747 (electronic)", ISSN-L = "0045-7930", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The two-dimensional, steady, turbulent Navier--Stokes Equations are explored for the case of a logarithmic profile. A general, analytical solution technique is presented, using potential functions; it contains two arbitrary functions. Example solutions are derived with the symbolic manipulator Maple; they show various shear stress profiles derived from a single form for the velocity profile. These stress variations occur within an `equilibrium profile' and are affected by boundary conditions and upstream effects. Shear stress and dynamic roughness values derived from velocity profiles should be used with caution.", acknowledgement = ack-nhfb, affiliation = "Murdoch Univ", affiliationaddress = "Perth, Aust", classification = "443.1; 631.1; 921.2; 921.6; 931.1", fjournal = "Computers and Fluids", journalabr = "Comput Fluids", keywords = "Boundary conditions; Dynamic roughness; Equilibrium profile; Flow visualization; Fluid dynamics; Functions; Logarithmic; Maple; Mathematical models; Navier Stokes equations; Shear stress; Steady wind flows; Stress analysis; Turbulent flow; Upstream effects; Velocity; Velocity profile; Wind", } @Book{CarillodeAlbornoz:1995:MV, author = "Augustin {Carillo de Albornoz} and Immaculada Llamas", title = "{Maple V}", publisher = "RA-MA Editorial", address = "????", pages = "????", year = "1995", ISBN = "84-7897-161-0", ISBN-13 = "978-84-7897-161-9", LCCN = "????", bibdate = "Sat Mar 09 08:40:08 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Cheb-Terrab:1995:SVE, author = "E. S. Cheb-Terrab and A. G. Elfimov", title = "Solution of {Vlasov}'s equation for complicated plasma geometry. {I}. Spherical type", journal = j-COMP-PHYS-COMM, volume = "85", number = "2", pages = "251--266", month = feb, year = "1995", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The asymptotic solution of Vlasov's equation for complicated plasma geometry (spherical type) using the computer algebra system Maple is presented. The approximation of small ion and electron Larmor radii (drift approximation) for a dipole magnetic field configuration modeling the earth's plasmasphere was used. The method of solution introduces elliptic integrals as variables, which makes it possible to obtain results in a relatively simple manner. A bounce resonance factor (connected with trapped particles) different from the one appearing in the Landau damping case is found.", acknowledgement = ack-nhfb, affiliation = "Universidade do Estado do Rio de Janeiro", affiliationaddress = "Rio de Janeiro, Braz", classification = "481.3.2; 723.5; 921.1; 921.2; 921.6; 932.3", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "Algebra; Approximation theory; Asymptotic solution; Bounce resonance factor; Complicated plasma geometry (spherical type); Computational geometry; Computational methods; Computer algebra system (Maple); Computer systems; Differential equations; Dipole magnetic field configuration modeling; Drift approximation; Electron Larmor radii; Geomagnetism; Integral equations; Landau damping; Magnetic fields; Mathematical models; Natural sciences computing; Plasma theory; Problem solving; Small ion Larmor radii; Vlasov equation", } @Book{Corless:1995:EMI, author = "Robert M. Corless", title = "Essential {Maple}: An Introduction for Scientific Programmers", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 218", year = "1995", ISBN = "0-387-94209-2", ISBN-13 = "978-0-387-94209-4", LCCN = "QA76.95 .C68 1995", bibdate = "Tue Jun 06 18:03:27 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$24.95", acknowledgement = ack-nhfb, } @Book{Corless:1995:SRS, author = "Robert M. Corless", title = "Symbolic Recipes: Scientific Computing with {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "300", year = "1995", ISBN = "0-387-94210-6", ISBN-13 = "978-0-387-94210-0", bibdate = "Tue Jun 06 18:03:27 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$39.00", acknowledgement = ack-nhfb, } @Book{Cornil:1995:MIR, author = "J. M. Cornil and P. Testud", title = "{Maple}: Introduction raisonn{\'e}e {\`a} l'usage de l'{\'e}tudiant, de l'ing{\'e}nieur et du chercheur", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "1995", ISBN = "3-540-58923-6", ISBN-13 = "978-3-540-58923-5", LCCN = "????", bibdate = "Sat Mar 09 08:43:17 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Davis:1995:CGM, author = "Phillip J. Davis and Reuben Hersh and Elena Anne Marchisotto", title = "The Companion Guide to the Mathematical Experience", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "vi + 120", year = "1995", ISBN = "0-8176-3849-0", ISBN-13 = "978-0-8176-3849-8", LCCN = "?QA8.4 .D37 1995", bibdate = "Wed Dec 18 16:37:16 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$14.95", URL = "http://www.birkhauser.com/Books/Davis/companion.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @Book{Davis:1995:MES, author = "Phillip J. Davis and Reuben Hersh and Elena Anne Marchisotto", title = "The Mathematical Experience: Study Edition", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xxi + 487", year = "1995", ISBN = "0-8176-3739-7", ISBN-13 = "978-0-8176-3739-2", LCCN = "QA8.4.D37 1995", bibdate = "Thu Dec 28 12:10:36 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$38.50", URL = "http://www.birkhauser.com/Books/Davis/SUMMARY.HTM", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{deJager:1995:USC, author = "Bram {de Jager}", title = "Use of symbolic computation in nonlinear control: Is it viable?", journal = j-IEEE-TRANS-AUTOMAT-CONTR, volume = "40", number = "1", pages = "84--89", month = jan, year = "1995", CODEN = "IETAA9", ISSN = "0018-9286 (print), 1558-2523 (electronic)", ISSN-L = "0018-9286", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "To help along the analysis and design of nonlinear control systems the NONLINCON package, an acronym for Nonlinear Control, was developed. This note addresses the usefulness of symbolic computation, and of the NONLINCON package in particular, for the symbolic analysis and design of nonlinear control systems. The symbolic computation program MAPLE is used as computing substratum. Textbook problems show that the NONLINCON package can be used successfully. A larger scale problem is too complex, however, to be solved with the current versions of NONLINCON and MAPLE. The conclusion is that symbolic computation is a viable approach for textbook problems, but not yet for more complex ones.", acknowledgement = ack-nhfb, affiliation = "Eindhoven Univ of Technology", affiliationaddress = "Eindhoven, Neth", classification = "723.1; 723.5; 731.1; 921.6", fjournal = "IEEE Transactions on Automatic Control", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9", journalabr = "IEEE Trans Autom Control", keywords = "Algorithms; Computational methods; Computer aided analysis; Computer software; Control system analysis; Control system synthesis; Linearization; Mathematical models; Nonlinear control systems; Nonlinear equations; Software package Maple; Software package NONLINCON; State space methods; Symbolic analysis", } @InProceedings{Diaz:1995:CGC, author = "Angel D{\'\i}az and Erich Kaltofen", title = "On Computing Greatest Common Divisors with Polynomials Given By Black Boxes for Their Evaluations", crossref = "Levelt:1995:IIS", pages = "232--239", year = "1995", bibdate = "Thu Mar 12 08:42:30 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p232-diaz/", abstract = "The black box representation of a multivariate polynomial is a function that takes as input a value for each variable and then produces the value of the polynomial. We revisit the problem of computing the greatest common divisor (GCD) in black box format of several multivariate polynomials that themselves are given by black boxes. To this end an improved version of the algorithm sketched by E. Kaltofen and B. Trager (1990) is described. Also the full analysis of the improved algorithm is given. Our algorithm constructs in random polynomial-time a procedure that will evaluate a fixed associate of the GCD at an arbitrary point (supplied as its input) in polynomial time. The randomization of the black box construction is of the Monte-Carlo kind, that is with controllably high probability the procedures evaluating the GCD are correct at all input points. Finally, a Maple prototype implementation as well as our plans for developing a subsystem for manipulating multivariate polynomials and rational functions in black box representation are presented.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Rensselaer Polytech. Inst., Troy, NY, USA", classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C7310 (Mathematics computing)", keywords = "algebraic computation; algorithms; Black box format; Black boxes; Greatest common divisor; Greatest common divisors; languages; Maple prototype implementation; Monte-Carlo method; Multivariate polynomials; Polynomials; Random polynomial-time; Randomization; Rational functions, ISSAC; symbolic computation; theory; verification", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.1} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Expressions and Their Representation, Representations (general and polynomial). {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials. {\bf F.1.3} Theory of Computation, COMPUTATION BY ABSTRACT DEVICES, Complexity Measures and Classes. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Polynomials; Symbol manipulation", } @Book{DiBenedetto:1995:PDE, author = "Emmanuele DiBenedetto", title = "Partial Differential Equations", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xiv + 416", year = "1995", ISBN = "0-8176-3708-7", ISBN-13 = "978-0-8176-3708-8", LCCN = "QA377.D624 1995", bibdate = "Thu Dec 28 12:13:05 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$42.50", URL = "http://www.birkhauser.com/Books/dibenedetto/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @Book{Dodson:1995:EMU, author = "C. T. J. Dodson and E. A. (Elizabeth A.) Gonzalez", title = "Experiments in mathematics using {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "xix + 465", year = "1995", ISBN = "3-540-59284-9", ISBN-13 = "978-3-540-59284-6", LCCN = "QA76.95 .D63 1995", bibdate = "Wed Dec 18 16:38:07 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Douglas:1995:EEA, author = "Scott C. Douglas and Weimin Pan", title = "Exact expectation analysis of the {LMS} adaptive filter", journal = j-IEEE-TRANS-SIG-PROC, volume = "43", number = "12", pages = "2863--2871", month = dec, year = "1995", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.476430", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Fri May 24 09:57:04 MDT 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "In almost all analyses of the least-mean-square (LMS) adaptive filter, it is assumed that the filter coefficients are statistically independent of the input data currently in filter memory, an assumption that is incorrect for shift-input data. In this paper, we present a method for deriving a set of linear update equations that can be used to predict the exact statistical behavior of a finite-impulse-response (FIR) LMS adaptive filter operating upon finite-time correlated input data. Using our method, we can derive exact bounds upon the LMS step size to guarantee mean and mean-square convergence. Our equation-deriving procedure is recursive and algorithmic, and we describe a program written in the MAPLE symbolic-manipulation software package that automates-the derivation for arbitrarily-long adaptive filters operating on input data with stationary statistics. Using our analysis, we present a search algorithm that determines the exact step size mean-square stability bound for a given filter length and input correlation statistics. Extensive computer simulations indicate that the exact analysis is more accurate than previous analyses in predicting adaptation behavior. Our results also indicate that the exact step size bound is much more stringent than the bound predicted by the independence assumption analysis for correlated input data.", acknowledgement = ack-nhfb, affiliation = "Univ of Utah", affiliationaddress = "Salt Lake City, UT, USA", classification = "703.2; 716.1; 721.1; 723.1; 723.5; 921.6", fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", journalabr = "IEEE Trans Signal Process", keywords = "Adaptive filtering; Algorithms; Computer simulation; Computer software; Convergence of numerical methods; Digital filters; Least mean square adaptive filter; Recursive functions; Software package MAPLE; Step size mean square stability bound", } @Book{Edwards:1995:LA, author = "Harold M. Edwards", title = "Linear Algebra", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xiii + 184", year = "1995", ISBN = "0-8176-3731-1", ISBN-13 = "978-0-8176-3731-6", LCCN = "QA184.E355 1995", bibdate = "Thu Dec 28 12:14:10 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$36.50", URL = "http://www.birkhauser.com/Books/edwards/summary.htm", acknowledgement = ack-nhfb, } @InProceedings{Fitzgerald:1995:TEQ, author = "S. Fitzgerald and J. Place", title = "Teaching elementary queueing theory with a computer algebra system", crossref = "Anonymous:1995:STS", journal = j-SIGCSE, volume = "27", number = "1", pages = "350--354", month = mar, year = "1995", CODEN = "SIGSD3", ISSN = "0097-8418 (print), 2331-3927 (electronic)", bibdate = "Mon Sep 30 05:19:32 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Computer algebra systems such as Maple, Mathematica and MACSYMA are readily available for a wide range of PC's and workstations. Many college campuses have site licenses for these software tools and make them widely available to students through PC labs, across networks and on time sharing systems. Additionally student versions of these software tools are widely available at nominal cost. Computer algebra systems provide sophisticated computational support and are intuitive to use. We describe how we use a computer algebra system to support an upper division undergraduate course teaching elementary queueing theory. We discuss the significant enhancement added by using a computer algebra system for this course work. We present the traditional approach to this material, i.e., deriving the closed form solutions for a specific queueing model then we show how we approach the material using numerical solutions based on the general equations for steady state probabilities for a Poisson Birth-Death process. We present several examples and discuss the strengths of our approach.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. and Comput. Sci., Rockhurst Coll., Kansas City, MO, USA", classification = "C1140C (Queueing theory); C7310 (Mathematics computing); C7810C (Computer-aided instruction)", fjournal = "SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688", keywords = "Closed form solutions; Computational support; Computer algebra system; Elementary queueing theory; MACSYMA; Maple; Mathematica; PC labs; Personal computer; Poisson Birth-Death process; Steady state probabilities; Teaching; Time sharing systems; Undergraduate course; Workstations", thesaurus = "Computer aided instruction; Courseware; Educational courses; Mathematics computing; Probability; Queueing theory", } @Book{Fiume:1995:ISS, author = "Eugene L. Fiume", title = "An introduction to scientific, symbolic, and graphical computation", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "xvi + 306", year = "1995", ISBN = "1-56881-051-2", ISBN-13 = "978-1-56881-051-5", LCCN = "QA76.F54 1995", MRclass = "68-01 (65-01)", MRnumber = "95m:68001", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Ian Gladwell", } @Article{Flajolet:1995:CAL, author = "Philippe Flajolet and Bruno Salvy", title = "Computer Algebra Libraries for Combinatorial Structures", journal = j-J-SYMBOLIC-COMP, volume = "20", number = "5--6", pages = "653--672 (or 653--671??)", month = nov # "--" # dec, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68R05 (05Axx 68Q25 68Q40)", MRnumber = "1 395 419", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Symbolic computation in combinatorics $ \Delta_1 $ (Ithaca, NY, 1993).", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing); C1160 (Combinatorial mathematics); C6110B (Software engineering techniques)", corpsource = "Algorithms Project, Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "algebra libraries; algorithms; combinatorial mathematics; combinatorial structures; combstruct; computer; counting sequence; decidable; decomposable structures; equivalent; functions; holonomic sequences; libraries; LUG; manipulation; Maple; random generation; software libraries; symbol; traversal algorithms", treatment = "T Theoretical or Mathematical", } @Article{Fournier:1995:VMS, author = "Robert Fournier and Norbert Kajler and Bernard Mourrain", title = "Visualization of Mathematical Surfaces: the {IZIC} Server Approach", journal = j-J-SYMBOLIC-COMP, volume = "19", number = "1/2/3", pages = "159--174 (or 159--173??)", month = jan # ", " # feb # ", " # mar, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40 (57N05 68U10)", MRnumber = "1 339 116", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Design and implementation of symbolic computation systems (Gmunden, 1993).", acknowledgement = ack-nhfb, affiliation = "INRIA, Sophia Antipolis, France", classcodes = "C6130B (Graphics techniques); C7310 (Mathematics computing); C6180 (User interfaces)", classification = "C6130B (Graphics techniques); C6180 (User interfaces); C7310 (Mathematics computing)", corpsource = "INRIA, Sophia Antipolis, France", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "3D graphic; 3D graphic library; 3D graphic tool; CAS/PI; Colors; colors; colour graphics; Command language; command language; Computer algebra systems; computer algebra systems; Curve manipulation; curve manipulation; data visualisation; Illumination model; illumination model; interactive systems; Interactive tool; interactive tool; IZIC server; Macsyma; manipulation; Maple; Mathematica; Mathematical surface visualization; mathematical surface visualization; mathematics computing; Reduce; Shading; shading; surface; Surface manipulation; symbol manipulation; tool; Transparency; transparency; Unix server; User interface; user interface; user interfaces; Virtual graphic device; virtual graphic device; ZICLIB", thesaurus = "Colour graphics; Data visualisation; Interactive systems; Mathematics computing; Symbol manipulation; User interfaces", treatment = "P Practical; T Theoretical or Mathematical", xxauthor = "R. Fournier and N. Kajler and B. Mourrain", } @Book{Gander:1995:SPS, author = "Walter Gander and Ji{\v{r}}{\i} H{\v{r}}eb{\'\i}{\v{c}}ek", title = "Solving Problems in Scientific Computing Using {Maple} and {MATLAB}", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xv + 315", year = "1995", ISBN = "3-540-58746-2", ISBN-13 = "978-3-540-58746-0", LCCN = "Q183.9 .G36 1995", bibdate = "Wed Aug 30 10:20:23 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "MAPLE (computer file); MATLAB; science -- data processing", } @Article{Garvan:1995:RTE, author = "Frank G. Garvan", title = "{Ramanujan}'s Theories of Elliptic Functions to Alternative Bases --- a Symbolic Excursion", journal = j-J-SYMBOLIC-COMP, volume = "20", number = "5--6", pages = "517--536", month = nov # "--" # dec, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "11Bxx", MRnumber = "1 395 412", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Symbolic computation in combinatorics $ \Delta_1 $ (Ithaca, NY, 1993).", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing)", corpsource = "Dept. of Math., Florida Univ., Gainesville, FL, USA", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "alternative bases; elliptic functions; MAPLE; Ramanujan`s theories; symbol manipulation; symbolic excursion", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Gessel:1995:FIW, author = "Ira M. Gessel", title = "Finding Identities with the {WZ} Method", journal = j-J-SYMBOLIC-COMP, volume = "20", number = "5-6", pages = "537--566", month = nov # "--" # dec, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "05Axx (33Cxx)", MRnumber = "1 395 413", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Symbolic computation in combinatorics $ \Delta_1 $ (Ithaca, NY, 1993).", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing)", corpsource = "Dept. of Math., Brandeis Univ., Waltham, MA, USA", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "(mathematics); duality; duality (mathematics); identities; Maple program; mathematics computing; series; symbol manipulation; terminating hypergeometric series; WZ method; WZ-pairs", treatment = "A Application; P Practical", } @Book{Gomez:1995:CFM, author = "C. Gomez and B. Salvy and P. Zimmermann", title = "Calcul Formel: Mode d'Emploi. Exemples en {Maple}", volume = "13", publisher = pub-MASSON, address = pub-MASSON:adr, edition = "2e tirage avec mise {\`a} jour {Maple V.4}", pages = "xii + 327", year = "1995", ISBN = "2-225-84780-0", ISBN-13 = "978-2-225-84780-6", LCCN = "????", bibdate = "Sat Mar 09 08:48:45 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Logique math{\'e}matiques informatique", acknowledgement = ack-nhfb, } @Book{Greene:1995:CMM, author = "Ronald L. Greene", title = "Classical mechanics with {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 173", year = "1995", ISBN = "0-387-94512-1", ISBN-13 = "978-0-387-94512-5", LCCN = "QC125.2 .G72 1995", bibdate = "Sat Mar 9 08:21:34 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "maple (computer file); mechanics -- data processing", } @Book{Hagin:1995:CEM, author = "Frank G. Hagin and Jack K. Cohen", title = "Calculus Explorations with {Maple}", publisher = pub-PH, address = pub-PH:adr, pages = "????", year = "1995", ISBN = "0-13-328576-6", ISBN-13 = "978-0-13-328576-5", LCCN = "????", bibdate = "Sat Mar 09 08:50:17 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Harris:1995:DCM, author = "Kent Harris and Robert J. Lopez", title = "Discovering calculus with {Maple}", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Second", pages = "344", year = "1995", ISBN = "0-471-00973-3", ISBN-13 = "978-0-471-00973-3", LCCN = "QA303.5.D37 H37 1995", bibdate = "Wed Aug 30 10:33:26 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Heal:1995:MVM, author = "K. M. Heal and M. L. Hansen and K. M. Rickard", title = "{Maple V} Mathematics Learning Guide", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 269", year = "1995", ISBN = "0-387-94536-9", ISBN-13 = "978-0-387-94536-1", LCCN = "QA155.7.E4 H42 1996", bibdate = "Wed Dec 18 16:38:41 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "With the editorial assistance of J. S. Devitt; based in part on the work of B. W. Char.", price = "US\$24.00", acknowledgement = ack-nhfb, } @Book{Heck:1996:IM, author = "Andr{\'e} Heck", title = "Introduction to {Maple}", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xx + 699", year = "1996", DOI = "https://doi.org/10.1007/978-1-4684-0484-5", ISBN = "0-387-94535-0 (hardcover), 1-4684-0484-9, 1-4684-0486-5", ISBN-13 = "978-0-387-94535-4 (hardcover), 978-1-4684-0484-5, 978-1-4684-0486-9", LCCN = "QA155.7.E4H43 1993", MRclass = "65-01, 65B10, 65D18, 65Dxx, 65Fxx, 65Lxx, 68-01, 68N15, 68W30, 68NXX", MRnumber = "MR1405611 (97c:68076)", bibdate = "Tue Jun 06 17:57:02 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", price = "US\$39.00", abstract = "The first edition of this book has been very well received by the community. The new version 4 of Maple V contains so many new mathematical features and improvements in the user interface that Waterloo Maple Inc. markets it as ``the Power Edition.'' These two facts have made it necessary to write a second edition within a short period of the first. I corrected typographical errors, rephrased text, updated and improved many examples, and added much new material. Hardly any chapter has been left untouched. Substantially changed or added sections and chapters address the assume facility, I/O, approximation theory, integration, composite data types, simplification, graphics, differential equations, and matrix algebra. Tables summarize features, command options, etc., and constitute a quick reference. The enlarged index of the book has been carefully compiled to make locating search items quick and easy. Many new examples have been included showing how to use Maple as a problem solver, how to assist the system during computations, and how to extend its built-in facilities. About the Maple Version Used: The second edition of this book is fully revised and updated to Maple V Release 4. More precisely, the second edition of this book was produced with Maple V Release 4, beta 3 on a SUN SPARCstation 20, Model 71. There should be hardly any difference between this beta version and the final release; only minor differences in the user interface are not excluded.", acknowledgement = ack-nhfb, tableofcontents = "Preface to the Second Edition / v \\ Preface to the First Edition / ix \\ List of Tables / xix \\ 1 Introduction to Computer Algebra / 1 \\ 1.1 What is Computer Algebra? / 1 \\ 1.2 Computer Algebra Systems / 2 \\ 1.3 Some Properties of Computer Algebra Systems / 5 \\ 1.4 Advantages of Computer Algebra / 11 \\ 1.5 Limitations of Computer Algebra / 24 \\ 1.6 Design of Maple / 30 \\ 2 The First Steps: Calculus on Numbers / 35 \\ 2.1 Getting Started / 35 \\ 2.2 Getting Help / 38 \\ 2.3 Integers and Rational Numbers / 44 \\ 2.4 Irrational Numbers and Floating-Point Numbers / 48 \\ 2.5 Algebraic Numbers / 54 \\ 2.6 Complex Numbers / 59 \\ 2.7 Exercises / 63 \\ 3 Variables and Names / 65 \\ 3.1 Assignment and Unassignment / 65 \\ 3.2 Evaluation / 73 \\ 3.3 Names of Variables / 77 \\ 3.4 Basic Data Types / 82 \\ 3.5 Attributes / 86 \\ 3.6 Properties / 87 \\ 3.7 Exercises / 92 \\ 4 Getting Around with Maple / 95 \\ 4.1 Maple Input and Output / 95 \\ 4.2 The Maple Library / 101 \\ 4.3 Reading and Writing Files / 105 \\ 4.4 Importing and Exporting Numerical Data / 110 \\ 4.5 Low-Level I/O / 113 \\ 4.6 Code Generation / 123 \\ 4.7 Changing Maple to Your Own Taste / 129 \\ 4.8 Exercises / 133 \\ 5 Polynomials and Rational Functions / 135 \\ 5.1 Univariate Polynomials / 135 \\ 5.2 Multivariate Polynomials / 140 \\ 5.3 Rational Functions / 142 \\ 5.4 Conversions / 144 \\ 5.5 Exercises / 147 \\ 6 Internal Data Representation and Substitution / 149 \\ 6.1 Internal Representation of Polynomials / 149 \\ 6.2 Generalized Rational Expressions / 155 \\ 6.3 Substitution / 158 \\ 6.4 Exercises / 170 \\ 7 Manipulation of Polynomials and Rational Expressions / 173 \\ 7.1 Expansion / 173 \\ 7.2 Factorization / 176 \\ 7.3 Canonical Form and Normal Form / 179 \\ 7.4 Normalization / 181 \\ 7.5 Collection / 183 \\ 7.6 Sorting / 186 \\ 7.7 Exercises / 186 \\ 8 Functions / 189 \\ 8.1 Mathematical Functions / 189 \\ 8.2 Arrow Operators / 193 \\ 8.3 Piecewise Defined Functions / 195 \\ 8.4 Maple Procedures / 202 \\ 8.5 Recursive Procedure Definitions / 204 \\ 8.6 unapply / 209 \\ 8.7 Operations on Functions / 210 \\ 8.8 Anonymous Functions / 211 \\ 8.9 Exercises / 212 \\ 9 Differentiation / 213 \\ 9.1 Symbolic Differentiation / 213 \\ 9.2 Automatic Differentiation / 221 \\ 9.3 Exercises / 224 \\ 10 Integration and Summation / 227 \\ 10.1 Indefinite Integration / 227 \\ 10.2 Definite Integration / 236 \\ 10.3 Numerical Integration / 241 \\ 10.4 Integral Transforms / 242 \\ 10.5 Assisting Maple's Integrator / 252 \\ 10.6 Summation / 256 \\ 10.7 Exercises / 261 \\ 11 Series, Approximation, and Limits / 267 \\ 11.1 Truncated Series / 267 \\ 11.2 Approximation of Functions / 278 \\ 11.3 Power Series / 285 \\ 11.4 Limits / 288 \\ 11.5 Exercises / 291 \\ 12 Composite Data Types / 293 \\ 12.1 Sequence / 293 \\ 12.2 Set / 296 \\ 12.3 List / 298 \\ 12.4 Array / 304 \\ 12.5 Table / 310 \\ 12.6 Last Name Evaluation / 314 \\ 12.7 Function Call / 317 \\ 12.8 Conversion Between Composite Data Types / 319 \\ 12.9 Exercises / 322 \\ 13 The Assume Facility / 325 \\ 13.1 The Need for an Assume Facility / 325 \\ 13.2 Basics of assume / 329 \\ 13.3 An Algebra of Properties / 332 \\ 13.4 Implementation of assume / 335 \\ 13.5 Exercises / 340 \\ 13.6 Hierarchy of Properties / 340 \\ 14 Simplification / 343 \\ 14.1 Automatic Simplification / 344 \\ 14.2 expand / 346 \\ 14.3 combine / 353 \\ 14.4 simplify / 358 \\ 14.5 convert / 364 \\ 14.6 Trigonometrie Simplification / 367 \\ 14.7 Simplification w.r.t. Side Relations / 370 \\ 14.8 Control Over Simplification / 374 \\ 14.9 Defining Your Own Simplification Routines / 378 \\ 14.10 Exercises / 383 \\ 14.11 Simplification Chart / 385 \\ 15 Graphics / 387 \\ 15.1 Some Basic Two-Dimensional Plots / 389 \\ 15.2 Options of plot / 393 \\ 15.3 The Structure of Two-Dimensional Graphics / 406 \\ 15.4 The p l o t t o o l s Package / 412 \\ 15.5 Special Two-Dimensional Plots / 416 \\ 15.6 Two-Dimensional Geometry / 429 \\ 15.7 Plot Aliasing / 432 \\ 15.8 A Common Mistake / 433 \\ 15.9 Some Basic Three-Dimensional Plots / 434 \\ 15.10 Options of plot3d / 436 \\ 15.11 The Structure of Three-Dimensional Graphics / 444 \\ 15.12 Special Three-Dimensional Plots / 449 \\ 15.13 Data Plotting / 457 \\ 15.14 Animation / 467 \\ 15.15 List of Plot Options / 469 \\ 15.16 Exercises / 475 \\ 16 Solving Equations / 479 \\ 16.1 Equations in One Unknown / 479 \\ 16.2 Abbreviations in solve / 480 \\ 16.3 Some Difficulties / 481 \\ 16.4 Systems of Equations / 488 \\ 16.5 The Gr{\"o}bner Basis Method / 499 \\ 16.6 Inequalities / 505 \\ 16.7 Numerical Solvers / 507 \\ 16.8 Other Solvers in Maple / 509 \\ 16.9 Exercises / 515 \\ 17 Differential Equations / 519 \\ 17.1 First Glance at ODEs / 519 \\ 17.2 Analytic Solutions / 520 \\ 17.3 Taylor Series Method / 532 \\ 17.4 Power Series Method / 534 \\ 17.5 Numerical Solutions / 536 \\ 17.6 DEtools / 548 \\ 17.7 Perturbation Methods / 555 \\ 17.8 Partial Differential Equations / 567 \\ 17.9 Lie Point Symmetries of PDEs / 569 \\ 17.10 Exercises / 572 \\ 18 Linear Algebra: The l i n a i g Package / 575 \\ 18.1 Loading the l i n a i g Package / 575 \\ 18.2 Creating New Vectors and Matrices / 576 \\ 18.3 Vector and Matrix Arithmetic / 580 \\ 18.4 Basic Matrix Functions / 584 \\ 18.5 Structural Operations / 589 \\ 18.6 Vector Operations / 592 \\ 18.7 Standard Forms of Matrices / 592 \\ 18.8 Exercises / 597 \\ 19 Linear Algebra: Applications / 601 \\ 19.1 Kinematics of the Stanford Manipulator / 601 \\ 19.2 A Three-Compartment Model of Cadmium Transfer / 606 \\ 19.3 Molecular-Orbital H{\"u}ckel Theory / 618 \\ 19.4 Vector Analysis / 623 \\ 19.5 Moore--Penrose Inverse / 631 \\ 19.6 Exercises / 633 \\ References / 635 \\ Index / 651", } @Article{Heck:1995:IMb, author = "Andre Heck and Wolfram Koepf", title = "Introduction to {Maple}", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "132--??", year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Book{Horbatsch:1995:QMU, author = "Marko Horbatsch", title = "Quantum mechanics using {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "x + 331", year = "1995", ISBN = "3-540-58875-2", ISBN-13 = "978-3-540-58875-7", LCCN = "QC174.17.D37 H67 199", bibdate = "Wed Aug 30 10:07:00 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Horhager:1995:MTN, author = "M. H{\"o}rhager", title = "{Maple in Technik und Naturwissenschaft}", publisher = "????", address = "????", pages = "????", month = dec, year = "1995", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:49:18 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Hrebicek:1995:SVM, author = "J. Hr{\v{e}}b{\'\i}{\v{c}}ek", title = "Scientific Visualization with {MAPLE}", crossref = "Skala:1995:CGV", pages = "366--375", year = "1995", bibdate = "Tue Mar 25 09:05:23 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Maple is a computer environment for doing mathematics and solving scientific problems. Maple is powerful tool for mathematicians, physicists, chemists, engineers, teachers,\ldots{}, in short, for anybody who needs to do mathematical computations. Symbolic and numerical computations and computer visualization can all be done with Maple. The breadth of Maple's functionality is wide-topics from symbolic manipulation with expressions, calculus, linear algebra, differential equations, geometry, statistics and many other mathematical areas are covered. Maple's 2D and 3D graphics provide you with the power of scientific visualization functions and expressions in both one and two unknowns, as well as parametric equations, and sets of points can be represented graphically. There are about 30 types of special plots, as well as many available options for customising the way each graphic is displayed.", acknowledgement = ack-nhfb, affiliation = "Waterloo MAPLE Software GmbH, Heidelberg, Germany", classification = "C6130B (Graphics techniques); C7310 (Mathematics computing)", keywords = "Computer algebra; Display customization; Graphical representation; Maple; Mathematical computations; Numerical computations; Parametric equations; Point sets; Scientific visualization; Special plots; Symbolic computations", thesaurus = "Data visualisation; Natural sciences computing; Software packages; Symbol manipulation", } @Article{Hutton:1995:MCA, author = "J. Hutton and J. Hutton", title = "The {Maple} Computer Algebra System", journal = j-J-APPL-ECONOMETRICS, volume = "10", number = "3", pages = "329--??", year = "1995", CODEN = "JAECET", ISSN = "0883-7252 (print), 1099-1255 (electronic)", ISSN-L = "0883-7252", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Applied Econometrics", } @Book{Kamerich:1995:GM, author = "Ernic Kamerich", title = "A Guide to {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "335", year = "1995", ISBN = "0-387-94116-9", ISBN-13 = "978-0-387-94116-5", LCCN = "QA76.95 .K355 1995", bibdate = "Tue Jun 06 18:02:31 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$29.00", acknowledgement = ack-nhfb, } @Book{Karian:1995:PSE, author = "Zaven A. Karian and Elliot A. Tanis", title = "Probability and statistics explorations with {Maple}", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 226", year = "1995", ISBN = "0-13-436759-6", ISBN-13 = "978-0-13-436759-0", LCCN = "QA273.19.E4 K37 1995", bibdate = "Tue Apr 29 20:39:05 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/probstat1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Probabilities; Data processing; Mathematical statistics; Maple (Computer file)", } @Book{Kirkwood:1995:AIE, author = "J. R. Kirkwood", title = "Annotated Instructor's Edition to accompany {{\em Calculus Projects for Maple\/}}", publisher = pub-WCB, address = pub-WCB:adr, pages = "????", year = "1995", ISBN = "0-697-25488-7", ISBN-13 = "978-0-697-25488-7", bibdate = "Wed Aug 30 09:31:37 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Komma:1995:MPM, author = "Michael Komma", title = "{Moderne Physik mit Maple}", publisher = pub-ITP, address = pub-ITP:adr, pages = "????", month = nov, year = "1995", ISBN = "3-929821-81-8", ISBN-13 = "978-3-929821-81-9", LCCN = "????", bibdate = "Sat Mar 09 08:56:40 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Labelle:1995:CVM, author = "Gilbert Labelle and Louise Laforest", title = "Combinatorial variations on multidimensional quadtrees", journal = j-J-COMB-THEORY-A, volume = "69", number = "1", pages = "1--16", year = "1995", CODEN = "JCBTA7", ISSN = "0097-3165 (print), 1096-0899 (electronic)", ISSN-L = "0097-3165", MRclass = "05A16 (05C05)", MRnumber = "95m:05018", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Combinatorial Theory (Series A)", journal-URL = "http://www.sciencedirect.com/science/journal/00973165", keywords = "Maple", reviewer = "SeungKyung Park", } @Book{Leroux:1995:AM, author = "Alain Leroux", title = "Applications de {Maple}", publisher = "Librairie Vuibert", address = "????", pages = "????", year = "1995", ISBN = "2-7117-8859-8", ISBN-13 = "978-2-7117-8859-0", LCCN = "????", bibdate = "Sat Mar 09 08:58:19 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Liao:1995:EHP, author = "Hsin-Chao Liao and Richard J. Fateman", title = "Evaluation of the heuristic polynomial {GCD}", crossref = "Levelt:1995:IIS", pages = "240--247", year = "1995", bibdate = "Thu Mar 12 08:42:30 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p240-liao/", abstract = "The heuristic polynomial GCD procedure (GCDHEU) is used by the Maple computer algebra system, but no other. Because Maple has an especially efficient kernel that provides fast integer arithmetic, but a relatively slower interpreter for non-kernel code, the GCDHEU routine is especially effective in that it moves much of the computation into `bignum' arithmetic and hence executes primarily in the kernel. We speculated that in other computer algebra systems an implementation of GCDHEU would not be advantageous. In particular, if all the system code is compiled to run at `full speed' in a (presumably more bulky) kernel that is entirely written in C or compiled Lisp, then there would seem to be no point in recasting the polynomial GCD problem into a bignum GCD problem. Manipulating polynomials that are vectors of coefficients would seem to be equivalent computationally to manipulating vectors of big digits. Yet our evidence suggests that one can take advantage of the GCDHEU in a Lisp system as well. Given a good implementation of bignums, for most small problems and many large ones, a substantial speedup can be obtained by the appropriate choice of GCD algorithm, including often enough, the GCDHEU approach. Another major winner seem to be the subresultant polynomial remainder sequence algorithm. Because more sophisticated sparse algorithms are relatively slow on small problems and only occasionally emerge as superior (on larger problems) it seems the choice of a fast GCD algorithm is tricky.", acknowledgement = ack-nhfb, affiliation = "Comput. Sci. Div., California Univ., Berkeley, CA, USA", classification = "C4130 (Interpolation and function approximation); C6130 (Data handling techniques); C6140D (High level languages); C7310 (Mathematics computing)", keywords = "algebraic computation; algorithms; C language; Compiled Lisp; Computer algebra systems; Heuristic polynomial GCD; Integer arithmetic; ISSAC; languages; Maple computer algebra system; Sparse algorithms; symbolic computation; System code", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Number-theoretic computations. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "C language; LISP; Polynomials; Symbol manipulation", } @InProceedings{Lisle:1995:ADS, author = "I. G. Lisle and G. J. Reid and A. Boulton", title = "Algorithmic determination of structure of infinite {Lie} pseudogroups of symmetries of {PDEs}", crossref = "Levelt:1995:IIS", pages = "1--6", year = "1995", bibdate = "Thu Mar 12 08:42:30 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p1-lisle/", abstract = "We describe a method which uses a finite number of differentiations and linear operations to determine the Cartan structure coefficients of a structurally transitive Lie pseudogroup from its infinitesimal defining equations. If the defining system is of first order and the pseudogroup has no scalar invariants, the structure coefficients can be simply extracted from the coefficients of the infinitesimal system. We give an algorithm which reduces the higher order case to the first order case. The reduction process uses only differentiation and linear eliminations, for which several well-known algorithms are available. Our method makes feasible the calculation of the Cartan structure of infinite Lie pseudogroups of symmetries of differential equations. Examples including the KP equation and Liouville's equation are given.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., British Columbia Univ., Vancouver, BC, Canada", classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations); C7310 (Mathematics computing)", keywords = "algebraic computation; algorithms; Cartan structure coefficients; Differentiation; KP equation; languages; Lie pseudogroups; Linear eliminations; Liouville's equation, ISSAC; PDEs; Reduction; Structurally transitive Lie pseudogroup; symbolic computation; theory", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General.", thesaurus = "Differentiation; Lie groups; Partial differential equations; Symbol manipulation", } @Article{Mahyat:1995:UMD, author = "M. Mahyat and A. Naifi and D. Elhajji and M. Ankrim", title = "Using {Maple} to drive the closed-form identification model of robotics manipulator", journal = j-MODELLING-MEASUREMENT-CONTROL-B, volume = "58", number = "1-2", pages = "53--63", year = "1995", CODEN = "MMBTEC", ISSN = "0761-2516", bibdate = "Sat Aug 17 09:04:53 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Industrial robots are mechanical manipulators whose dynamic characteristics are highly nonlinear. In spite of these non-linearity the generalized force are linear function of the homogeneous inertial matrix of each link. Based on this property we propose a symbolic method for generating identification model of serial robots. Programs are presented to compute the identification model in symbolic closed forms by using the algebraic manipulation SOFTWARE MAPLE. Example are given for Cyber-310 arm and the efficiency of these computation is discussed.", acknowledgement = ack-nhfb, affiliation = "Universite Cadi Ayyad", affiliationaddress = "Maroc, Morocco", classification = "723; 731.1; 731.5; 921.1; 921.6; 931.1", fjournal = "Modelling, Measurement \& Control B: Solid \& Fluid Mechanics \& Thermics, Mechanical Systems", journalabr = "Modell Meas Control B", keywords = "Calculations; Computer software; Control nonlinearities; Degrees of freedom (mechanics); Identification (control systems); Industrial robots; Linear function; Manipulators; Mathematical models; Matrix algebra; Nonlinear systems; Robotic arms; Robotics; Serial robots; Software Package MAPLE; Symbolic computation; Vectors", } @Article{Ogunye:1995:CSG, author = "Ayowale B. Ogunye and Alexander Penlidis", title = "Computation of system {Gramians} and balanced realizations using {Maple V}", journal = j-INT-J-SYST-SCI, volume = "26", number = "4", pages = "899--926", month = apr, year = "1995", CODEN = "IJSYA9", ISSN = "0020-7721 (print), 1464-5319 (electronic)", ISSN-L = "0020-7721", bibdate = "Fri May 24 09:57:04 MDT 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The determination of system gramians and balanced realizations has been carried out using a computer algebra system (Maple V) with symbolic, numerical, graphical and programming capabilities, in order to demonstrate the applicability of computer algebra in advanced process control. The calculations involved are complex, tedious and error prone, even for simple examples. The use of Maple V has provided symbolic and numerical results, quickly and efficiently, with a tremendous gain in time and with minimal effort.", acknowledgement = ack-nhfb, affiliation = "Univ of Waterloo", affiliationaddress = "Waterloo, Ont, Can", classification = "723.5; 731.1; 731.3; 921.1; 921.3; 921.6", fjournal = "International Journal of Systems Science", journal-URL = "http://www.tandfonline.com/loi/tsys20", journalabr = "Int J Syst Sci", keywords = "Algebra; Balanced realizations; Computational methods; Computer algebra system; Computer simulation; Computer software Maple V; Control theory; Controllability; Eigenvalues and eigenfunctions; Inverse problems; Laplace transforms; Linear control systems; Observability; Process control; System gramians; Z transforms", } @Article{Ozaki:1995:CFD, author = "Hideshi Ozaki and Kiyoshi Shirayanagi", title = "Calculation of floating decimal {Gr{\"o}bner} bases using {Maple}'s interval package", journal = "S\=urikaisekikenky\=usho K\=oky\=uroku", volume = "920", pages = "38--52", year = "1995", MRclass = "65Y15 (68Q40)", MRnumber = "MR1398457", bibdate = "Sat Apr 16 17:29:05 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Research on the theory and applications of computer algebra (Japanese) (Kyoto, 1994)", fjournal = "S\=urikaisekikenky\=usho K\=oky\=uroku", } @Article{Pirastu:1995:PCI, author = "Roberto Pirastu and Kurt Siegl", title = "Parallel computation and indefinite summation: a {$ {\Vert } $MAPLE$ {\Vert } $} application for the rational case", journal = j-J-SYMBOLIC-COMP, volume = "20", number = "5-6", pages = "603--616", month = nov # "--" # dec, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "33Cxx (65D20), 33C20 (33-04 65D20)", MRnumber = "MR1395416 (97j:33006)", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Symbolic computation in combinatorics $ \Delta_1 $ (Ithaca, NY, 1993).", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing); C6110P (Parallel programming); C1160 (Combinatorial mathematics)", corpsource = "RISC-Linz, Johannes Kepler Univ., Linz, Austria", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "closed form for sums; combinatorial mathematics; combinatorics; complexity analysis; functions; indefinite summation; manipulation; MAPLE; parallel algorithms; parallel implementation; parallel Maple; rational; special; symbol", treatment = "T Theoretical or Mathematical", } @Article{Place:1995:UCA, author = "Jerry Place and Sue Fitzgerald", title = "Using a computer algebra system ({Maple}) to teach elementary queueing theory", journal = j-COMPUT-APPL-ENG-EDUC, volume = "3", number = "1", pages = "65--73", year = "1995", CODEN = "CAPEED", ISSN = "1061-3773 (print), 1099-0542 (electronic)", ISSN-L = "1061-3773", bibdate = "Fri May 24 09:57:04 MDT 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Computer algebra systems such as Maple, Mathematica, and MACSYMA are readily available for a wide range of PCs and workstations. Many college campuses have site licenses for these software tools and make them widely available to students through PC labs, across networks, and on time-sharing systems. In addition, student versions of these software tools are widely available at nominal cost. Computer algebra systems provide sophisticated computational support and are intuitive to use. In this article we describe how we use Maple to support an upper-division undergraduate course teaching elementary queueing theory. We discuss the significant enhancement added by using Maple for this coursework. We present the traditional approach to this material (i.e., deriving the closed form solutions for a specific queueing model), then we show how we approach the material using numerical solutions based on the general equations for steady state probabilities for a Poisson Birth-Death process. We present several examples and discuss the strengths of our approach.", acknowledgement = ack-nhfb, affiliation = "Univ of Missouri-Kansas City", affiliationaddress = "Kansas City, MO, USA", classification = "722.4; 723.1; 723.5; 901.2; 921.1; 922.1", fjournal = "Computer Applications in Engineering Education", journalabr = "Comput Appl Eng Educ", keywords = "Algebra; Computational methods; Computer aided instruction; Computer aided software engineering; Computer algebra system; Computer workstations; Elementary queueing theory; Engineering education; Maple; Mathematical models; Personal computers; Poisson Birth Death process; Probability; Queueing theory; Teaching; Time sharing systems", } @Book{Preiser:1995:CM, author = "U. Preiser and N. Mondel", title = "Campusline {Maple}", publisher = "tewi-Verlag", address = "????", pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:48:58 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Raade:1995:MHS, author = "Lennart R{\aa}de and Bertil Westergren", title = "Mathematics Handbook for Science and Engineering", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "539", year = "1995", ISBN = "0-8176-3858-X", ISBN-13 = "978-0-8176-3858-0", LCCN = "QA41 .R33 1995", bibdate = "Wed Dec 18 16:39:03 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$45.00", URL = "http://www.birkhauser.com/Books/rade/summary.htm", acknowledgement = ack-nhfb, } @Book{Redfern:1995:PAU, author = "Darren Redfern", title = "The Practical Approach Utilities for {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "400", year = "1995", ISBN = "0-387-14221-5", ISBN-13 = "978-0-387-14221-0", LCCN = "QA76.95.R434 1995", bibdate = "Wed Jul 23 09:42:10 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$69.00", acknowledgement = ack-nhfb, } @Book{Rincon:1995:CCC, author = "Felix Rincon and Alfonsa Garcia and Angeles Martinez", title = "Calcul cientifico con {Maple}", publisher = "RA-MA Editorial", address = "????", pages = "????", year = "1995", ISBN = "84-7897-199-8", ISBN-13 = "978-84-7897-199-2", LCCN = "????", bibdate = "Sat Mar 09 09:01:32 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Schwalbe:1995:DEU, author = "D. Schwalbe", title = "Differential Equations Using {Maple}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:50:20 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Scott:1995:CAM, author = "T. Scott", title = "Computer Algebra and the Magic of {Maple}", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:50:58 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Snyder:1995:ACA, author = "R. Snyder", title = "Applications of a computer algebra system in introductory statistics", journal = j-BEHAV-RES-METH-INSTR-COMP, volume = "27", number = "2", pages = "139--143", month = may, year = "1995", CODEN = "BRMCEW", ISSN = "0743-3808 (print), 1532-5970 (electronic)", ISSN-L = "0743-3808", bibdate = "Mon Sep 30 05:14:59 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Maple, a computer algebra system, is employed in introductory statistics courses to promote conceptual learning by students of statistical principles without direct use of mathematics. Maple's symbolic computation, graphic display, and animation capabilities support an integrated set of procedures for active study of sampling distributions and concepts related to samples, populations, and statistical decision making, error, and power. Students select parameter values for one-line commands and examine the effects of alternatives on computer-generated graphical representations of distributions. The 20 procedures written to support active student exploration of basic statistical concepts are described, and examples of exercises to support their use are provided.", acknowledgement = ack-nhfb, affiliation = "Denison Univ., Granville, OH, USA", classification = "C1140 (Probability and statistics); C6130B (Graphics techniques); C7310 (Mathematics computing); C7810C (Computer-aided instruction)", fjournal = "Behavior Research Methods, Instruments, and Computers", journal-URL = "http://link.springer.com/journal/13428", keywords = "Animation capabilities; Computer algebra system; Conceptual learning; Graphic display; Introductory statistics; Maple; Parameter values; Statistical decision making; Statistical principles; Students; Symbolic computation", thesaurus = "Computer aided instruction; Data visualisation; Statistical analysis; Symbol manipulation", } @Article{Sokolsky:1995:GNR, author = "Andrej G. Sokolsky and Akmal A. Vakhidov and Nickolay N. Vasiliev", title = "Generating a New Recurrence Relations System for Elliptic {Hansen} Coefficients by Means of Computer Algebra", journal = j-SIGSAM, volume = "29", number = "2S (special issue)", pages = "16--18", month = jun, year = "1995", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:04 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "The problem of obtaining a new system of recurrence relations for elliptic Hansen coefficients is solved by means of a computer algebra system MAPLE. Possibilities for the generation of new recurrence relations by means of the MAPLE-package LINALG are shown for the case of linear relations. As an example, advantages to use the obtained recurrence relations in an artificial satellite motion theory within elliptic functions are described.", acknowledgement = ack-nhfb, affiliation = "Inst. of Theor. Astron., Acad. of Sci., St. Petersburg, Russia", classcodes = "C7310 (Mathematics computing); C4170 (Differential equations)", classification = "C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Inst. of Theor. Astron., Acad. of Sci., St. Petersburg, Russia", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "Artificial satellite motion theory; artificial satellite motion theory; artificial satellites; Computer algebra; computer algebra; elliptic equations; Elliptic functions; elliptic functions; elliptic Hansen coefficients; Elliptic Hansen coefficients; LINALG; linear relations; Linear relations; MAPLE; packages; recurrence relations system; Recurrence relations system; software; symbol manipulation", thesaurus = "Artificial satellites; Elliptic equations; Software packages; Symbol manipulation", treatment = "T Theoretical or Mathematical", } @Book{SotoPrieto:1995:ALC, author = "Manuel Jesus {Soto Prieto} and Vicente Cordoba and Jose {Luis, aut}", title = "Algebra lineal: con {Matlab} y {Maple}", publisher = pub-PH, address = pub-PH:adr, pages = "viii + 301", year = "1995", ISBN = "0-13-526815-X", ISBN-13 = "978-0-13-526815-5", LCCN = "????", bibdate = "Tue Jun 25 12:05:09 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Algebras lineales", } @Article{Stembridge:1995:MPS, author = "John R. Stembridge", title = "A {Maple} Package for Symmetric Functions", journal = j-J-SYMBOLIC-COMP, volume = "20", number = "5-6", pages = "755--768", month = nov # "--" # dec, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "05E05 (65Y15), 05Exx (65Y15)", MRnumber = "MR1395426 (97j:05061)", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Symbolic computation in combinatorics $ \Delta_1 $ (Ithaca, NY, 1993).", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing); C1110 (Algebra)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "functions; Hall--Littlewood functions; Jack symmetric functions; Maple package; parameter symmetric functions; polynomial expressions; polynomials; Schur functions; symbol manipulation; symmetric functions; symmetric polynomials; two-; Zonal polynomials", treatment = "T Theoretical or Mathematical", } @Article{Taylor:1995:CEM, author = "R. Taylor and K. Atherley", title = "Chemical Engineering with {Maple}", journal = j-CEE, volume = "29", number = "1", pages = "56--??", year = "1995", CODEN = "CHEDAY", ISSN = "0009-2479", bibdate = "Sun Feb 4 17:20:38 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "CEE. Chemical engineering education", } @Article{Ulmer:1995:NKA, author = "Felix Ulmer and Jacques-Arthur Weil", title = "Note on {Kovacic}'s Algorithm", journal = j-SIGSAM, volume = "29", number = "2", pages = "10--11", month = apr, year = "1995", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Thu Mar 20 16:02:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "J. Kovacic (J. Symb. Comp., vol. 2, pp. 3-43, 1986) gave an algorithm for solving second-order linear homogeneous differential equations. This algorithm, known as the Kovacic algorithm, computes the Liouvillian solutions of L(y)=y'-ry=0 (with r in C(x)). Since exponential solutions of linear differential equations are in general more difficult to compute than rational solutions, we propose an algorithm where rational solutions of symmetric powers are used as much as possible instead of exponential solutions. The advantage of our approach is (1) to give a simple proof of a Kovacic-like algorithm for arbitrary coefficient fields and to give a complete overview of all the possible polynomials; (2) to provide an easy-to-implement algorithm using only rational solutions for completely reducible groups G(L) contained in SL(2,C); and (3) to avoid algebraic extensions of the constant field by using rational solutions instead of exponential solutions of symmetric powers. The algorithm as been implemented in the Maple system and should soon find its way into the Maple share library. The new version is always faster than the current Maple implementation of the Kovacic algorithm, especially for example where G(L) is a finite primitive subgroup of SL(2,C) and where the current implementation fails to answer in most cases.", acknowledgement = ack-nhfb, affiliation = "Rennes I Univ., France", classcodes = "C4170 (Differential equations); C7310 (Mathematics computing)", classification = "C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Rennes I Univ., France", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "2nd-order linear homogeneous differential; 2Nd-order linear homogeneous differential equations; arbitrary coefficient; Arbitrary coefficient fields; Completely reducible groups; completely reducible groups; constant; Constant field algebraic extensions; differential equations; equations; Exponential solutions; exponential solutions; field algebraic extensions; fields; finite; Finite primitive subgroup; group theory; Kovacic algorithm; Liouvillian solutions; Maple share library; mathematics computing; polynomials; Polynomials; polynomials; primitive subgroup; rational solutions; Rational solutions; symbol manipulation; symmetric powers; Symmetric powers", thesaurus = "Differential equations; Group theory; Mathematics computing; Polynomials; Symbol manipulation", treatment = "P Practical; T Theoretical or Mathematical", } @InProceedings{vanHoeij:1995:ACW, author = "Mark {van Hoeij}", title = "An algorithm for computing the {Weierstrass} normal form", crossref = "Levelt:1995:IIS", pages = "90--95", year = "1995", bibdate = "Thu Mar 12 08:42:30 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p90-van_hoeij/", abstract = "The paper describes an algorithm for computing a normal form $ y^2 + x^3 + a x + b $ for algebraic curves with genus 1. The corresponding isomorphism of function-fields is also computed.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Nijmegen Univ., Netherlands", classification = "C1110 (Algebra); C4240 (Programming and algorithm theory); C6130 (Data handling techniques)", keywords = "algebraic computation, Algorithm; Algebraic curves; algorithms; Function field isomorphism; Genus 1; ISSAC; symbolic computation; theory; verification; Weierstrass normal form computation", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials.", thesaurus = "Algebra; Algorithm theory; Symbol manipulation", } @Book{Vardi:1995:ISC, author = "Ilan Vardi", title = "Introduction to Symbolic Computation", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "320", year = "1995", ISBN = "0-387-94147-9", ISBN-13 = "978-0-387-94147-9", bibdate = "Tue Jun 06 17:46:02 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Covers C, Fortran, Maple, and Mathematica.", price = "US\$49.95", acknowledgement = ack-nhfb, } @Book{Vetsch:1995:SMP, author = "M. Vetsch", title = "{Die Sprache Maple. Probleme, Beispiele, L{\"o}sungen}", publisher = pub-ITCP, address = pub-ITCP:adr, pages = "????", year = "1995", ISBN = "3-929821-22-2", ISBN-13 = "978-3-929821-22-2", bibdate = "Wed Aug 30 10:49:39 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Vilenkin:1995:SI, author = "N. Ya. Vilenkin", title = "In Search of Infinity", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "145", year = "1995", ISBN = "0-8176-3819-9, 3-7643-3819-9", ISBN-13 = "978-0-8176-3819-1, 978-3-7643-3819-0", LCCN = "QA9.V5513 1995", bibdate = "Thu Dec 28 11:59:59 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Translated from Russian and edited by Abe Shenitzer, York University, Ontario, Canada.", price = "US\$24.50", URL = "http://www.birkhauser.com/Books/vilenkin/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Wang:1995:EPM, author = "Dong Ming Wang", title = "Elimination procedures for mechanical theorem proving in geometry", journal = j-ANN-MATH-ARTIF-INTELL, volume = "13", number = "1-2", pages = "1--24", year = "1995", CODEN = "AMAIEC", ISSN = "1012-2443 (print), 1573-7470 (electronic)", ISSN-L = "1012-2443", MRclass = "03B35 (68T15)", MRnumber = "95m:03028", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Annals of Mathematics and Artificial Intelligence", journal-URL = "http://link.springer.com/journal/10472", keywords = "Maple", } @InProceedings{Wang:1995:ICS, author = "Dong Ming Wang", title = "An implementation of the characteristic set method in {Maple}", crossref = "Pfalzgraf:1995:APR", pages = "187--201", year = "1995", MRclass = "68Q40", MRnumber = "MR1340206", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple", } @Book{Waterloo:1995:MVRa, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Lab Pak Upgrade: Student Maple Lab Pak Upgrade, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25567-0 (invalid checksum)", ISBN-13 = "978-0-534-25567-1 (invalid checksum)", LCCN = "????", bibdate = "Fri Apr 28 12:53:08 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRb, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3: Student Edition: Student {Maple}, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25560-4", ISBN-13 = "978-0-534-25560-2", LCCN = "????", bibdate = "Fri Apr 28 12:54:52 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$90.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRc, author = "{Waterloo Maple Software}", title = "{Maple V} Student Edition Upgrade Release 3: Student Maple Upgrade, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25567-1", ISBN-13 = "978-0-534-25567-1", LCCN = "????", bibdate = "Fri Apr 28 12:56:49 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$25.00", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRd, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Software Only: Student Maple Software Only, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25562-0", ISBN-13 = "978-0-534-25562-6", LCCN = "????", bibdate = "Fri Apr 28 12:58:22 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$77.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRe, author = "{Waterloo Maple Software}", title = "{Maple V} Student Edition Release 3: Student {Maple}, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, year = "1995", ISBN = "0-534-25561-2", ISBN-13 = "978-0-534-25561-9", LCCN = "????", bibdate = "Fri Apr 28 16:05:11 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$90.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRf, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Lab Pak: Student Maple Lab Pak, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25564-7", ISBN-13 = "978-0-534-25564-0", LCCN = "????", bibdate = "Fri Apr 28 16:06:37 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$670.00", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRg, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Lab Pak Upgrade: Student Maple Lab Pak Upgrade, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25575-2", ISBN-13 = "978-0-534-25575-6", bibdate = "Fri Apr 28 16:35:56 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$250.00", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRh, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Software Only: Student Maple Software Only, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25563-9", ISBN-13 = "978-0-534-25563-3", LCCN = "????", bibdate = "Fri Apr 28 16:36:51 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$77.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRi, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Lab Pak: Student Maple Lab Pak, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25565-5", ISBN-13 = "978-0-534-25565-7", LCCN = "????", bibdate = "Fri Apr 28 18:37:22 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$670.00", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRj, author = "{Waterloo Maple Software}", title = "{Maple V} Release 2: Student Edition, 386/486 Computers, Release 2", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-21222-0", ISBN-13 = "978-0-534-21222-3", LCCN = "????", bibdate = "Fri Apr 28 16:37:59 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRk, author = "{Waterloo Maple Software}", title = "{Maple V} Release 2: Student Edition, 386/486 Computers, Release 2", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-21222-0", ISBN-13 = "978-0-534-21222-3", LCCN = "????", bibdate = "Fri Apr 28 16:38:57 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$79.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRl, author = "{Waterloo Maple Software}", title = "{Maple V} Release 2: Student Edition, Macintosh, Release 2", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-21228-X", ISBN-13 = "978-0-534-21228-5", LCCN = "????", bibdate = "Fri Apr 28 16:39:50 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$79.95", acknowledgement = ack-nhfb, } @Article{Wessels:1995:SRM, author = "P. Wessels", title = "Software review: {Maple V}", journal = j-SCITECH-J, volume = "5", number = "10", pages = "15, 17--19", month = nov # "-" # dec, year = "1995", CODEN = "SITJE8", ISSN = "1072-0995", bibdate = "Mon Sep 30 05:14:59 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Maple V Release 3 is an extensive, powerful and interesting numerical, algebraic and graphical program. Some comparison between Maple and Mathematica is included in this review. At this moment, it seems that the Mathematica graphics are more fully developed and the Maple algebraic facilities seem to outshine Mathematica's. More experience with the two programs and future versions could change these tentative conclusions.", acknowledgement = ack-nhfb, classification = "C0310H (Equipment and software evaluation methods); C6130B (Graphics techniques); C7310 (Mathematics computing)", fjournal = "SciTech Journal", keywords = "Algebraic program; Graphical program; Maple V Release 3; Mathematica; Numerical program; Software review", thesaurus = "Computer graphics; Mathematics computing; Software reviews; Symbol manipulation", } @Book{Wick:1995:IBS, author = "David Wick", title = "The Infamous Boundary: Seven Decades of Controversy in Quantum Physics", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xii + 244", year = "1995", ISBN = "0-8176-3785-0, 3-7643-3785-0", ISBN-13 = "978-0-8176-3785-9, 978-3-7643-3785-8", LCCN = "QC173.98.W53 1995", bibdate = "Thu Dec 28 12:02:27 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$49.50", URL = "http://www.birkhauser.com/Books/wick/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Wills:1995:LFI, author = "Randall Wills and Steve Ligh", title = "On Linear Functions {II}", journal = j-MATH-COMP-EDU, volume = "29", number = "1", pages = "32--??", month = "Winter", year = "1995", CODEN = "MCEDDA", ISSN = "0730-8639", bibdate = "Fri Apr 12 10:01:05 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Several interesting properties of the set of linear functions defined over $R$ that are usually not mentioned in our undergraduate curriculum. The software package Maple is used to illustrate some examples.", acknowledgement = ack-nhfb, fjournal = "Mathematics and computer education", } @Article{Xu:1995:SPB, author = "Kedai Xu", title = "Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using {MAPLE}", journal = j-MATH-COMP-SIM, volume = "38", number = "1-3", pages = "199--209", year = "1995", CODEN = "MCSIDR", ISSN = "0378-4754 (print), 1872-7166 (electronic)", ISSN-L = "0378-4754", MRclass = "34C23 (34-04 34C20 34F05 58F14 70L05), 34C23 (34F05 58Fxx)", MRnumber = "MR1341173 (96c:34080)", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Probabilit{\'e}s num{\'e}riques (Paris, 1992)", acknowledgement = ack-nhfb, fjournal = "Mathematics and Computers in Simulation", journal-URL = "http://www.sciencedirect.com/science/journal/03784754", keywords = "Maple", } @Article{Yan:1995:PTL, author = "S. Y. Yan", title = "Primality testing of large numbers in {Maple}", journal = j-COMPUT-MATH-APPL, volume = "29", number = "12", pages = "1--8", month = jun, year = "1995", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", MRclass = "11Y11 (65C99)", MRnumber = "MR1329593 (96a:11143)", bibdate = "Wed Mar 1 19:11:26 MST 2017", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/axiom.bib; http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/cryptography1990.bib; http://www.math.utah.edu/pub/tex/bib/fibquart.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/089812219500052Z", abstract = "Primality testing of large numbers is very important in many areas of mathematics, computer science and cryptography, and in recent years, many of the modern primality testing algorithms have been incorporated in Computer Algebra Systems (CAS) such as Axiom and Maple as a standard. In this paper, we discuss primality testing of large numbers in Maple V Release 3, a Maple version newly released in 1994. Our computation experience shows that the Maple primality testing facility is prime, based on a combined use of a strong pseudoprimality test and a Lucas test, is efficient and reliable.", acknowledgement = ack-nhfb, affiliation = "Univ of York", affiliationaddress = "York, Engl", classification = "721.1; 723.2; 723.5; 921.1; 921.6", fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", journalabr = "Comput Math Appl", keywords = "Algebra; Axiom; Computer algebra systems; Computer applications; Computer science; Cryptography; Decoding; Elliptic curve test; Encoding (symbols); Large numbers; Lucas test; Maple; Mathematical techniques; Modern integer factorization method; Number theory; Primality testing; Probable primes; Security of data; Strong pseudoprimality test", } @Article{Zachary:1995:ELC, author = "J. L. Zachary and C. R. Johnson and E. N. Eide and K. W. Parker", title = "An entry-level course in computational engineering and science", journal = j-SIGCSE, volume = "27", number = "1", pages = "209--213", month = mar, year = "1995", CODEN = "SIGSD3", ISSN = "0097-8418 (print), 2331-3927 (electronic)", bibdate = "Tue Sep 10 19:03:58 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Utah Univ., Salt Lake City, UT, USA", classification = "C0220 (Computing education and training); C6110 (Systems analysis and programming); C6130 (Data handling techniques); C7300 (Natural sciences computing); C7400 (Engineering computing)", fjournal = "SIGCSE Bulletin (ACM Special Interest Group on Computer Science Education)", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J688", keywords = "C; Computation integration; Computational engineering; Computational problem-solving approach; Computational science; Conventional programming language; Engineering curricula; Entry-level course; Fortran; HTML viewer; Interactive on-line laboratory materials; Introductory course; Maple symbolic mathematics package; Modern computing; NCSA Mosaic; Programming concepts; Science curricula; Scientific problem-solving methodology; Standard programming requirement", thesaurus = "C language; Educational courses; Engineering computing; Engineering education; FORTRAN; Natural sciences computing; Problem solving; Programming; Symbol manipulation", } @InProceedings{Zima:1995:SOT, author = "Eugene V. Zima", title = "Simplification and Optimization Transformations of Chains of Recurrences", crossref = "Levelt:1995:IIS", pages = "42--50", year = "1995", bibdate = "Thu Mar 12 08:42:30 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p42-zima/", abstract = "The problem of expediting the evaluation of closed-form functions at regular intervals is considered. The chain of recurrences technique to expedite computations is extended by rational simplifications and examined as a form of internal representation, oriented towards fast evaluation. Optimizing transformations of chains of recurrences are proposed.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Math. and Cybern., Moscow State Univ., Russia", classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C7310 (Mathematics computing)", keywords = "algebraic computation; algorithms; Chains of recurrences; Closed-form functions; Internal representation, ISSAC; languages; Optimization transformations; Rational simplifications; Regular intervals; symbolic computation; theory", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.1} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Expressions and Their Representation, Simplification of expressions. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Optimisation; Symbol manipulation", } @Book{Zimmermann:1995:CFP, author = "P. Zimmermann and B. Salvy and C. Gomez", title = "Calcul formel pour scientifiques (Exemples en {Maple})", publisher = pub-MASSON, address = pub-MASSON:adr, pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:52:25 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InCollection{Ablamowicz:1996:CAC, author = "Rafa{\l} Ab{\l}amowicz", booktitle = "Clifford (geometric) algebras (Banff, AB, 1995)", title = "{Clifford} algebra computations with {Maple}", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "463--501", year = "1996", MRclass = "15A66 (15-04)", MRnumber = "MR1411025", bibdate = "Sat Apr 16 17:29:15 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", } @Book{Ablamowicz:1996:CAN, editor = "Rafa{\'e}l Ablamowicz and Pertti Lounesto and Josep M. Parra", title = "{Clifford} algebras with numeric and symbolic computations", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xvii + 322", year = "1996", ISBN = "0-8176-3907-1, 3-7643-3907-1", ISBN-13 = "978-0-8176-3907-5, 978-3-7643-3907-4", LCCN = "QC20.7.C55C565 1996", bibdate = "Wed Jul 23 09:35:23 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$59.50", acknowledgement = ack-nhfb, } @InProceedings{Abramov:1996:DSI, author = "Sergei A. Abramov and Eugene V. Zima", title = "{D'Alembertian} solutions of inhomogeneous linear equations (differential, difference, and some other)", crossref = "LakshmanYN:1996:IPI", pages = "232--240", year = "1996", bibdate = "Thu Mar 12 08:43:16 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/236869/p232-abramov/", acknowledgement = ack-nhfb, keywords = "algebraic computation; algorithms; ISSAC; languages; SIGNUM; SIGSAM; symbolic computation; theory; verification", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf G.1.7} Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", } @Book{Adams:1996:AC, author = "S. Adams and B. Horn", title = "{Anton}'s Calculus", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "????", year = "1996", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:33:29 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Anonymous:1996:BRDc, author = "Anonymous", title = "Book Review: {{\booktitle{Differential equations with MAPLE{\TM}}}: By Kevin R. Coombes. Brian R. Hunt, Ronald L. Lipsman, John E. Osborn, and Garrett J. Stuck. John Wiley \& Sons, New York. (1996). 232 pages. \$20.95}", journal = j-COMPUT-MATH-APPL, volume = "31", number = "2", pages = "129--129", month = jan, year = "1996", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:25 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122196900838", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1996:BREj, author = "Anonymous", title = "Book Review: {{\booktitle{Experiments in mathematics using Maple}}: By C. T. J. Dodson and E. A. Gonzalez. Springer, Berlin. (1995). 465 pages. DM 48.00}", journal = j-COMPUT-MATH-APPL, volume = "31", number = "11", pages = "138--138", month = jun, year = "1996", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:23 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/0898122196900425", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1996:BRMi, author = "Anonymous", title = "Book Review: {{\booktitle{Maple V: Learning guide}}: By K. M. Heal, M. L. Hansen and K. M. Richard. Springer-Verlag, New York. (1996). 269 pages. \$24.00}", journal = j-COMPUT-MATH-APPL, volume = "32", number = "6", pages = "130--130", month = sep, year = "1996", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:32 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122196902035", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1996:BRMj, author = "Anonymous", title = "Book Review: {{\booktitle{Maple V: Programming guide}}: By M. B. Monagan, K. O. Geddes, K. M. Heal, G. Labahn and S. Vorkoetter. Springer-Verlag, New York. (1996). 379 pages. \$34.00}", journal = j-COMPUT-MATH-APPL, volume = "32", number = "6", pages = "130--130", month = sep, year = "1996", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:32 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122196902011", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1996:BRMl, author = "Anonymous", title = "Book Review: {{\booktitle{The Maple handbook, Maple V, release 4}}: By Darren Redfern. Springer-Verlag, New York. (1996). 495 pages. \$29.00}", journal = j-COMPUT-MATH-APPL, volume = "32", number = "6", pages = "131--131", month = sep, year = "1996", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:32 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122196902138", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1996:BRPg, author = "Anonymous", title = "Book Review: {{\booktitle{The practical approach{\TM} utilities for Maple{\TM}: Maple V, release 3}}: By Darren Redfern. Springer, New York. (1995). 312 pages. \$69.00 (including diskette)}", journal = j-COMPUT-MATH-APPL, volume = "32", number = "6", pages = "130--130", month = sep, year = "1996", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:32 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122196901996", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @InCollection{Anonymous:1996:M, author = "Anonymous", title = "Maple", crossref = "Ross:1996:HSE", pages = "877--898", year = "1996", bibdate = "Fri Aug 31 16:17:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Anonymous:1996:MV, author = "Anonymous", title = "{Maple V}", publisher = pub-WATERLOO-MAPLE-SOFTWARE, address = pub-WATERLOO-MAPLE-SOFTWARE:adr, edition = "Student version, release 4. {Power edition, Windows and Macintosh CD-ROM}", pages = "1 learning guide, 1 disk", year = "1996", ISBN = "0-387-14232-0", ISBN-13 = "978-0-387-14232-6", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Anonymous:1996:MVP, author = "Anonymous", title = "{Maple V} package for field theoretic {Poisson} brackets using object-oriented techniques", journal = j-COMP-PHYS-COMM, volume = "96", number = "2-3", pages = "209--216", month = aug, year = "1996", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "In the theory of bosonic fields the calculation of Poisson brackets poses interesting technical problems using a symbolic calculus product such as Maple V. This article demonstrates how object-oriented techniques can be introduced to solve this problem and to obtain a neat and clearly structured Maple V package.", acknowledgement = ack-nhfb, affiliation = "Max-Planck-Inst f{\"u}r Physik", affiliationaddress = "Ger", classification = "723.1; 723.4", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "Bosonic field theory; Object oriented programming; Poisson brackets; Problem solving; Software package Maple V; Theorem proving", } @Article{Anonymous:1996:SAN, author = "Anonymous", title = "{Splice}: An analytical network analysis software", journal = j-IEEE-TRANS-EDUC, volume = "39", number = "3", pages = "394--398", month = aug, year = "1996", CODEN = "IEEDAB", ISSN = "0018-9359 (print), 1557-9638 (electronic)", ISSN-L = "0018-9359", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Splice is a symbolic circuit analysis program that operates under the Windows operating system. At the present time, Splice is the only commercially available software that will perform this type of analysis. A description of the features found in Splice 1.0 and examples to illustrate them is presented. Splice works with The Design Center circuit simulator available from the MicroSim Corporation. The user adds special `analysis symbols' to the circuit schematic that instruct Splice to perform a specific type of analysis. The analysis symbols are transparent to PSpice, giving the user the option to simulate the network at any time. Splice is powered internally by the Waterloo Maple Software algebraic engine and will analyze many types of linear and linearized electrical networks consisting of inductors (with initial conditions), capacitors (with initial conditions), resistors, transformers, transistors (bipolar and field-effect), operational amplifiers, and all types of ac and dc (independent and dependent) current and voltage sources. Splice will perform branch current, nodal voltage, Thevenin reduction, transfer function, and two-port reduction analysis with options for component substitutions (both numeric and\slash or symbolic including zero and infinity), pole and zero calculations, sinusoidal steady-state analysis, and time domain result calculations. Potential classroom applications of Splice 1.0, as well as future enhancements of the software, are presented and discussed.", acknowledgement = ack-nhfb, affiliation = "CaaGE Software", affiliationaddress = "MO, USA", classification = "703.1; 703.1.1; 722.2; 723; 723.5; 921", fjournal = "IEEE Transactions on Education", journalabr = "IEEE Trans Educ", keywords = "Branch current; Computer aided network analysis; Computer operating systems; Computer simulation; Graphical user interfaces; Nodal voltage; Schematic diagrams; Software package Splice; Software package Windows; Thevenin reduction; Transfer functions; Waterloo Maple software algebraic engine", } @Article{Aschenwald:1996:MMP, author = "D. Aschenwald and T. Siegl and R. F. Tichy", title = "{MAPinsure} --- a {MAPLE} Package for Life Insurance", journal = j-J-SYMBOLIC-COMP, volume = "22", number = "2", pages = "227--234", month = aug, year = "1996", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", bibdate = "Wed Mar 19 13:51:24 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C7120 (Financial computing); C7310 (Mathematics computing)", corpsource = "Inst. f{\"u}r Math. A, Tech. Univ. Graz, Austria", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "actuarial concepts; insurance data processing; life insurance; manipulation; MAPinsure; MAPLE package; mathematics; mathematics computing; symbol; teaching; training", treatment = "T Theoretical or Mathematical", } @Article{Aslaksen:1996:MVC, author = "Helmer Aslaksen", title = "Multiple-Valued Complex Functions and Computer Algebra", journal = j-SIGSAM, volume = "30", number = "2", pages = "12--20", month = jun, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:04 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing)", corpsource = "Dept. of Math., Nat. Univ. of Singapore, Singapore", fjournal = "SIGSAM Bulletin", issue = "116", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "branches; complex logarithm; computer algebra; Derive; exponential functions; function; functions; Maple; Mathematica; mathematics computing; multiple-valued complex functions; Reduce; symbol manipulation; transformation rules", treatment = "T Theoretical or Mathematical", } @InProceedings{Bacher:1996:AGO, author = "Rainer Bacher", title = "Automatic Generation of Optimization Code Based on Symbolic Non-Linear Domain Formulation", crossref = "LakshmanYN:1996:IPI", pages = "283--291", year = "1996", bibdate = "Thu Mar 12 08:43:16 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/236869/p283-bacher/", acknowledgement = ack-nhfb, keywords = "algebraic computation; algorithms; ISSAC; languages; SIGNUM; SIGSAM; symbolic computation", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf G.1.3} Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Sparse, structured, and very large systems (direct and iterative methods). {\bf G.1.6} Mathematics of Computing, NUMERICAL ANALYSIS, Optimization. {\bf G.2.2} Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Network problems. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", } @Article{Bardell:1996:FPV, author = "N. S. Bardell and R. S. Langley and J. M. Dunsdon", title = "On the free in-plane vibration of isotropic rectangular plates", journal = j-J-SOUND-VIB, volume = "191", number = "3", pages = "459--467", month = apr, year = "1996", CODEN = "JSVIAG", ISSN = "0022-460x (print), 1095-8568 (electronic)", ISSN-L = "0022-460X", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "Although the in-plane modes of a plate occur at relatively high frequencies, they may nonetheless be important from a design point of view. It has recently been shown that in-plane vibration can play a major role in the transmission of high frequency vibration through a built-up structure, and any credible analysis technique must take due account of the presence of these vibrations. This paper provides a number of results against which any analysis method for in-plane vibrations can be validated.", acknowledgement = ack-nhfb, affiliation = "Univ of Southampton", affiliationaddress = "Southampton, Engl", classification = "408.2; 921; 921.1; 921.6; 931.1", fjournal = "Journal of Sound and Vibration", journalabr = "J Sound Vib", keywords = "Boundary conditions; Calculations; Computer algebra package Maple; Constitutive relationship; Convergence of numerical methods; Degrees of freedom (mechanics); Displacement functions; Free inplane vibration; Frequencies; Functions; Hermite cubics; Inplane shear strain; Isotropic rectangular plates; Matrix algebra; Numerical methods; Oscillations; Plates (structural components); Polynomials; Rayleigh--Ritz method; Strain; Vibrations (mechanical)", } @Book{Barrow:1996:SOM, author = "David Barrow", title = "Solving {ODEs} with {Maple V}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Preliminary", pages = "viii + 154", year = "1996", ISBN = "0-534-34402-X", ISBN-13 = "978-0-534-34402-3", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Differential equations -- Numerical solutions -- Computer; Maple (Computer file); programs.", } @Book{Bauldry:1996:CPM, author = "W. C. Bauldry and Joseph R. Fiedler", title = "Calculus Projects with {Maple}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "xx + 233", year = "1996", ISBN = "0-534-23748-7", ISBN-13 = "978-0-534-23748-6", LCCN = "QA303.5.D37B38 1996", bibdate = "Sat Mar 09 08:35:39 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Calculus -- Data processing; Maple (Computer file)", } @Book{Bauldry:1996:PMM, author = "W. C. Bauldry", title = "{PreCalculus} Math and {Maple}", publisher = pub-WCB, address = pub-WCB:adr, pages = "????", year = "1996", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:34:28 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InCollection{Baylis:1996:PAC, author = "W. E. Baylis", booktitle = "{Clifford} algebras with numeric and symbolic computations", title = "{Pauli}-algebra calculations in {MAPLE V}", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "69--82", year = "1996", MRclass = "15A66", MRnumber = "MR1398889", bibdate = "Sat Apr 16 17:29:37 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", } @Article{Bernardin:1996:RSS, author = "L. Bernardin", title = "A Review of Symbolic Solvers", journal = j-SIGSAM, volume = "30", number = "1", pages = "9--20", month = mar, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Thu Mar 20 16:02:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing); C6130 (Data handling techniques)", corpsource = "Inst. for Sci. Comput., Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "algebraic; Axiom 2.0; computer algebra system; Derive 3.06; equation solving; general; Macsyma 420; Maple; Mathematica 2.2; purpose systems; Reduce 3.6; review; software reviews; symbol manipulation; symbolic solvers; transcendental equation solving; V R4", treatment = "P Practical; R Product Review", } @Article{Bramley:1996:TNR, author = "Randall Bramley", title = "Technical News \& Reviews: {Maple V Release 4}; {Mathematica 3.0} from {Wolfram}; {HotGAMS} from {NIST}; {Informant} scans {Web} and e-mails you; More on the Web\ldots{}", journal = j-IEEE-COMPUT-SCI-ENG, volume = "3", number = "3", pages = "80--80", month = "Fall", year = "1996", CODEN = "ISCEE4", DOI = "https://doi.org/10.1109/MCSE.1996.556515", ISSN = "1070-9924 (print), 1558-190X (electronic)", ISSN-L = "1070-9924", bibdate = "Fri Mar 14 11:42:07 1997", bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/java.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Discusses a Java-based front end for the Guide to Available Mathematical Software, with a pointer to URL \path=http://math.nist.gov/HotGAMS/=.", fjournal = "IEEE Computational Science \& Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=99", } @Book{Braselton:1996:CLU, author = "James P. Braselton and John W. Davenport and Arthur G. Sparks", title = "Calculus labs using {Maple V}", publisher = pub-AW, address = pub-AW:adr, pages = "????", year = "1996", ISBN = "0-673-99814-2", ISBN-13 = "978-0-673-99814-9", LCCN = "QA303.5.C65B73 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Compatible with Maple V Release 3.", keywords = "Calculus -- Computer-assisted instruction.; Maple (Computer file)", } @Book{Chandler:1996:OM, author = "E. Chandler", title = "{ODE}'s and {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "1996", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:41:33 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Cheb-Terrab:1996:BRB, author = "E. S. Cheb-Terrab", title = "Book Review: {{\booktitle{Classical mechanics with Maple}}: By R. L. Greene. Springer-Verlag, Berlin, 1995. Approx. 230 pages, 55 figures. Hardcover price DM 48,00. ISBN 0-387-94512-1}", journal = j-COMP-PHYS-COMM, volume = "97", number = "3", pages = "358--358", month = sep, year = "1996", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(96)00048-3", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:30:08 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465596000483", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Book{Cheung:1996:EMC, author = "C. K. Cheung and William G. Multivariable calculus McCallum and Tim. Murdoch and G. E. Keough", title = "Exploring multivariable calculus with {Maple} to accompany {Multivariable calculus, preliminary edition, [by] William G. McCallum, Deborah Hughes-Hallett, Andrew M. Gleason}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "228", year = "1996", ISBN = "0-471-13753-7 (paperback)", ISBN-13 = "978-0-471-13753-5 (paperback)", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Calculus -- Computer-assisted instruction; Calculus -- Use of -- Calculating equipment; Maple (Computer file)", } @Book{Chiang:1996:MP, author = "K. Chiang and H. T. Man", title = "{Maple} for Physicists", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "1996", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 08:42:22 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Comello:1996:PST, author = "Vic Comello", title = "Physics Software That's Suitable for Engineers, Too", journal = j-RES-DEV, volume = "38", number = "13", pages = "36--38, 40", month = dec, year = "1996", CODEN = "REDEEA", ISSN = "0746-9179", bibdate = "Fri Nov 29 10:43:51 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Reviews several software packages, including some from Mathematica and Maple.", fjournal = "Research \& Development", } @Book{Connell:1996:DEM, author = "Howard J. (Howard John) Connell", title = "Differential equations {A}: {Maple} laboratory handbook", publisher = "Mathematics Dept., RMIT", address = "Melbourne, Victoria, Australia", pages = "70 + xiv", month = feb, year = "1996", ISBN = "0-86444-562-8", ISBN-13 = "978-0-86444-562-9", ISSN = "1039-5040", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "RMIT lecture notes in mathematics", acknowledgement = ack-nhfb, alttitle = "Maple laboratory handbook.", annote = "Consistent with Version V Release 3 of Maple.", keywords = "Differential equations.; Maple (Computer file); Mathematics -- Study and teaching (Higher) -- Victoria --; Problems, exercises, etc.", } @Book{Coombes:1996:DEM, author = "Kevin Robert Coombes and others", title = "Differential equations with {Maple}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "v + 232", year = "1996", ISBN = "0-471-10875-8", ISBN-13 = "978-0-471-10875-7", LCCN = "QA371.5.D37D53 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Differential equations -- Numerical solutions -- Data processing; Differential equations -- Use of -- Computers; Maple (Computer file)", } @Article{Corless:1996:ABD, author = "R. M. Corless", title = "{Abell and Braselton's Differential Equations with Maple V}", journal = j-SIGSAM, volume = "30", number = "1", pages = "57--??", month = "????", year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Aug 16 13:12:40 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @Article{Corless:1996:ECG, author = "Robert M. Corless", title = "Editor's Corner: {Gr{\"o}bner} bases and matrix eigenproblems", journal = j-SIGSAM, volume = "30", number = "4", pages = "26--32", month = dec, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Thu Mar 20 16:02:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "eigenvalues and eigenfunctions; polynomial matrices; Gr{\"o}bner bases; matrix eigenproblems; Maple routine; multiplication matrices; residue class ring; multivariate; polynomial equations; total degree ordering; lexicographic; order case; lex order basis; zero-dimensional case; Kronecker canonical forms", treatment = "T Theoretical or Mathematical", } @InCollection{Cyganowski:1996:MPS, author = "S. Cyganowski", booktitle = "Computational techniques and applications: CTAC95 (Melbourne, 1995)", title = "A {MAPLE} package for stochastic differential equations", publisher = "World Sci. Publishing", address = "River Edge, NJ", pages = "223--230", year = "1996", MRclass = "65-04 (65U05)", MRnumber = "MR1664851", bibdate = "Sat Apr 16 17:30:20 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", } @Article{deJager:1996:SSC, author = "Bram {de Jager} and Bram {van Asch}", title = "Symbolic Solutions for a Class of Partial Differential Equations", journal = j-J-SYMBOLIC-COMP, volume = "22", number = "4", pages = "459--468", month = oct, year = "1996", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "65M99 (68Q40 93B40)", MRnumber = "1 428 837", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0290K (Nonlinear and functional equations); C4170 (Differential equations); C4150 (Nonlinear and functional equations); C7310 (Mathematics computing); C6130 (Data handling techniques)", corpsource = "Eindhoven Univ. of Technol., Netherlands", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "complexity; computer algebra; constructive proof; Frobenius' Theorem; manipulation; nonlinear equations; partial differential equations; symbol; symbolic solutions; system Maple", treatment = "P Practical; T Theoretical or Mathematical", } @Book{Douillet:1996:MAM, author = "Pierre Douillet", title = "Maths avec {MAPLE}. Tome 2", publisher = "Ellipses", address = "Paris, France", pages = "239", year = "1996", ISBN = "2-7298-5631-5", ISBN-13 = "978-2-7298-5631-1", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, alttitle = "MAPLE.", annote = "Consacr{\'e} notamment aux polynomes orthogonaux.", keywords = "Maple (Logiciel)", } @Article{Eckhardt:1996:BWS, author = "B. Eckhardt and G. Hellbardt and H. Rechenberg and I. Heber and R. Haag and M. Carrier and S. H{\"u}fner and M. Pillin and R. R. Ernst and H. Friedrich and C. Kleint and G. Baumann and A. Ruider", title = "{Buchbesprechungen ---Wissenschaftliche Software: Stehle: Order, Chaos, Order\slash Kafka: Gegen den Untergang\slash Verhulst: Der Glanz von Kopenhagen\slash Luchner: Physik ist {\"u}berall: Streifz{\"u}ge durch Natur, Alltag, Technik und Forschung\slash Omn{\`e}s: The Interpretation of Quantum Mechanics\slash Neuser: Natur und Begriff\slash Vogel: Gerthsen Physik\slash Kassel: Quantum Groups\slash Schmidt-Rohr, Spiess: Multidimensional Solid-State NMR and Polymers\slash Ruder, Wunner, Herold, Geyer: Atoms in Strong Magnetic Fields\slash Herrmann: Der Photoeffekt\slash Kleint, Wiemers: Werner Heisenberg in Leipzig\slash Kofler: Maple V, Release 2: Einf{\"u}hrung und Leitfaden f{\"u}r den Praktiker\slash Mathcad Plus 6.0}", journal = j-PHYS-BL, volume = "52", number = "1", pages = "55--60", month = jan, year = "1996", CODEN = "PHBLAG", DOI = "https://doi.org/10.1002/phbl.19960520116", ISSN = "0031-9279 (print), 1521-3722 (electronic)", ISSN-L = "0031-9279", bibdate = "Mon Mar 2 07:07:35 2015", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://onlinelibrary.wiley.com/doi/10.1002/phbl.19960520116/abstract", acknowledgement = ack-nhfb, fjournal = "{Physikalische Bl{\"a}tter}", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3722", } @Book{Edwards:1996:CPD, author = "C. H. {Edwards, Jr.} and David E. Penney", title = "Computing Projects for Differential Equations: Computing and Modeling", publisher = pub-PH, address = pub-PH:adr, pages = "304", year = "1996", ISBN = "0-13-504465-0", ISBN-13 = "978-0-13-504465-0", bibdate = "Wed Aug 30 09:22:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Lab supplement to \cite{Edwards:1996:DEB}.", URL = "http://www.prenhall.com/books/esm_0135044650.html", acknowledgement = ack-nhfb, } @Book{Edwards:1996:DEB, author = "C. H. {Edwards, Jr.} and David E. Penney", title = "Differential Equations and Boundary Value Problems: Computing and Modeling", publisher = pub-PH, address = pub-PH:adr, pages = "718", year = "1996", ISBN = "0-13-382094-7", ISBN-13 = "978-0-13-382094-2", LCCN = "QA371.E28 1996", bibdate = "Fri Jul 25 11:37:32 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "See also lab supplement \cite{Edwards:1996:CPD}.", URL = "http://www.prenhall.com/books/esm_0133820947.html", acknowledgement = ack-nhfb, annote = "Uses Maple, Matlab, and Mathematica.", } @Book{Edwards:1996:DEC, author = "C. H. {Edwards, Jr.} and David E. Penney", title = "Differential Equations: Computing and Modeling", publisher = pub-PH, address = pub-PH:adr, pages = "????", year = "1996", ISBN = "0-13-382102-1", ISBN-13 = "978-0-13-382102-4", LCCN = "QA371.E282 1996", bibdate = "Mon Jun 07 18:33:02 1999", bibsource = "http://www.hensa.ac.uk/ftp/mirrors/matlab/doc/MATLAB_BASED_BOOKS; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple; Mathematica; Matlab", } @Book{Ellis:1996:MVE, author = "Wade Ellis", title = "{Maple V} edition {\'e}tudiant: version 4", publisher = "International Thomson Publishing France", address = "Paris, France", pages = "xiv + 172", year = "1996", ISBN = "2-84180-032-6", ISBN-13 = "978-2-84180-032-2", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Trad. de : ``Maple V flight manual release 4''.", keywords = "Calcul formel.; Maple (logiciel)", } @Book{Ellis:1996:MVF, author = "Wade {Ellis, Jr.} and E. Johnson and E. Lodi and D. Schwalbe", title = "{Maple V} Flight Manual: Tutorials for Calculus, Linear Algebra, and Differential Equations", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "????", year = "1996", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Sat Mar 09 09:05:22 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Fattahi:1996:MVC, author = "Abi Fattahi", title = "{Maple V} Calculus Labs", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "vii + 100", year = "1996", ISBN = "0-534-26208-2", ISBN-13 = "978-0-534-26208-2", LCCN = "QA303.5.D37F38 1996", bibdate = "Tue Aug 22 17:44:07 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$13.95", acknowledgement = ack-nhfb, keywords = "Calculus; Calculus -- Data processing; Maple (Computer file)", } @TechReport{Grabe:1996:APS, author = "Hans-Gert Gr{\"a}be", title = "About the polynomial system solve facility of {Axiom}, {Macsyma}, {Maple}, {Mathematica}, {MuPAD}, and {Reduce}", type = "Technical report", number = "96-11", institution = "Institut f{\"u}r Informatik, Universit{\"a}t Leipzig", address = "Leipzig, Germany", pages = "28", year = "1996", bibdate = "Wed Apr 10 16:19:09 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Grossman:1996:SJC, author = "Nathaniel Grossman", title = "The Sheer Joy of Celestial Mechanics", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "159", year = "1996", ISBN = "0-8176-3832-6, 3-7643-3832-6", ISBN-13 = "978-0-8176-3832-0, 978-3-7643-3832-9", LCCN = "QB351.G69 1995", bibdate = "Thu Dec 28 12:16:18 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$34.50", URL = "http://www.birkhauser.com/Books/grossman/summary.htm", acknowledgement = ack-nhfb, } @Book{Hagin:1996:CM, author = "Frank G. Hagin and Jack K. Cohen", title = "Calculus with {Maple}", publisher = pub-PH, address = pub-PH:adr, pages = "x + 125", year = "1996", ISBN = "0-13-518994-2", ISBN-13 = "978-0-13-518994-8", LCCN = "QA303.5.C65H34 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Calculus -- Computer-assisted instruction.; Maple (Computer file)", } @Book{Heal:1996:EMV, author = "K. M. Heal and M. L. Hansen and K. M. Rickard", title = "{Einf{\"u}hrung in Maple V}", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 280 + 4", year = "1996", ISBN = "3-540-60545-2", ISBN-13 = "978-3-540-60545-4", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "German translation of: Maple V learning guide \cite{Heal:1996:MVL}.", keywords = "Maple (Computer file); Maple (Fichier d'ordinateur); Mathematics -- Computer programs; Mathematics -- Data processing; Math{\'e}matiques -- Informatique.; Math{\'e}matiques -- Logiciels", } @Book{Heal:1996:MVL, author = "K. M. Heal and M. L. Hansen and K. M. Rickard", title = "{Maple V} Learning Guide", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 269", year = "1996", ISBN = "0-387-94536-9, 0-387-94575-X (software boxed version)", ISBN-13 = "978-0-387-94536-1, 978-0-387-94575-0 (software boxed version)", LCCN = "QA155.7.E4H42 1996", bibdate = "Wed Oct 02 15:53:34 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "With the editorial assistance of J. S. Devitt. Based in part on the work of B. W. Char.", price = "US\$24.00", acknowledgement = ack-nhfb, } @Book{Healy:1996:DEB, author = "W. P. Healy", title = "Differential equations {B}: Maple laboratory handbook", publisher = "Mathematics Department, RMIT", address = "Melbourne, Victoria, Australia", edition = "Second", pages = "vi + 67 + xix", year = "1996", ISBN = "0-86444-588-1", ISBN-13 = "978-0-86444-588-9", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "RMIT lecture notes in mathematics", acknowledgement = ack-nhfb, alttitle = "Maple laboratory handbook", keywords = "Differential equations -- Data processing.", } @Article{Hollmann:1996:MVP, author = "Helia Hollmann", title = "A {Maple V} package for field theoretic {Poisson} brackets using object-oriented techniques", journal = j-COMP-PHYS-COMM, volume = "96", number = "2--3", pages = "209--216", day = "1", month = aug, year = "1996", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(96)00076-8", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:30:06 MST 2012", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465596000768", abstract = "In the theory of bosonic fields the calculation of Poisson brackets poses interesting technical problems using a symbolic calculus product such as Maple V. This article demonstrates how object-oriented techniques can be introduced to solve this problem and to obtain a neat and clearly structured Maple V package.", acknowledgement = ack-nhfb, affiliation = "Max-Planck-Inst f{\"u}r Physik", affiliationaddress = "Ger", classification = "723.1; 723.4", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", journalabr = "Comput Phys Commun", keywords = "Bosonic field theory; Object oriented programming; Poisson brackets; Problem solving; Software package Maple V; Theorem proving", } @Book{Israel:1996:CMW, author = "Robert B. Israel", title = "Calculus the {Maple} Way", publisher = pub-AW, address = pub-AW:adr, pages = "????", year = "1996", ISBN = "0-201-82829-4", ISBN-13 = "978-0-201-82829-0", LCCN = "????", bibdate = "Sat Mar 09 08:53:56 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @MastersThesis{Jones:1996:FMC, author = "Kevin Rowe Jones", title = "A fuzzy mathematical computation package for {Maple}", type = "Thesis (M. Eng.)", school = "Department of Engineering Mathematics and Computer Science, University of Louisville", address = "Louisville, KY, USA", pages = "x + 168", year = "1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Jones:1996:SAM, author = "J. Jones and N. P. Karampetakis and A. C. Pugh", title = "Some applications of {Maple} in linear systems analysis", crossref = "Anonymous:1996:ICS", pages = "7/1--5", month = "", year = "1996", bibdate = "Sun Jan 5 07:37:43 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. Sci., Loughborough Univ., UK", } @Book{Judson:1996:CEU, author = "Phoebe Judson", title = "Calculus explorations using {Maple}", publisher = pub-SAUNDERS, address = pub-SAUNDERS:adr, pages = "148", year = "1996", ISBN = "0-03-017434-1", ISBN-13 = "978-0-03-017434-6", LCCN = "QA303.5.C65J83 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Calculus -- Computer-assisted instruction.; Maple (Computer file)", } @InProceedings{Kavian:1996:MPR, author = "Masoud Kavian and R. G. McLenaghan and K. O. Geddes", title = "{MapleTensor}: Progress Report on a New System for Performing Indicial and Component Tensor Calculations Using Symbolic Computation", crossref = "LakshmanYN:1996:IPI", pages = "204--211", year = "1996", bibdate = "Thu Mar 12 08:43:16 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/236869/p204-kavian/", acknowledgement = ack-nhfb, keywords = "algebraic computation; algorithms; design; ISSAC; languages; SIGNUM; SIGSAM; symbolic computation", subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms. {\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language Classifications, C++. {\bf I.1.1} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Expressions and Their Representation, Simplification of expressions.", } @Book{Krob:1996:IAC, author = "Daniel Krob and Stephane Legros", title = "Introduction au calcul symbolique et aux math{\'e}matiques exp{\'e}rimentales. Tome 1, Le syst{\`e}me {Maple}", publisher = "International Thomson Publishing France", address = "Paris, France", pages = "xxi + 354", year = "1996", ISBN = "2-84180-038-5", ISBN-13 = "978-2-84180-038-4", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Passeport pour l'informatique", acknowledgement = ack-nhfb, alttitle = "Le syst{\`e}me Maple.", keywords = "Calcul formel -- Informatique; Calcul operationnel -- Informatique; Maple (logiciel)", } @InProceedings{Kugi:1996:OOA, author = "A. Kugi and K. Schlacher and M. Kaltenbacher", booktitle = "Proceedings of the 1996 3rd International Conference on Software for Electrical Engineering Analysis and Design, ELECTROSOFT'96", title = "Object oriented approach for large circuits with substructures in the computer algebra program {Maple V}", publisher = pub-ACM, address = pub-ACM:adr, pages = "491--500", year = "1996", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This paper is concerned with the symbolic derivation and solution of the minimal set of network equations in MapleV. By means of the table environment of Maple V it is possible to realize the essential features of an object oriented design. All considered linear electric terminals are arranged in a class hierarchy using the principle of multiple inheritance. The network algorithm for setting up the equations is based on the recursive graph searching method depth first. The algorithm is extended by a special substructure technique, in order to be able to calculate complex networks with a higher number of network elements. Finally, the feasibility of the proposed approach will be demonstrated by two application examples.", acknowledgement = ack-nhfb, affiliation = "Johannes Kepler Univ", affiliationaddress = "Linz Auhof, Austria", classification = "703.1; 723.1; 921.1; 921.2; 921.4; 921.6", keywords = "Algebra; Algorithms; Circuit theory; Computer algebra program; Differential equations; Graph theory; Networks (circuits); Object oriented programming; Principle of multiple inheritance; Recursive graph search method; Software Package Maple V; Terminals (electric); Transfer functions", meetingabr = "Proc 1996 3 Int Conf Software Electr Eng Anal Des ELECTROSOFT 96", meetingaddress = "Pisa, Italy", meetingdate = "May 1996", meetingdate2 = "05/96", } @Book{Lawson:1996:MLL, author = "Terry Lawson and Robert J. Lopez", title = "{Maple} labs for linear algebra", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "vi + 112", year = "1996", ISBN = "0-471-13594-1 (paperback)", ISBN-13 = "978-0-471-13594-4 (paperback)", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Algebras, Linear; Linear algebra -- Use of -- Computers; Maple (Computer file)", } @InProceedings{Lu:1996:SCD, author = "X. Y. Lu and S. K. Spurgeon", editor = "{IEE}", booktitle = "IEE Colloquium on Symbolic Computation for Control (Digest No: 1996/078), 2 April 1996", title = "Symbolic computation for dynamic sliding mode controller design", publisher = pub-IEE, address = pub-IEE:adr, pages = "4/1--4/5", year = "1996", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Thu Jul 26 05:45:21 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; IEEE Xplore database", acknowledgement = ack-nhfb, keywords = "MACSYMA; Maple; Mathematica; Reduce", } @Article{Meade:1996:BRM, author = "Douglas B. Meade", title = "Book Reviews: {{\em The Maple V handbook}}, by {Martha L. Abell and James P. Braselton}", journal = j-MATH-COMPUT, volume = "65", number = "216", pages = "??--??", month = oct, year = "1996", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jul 26 11:48:06 1999", bibsource = "http://www.ams.org/mcom/1996-65-216; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00768-5&u=/mcom/1996-65-216/", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", xxpages = "1757--1768", } @Article{Monagan:1996:MSI, author = "M. Monagan", title = "{MapleTech} Special Issue", journal = j-SIGSAM, volume = "30", number = "1", pages = "63--63", month = mar, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Sep 06 07:11:07 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @Book{Monagan:1996:MVP, author = "M. B. Monagan and K. O. Geddes and K. M. Heal and G. Labahn and S. Vorkoetter", title = "{Maple V} Programming Guide", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 379", year = "1996", ISBN = "0-387-94537-7, 0-387-94576-8", ISBN-13 = "978-0-387-94537-8, 978-0-387-94576-7", LCCN = "QA76.95.M363 199", MRclass = "68W30, 68-01, 68N15", bibdate = "Sat Mar 09 09:19:45 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", note = "With the editorial assistance of J. S. Devitt, M. L. Hansen, D. Redfern, and K. M. Rickard.", price = "US\$34.00", acknowledgement = ack-nhfb, tableofcontents = "Introduction / 1 \\ Getting Started with Maple / 7 \\ Calculus / 27 \\ Linear Algebra / 59 \\ Solving Equations / 95 \\ Polynomials and Common Transforms / 131 \\ Geometry / 171 \\ Combinatorics and Graph Theory / 196 \\ Number Theory / 229 \\ Statistics / 257 \\ Standard Functions and Constants / 284 \\ Expression Manipulation / 315 \\ Plotting / 334 \\ Programming and System Commands / 375 \\ Miscellaneous / 431 \\ Index / 477", } @Book{Monagan:1996:PMV, author = "Michael B. (Michael Burnett) Monagan and John Stanley Devitt", title = "{Programmieren mit Maple V}", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 400", year = "1996", ISBN = "3-540-60544-4", ISBN-13 = "978-3-540-60544-7", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "German translation of: Maple V programming guide.", keywords = "Maple (Computer file); Maple (Fichier d'ordinateur); Mathematics -- Computer programs; Mathematics -- Data processing; Math{\'e}matiques -- Informatique; Math{\'e}matiques -- Logiciels", } @Book{Nicolaides:1996:MCI, author = "Roy A. Nicolaides and Noel Walkington", title = "{Maple}: a comprehensive introduction", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xix + 466", year = "1996", ISBN = "0-521-56230-9", ISBN-13 = "978-0-521-56230-0", LCCN = "QA76.95.N53 1996", bibdate = "Wed Oct 02 15:51:50 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Covers Maple V.4.", price = "US\$39.95", acknowledgement = ack-nhfb, } @InCollection{Osetrova:1996:MPF, author = "T. A. Osetrova", booktitle = "Complex analysis and differential equations (Russian)", title = "{MAPLE}---procedures for finding the resultants of systems of nonlinear algebraic equations", publisher = "Krasnoyarsk. Gos. Univ.", address = "Krasnoyarsk", pages = "163--174", year = "1996", MRclass = "12Y05", MRnumber = "MR1730293", bibdate = "Sat Apr 16 17:30:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", } @InProceedings{Postel:1996:ROS, author = "F. Postel and P. Zimmermann", title = "A review of the {ODE} solvers of {Maple}, {Mathematica}, {Macsyma} and {MuPAD}", crossref = "Carriere:1996:PRW", year = "1996", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "updated version includes Axiom, Derive and Reduce", keywords = "Computer Algebra, MuPAD, Ordinary Differential Equation, Review, Solver", } @InCollection{Rabotin:1996:MPD, author = "V. V. Rabotin", booktitle = "Complex analysis and differential equations (Russian)", title = "{MAPLE}---a program for determining the {Hodge} number of three-dimensional {Calabi--Yau} varieties", publisher = "Krasnoyarsk. Gos. Univ.", address = "Krasnoyarsk", pages = "175--183", year = "1996", MRclass = "14J32 (14-04)", MRnumber = "MR1730294", bibdate = "Sat Apr 16 17:30:27 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", } @Book{Redfern:1996:MDL, author = "Darren Redfern and Ed Chandler", title = "{Maple O.D.E.} lab book", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 160", year = "1996", ISBN = "0-387-94733-7 (softcover)", ISBN-13 = "978-0-387-94733-4 (softcover)", LCCN = "QA371.5.D37R43 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "System requirements for accompanying computer disk: MS-DOS format diskette.", keywords = "Differential equations -- Numerical solutions -- Data processing.; Maple (Computer file)", } @Book{Redfern:1996:MH, author = "Darren Redfern", title = "The {Maple} Handbook: {Maple V} Release 4", publisher = pub-SV, address = pub-SV:adr, pages = "495", year = "1996", ISBN = "0-387-94538-5, 0-387-94622-5", ISBN-13 = "978-0-387-94538-5, 978-0-387-94622-1", LCCN = "QA76.95.R43 1996", bibdate = "Sat Mar 09 09:15:22 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", price = "US\$29.00", abstract = "\booktitle{The Maple Handbook} is an essential reference tool for all users of the Maple system. It provides a complete listing of every command in the Maple language, categorized into logical categories (e.g., calculus, algebra, programming, etc.) and explained in the context of those categories. If a Maple command has different purposes in different categories, it is included more than once as appropriate. A short introductory tutorial starts the \booktitle{Handbook}, and each category begins with a brief introduction to the related subject area. The \booktitle{Handbook} is well referenced, with an alphabetical index of commands, and pointers to appropriate sections of the official Maple documentation (Springer-Verlag). This new approach to reference materials for Maple enhances the material found in Maple's on-line help files and provides a much more organized, intuitive resource for all users of the Maple system. The \booktitle{Handbook} improves the efficiency of Maple users by supplying them with the information they need --- at their fingertips. This new edition covers the Maple V Release 4 symbolic computation language.", acknowledgement = ack-nhfb, tableofcontents = "Getting Started with Maple \\ Calculus \\ Linear Algebra \\ Solving Equations \\ Polynomials and Common Transforms \\ Geometry \\ Combinatorics and Graph Theory \\ Number Theory \\ Statistics \\ Standard Functions and Constants \\ Expression Manipulation \\ Plotting \\ Programming and System Commands \\ Miscellaneous", } @Book{Redfern:1996:PAU, author = "Darren Redfern", title = "The Practical Approach, Utilities for {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "1996", ISBN = "0-387-14225-8", ISBN-13 = "978-0-387-14225-8", LCCN = "????", bibdate = "Wed Jul 23 09:42:22 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InCollection{Reitberger:1996:MAP, author = "Heinrich Reitberger", booktitle = "Iteration theory (Batschuns, 1992)", title = "A {MAPLE} assisted proof of an assertion in {Misiurewicz}'s theorem on the {Lozi} attractor", publisher = "World Sci. Publishing", address = "River Edge, NJ", pages = "281--283", year = "1996", MRclass = "58F13", MRnumber = "MR1442294", bibdate = "Sat Apr 16 17:30:30 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", } @InProceedings{Roach:1996:HFR, author = "Kelly Roach", title = "Hypergeometric Function Representations", crossref = "LakshmanYN:1996:IPI", pages = "301--308", year = "1996", bibdate = "Thu Mar 12 08:43:16 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/236869/p301-roach/", acknowledgement = ack-nhfb, keywords = "algebraic computation; algorithms; ISSAC; languages; SIGNUM; SIGSAM; symbolic computation; theory; verification", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, MACSYMA. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf G.4} Mathematics of Computing, MATHEMATICAL SOFTWARE, Mathematica.", } @Book{Robertson:1996:EMM, author = "John S. Robertson", title = "Engineering Mathematics with {Maple}", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xiv + 278", year = "1996", ISBN = "0-07-053120-X", ISBN-13 = "978-0-07-053120-8", LCCN = "TA345 .R58 1996", bibdate = "Wed Aug 30 09:49:46 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Engineering mathematics -- Data processing; Maple (Computer file)", } @MastersThesis{Sadr:1996:MPS, author = "Amir H. Sadr", title = "A {Maple} package for a small pattern graph enumerations", type = "Thesis (M.S.)", school = "University of Kentucky", address = "Lexington, KY, USA", pages = "vii + 77", year = "1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Eulerian graph theory -- Data processing; Matrices -- Data processing", } @Article{Sanchez:1996:MMS, author = "Nestor E. Sanchez", title = "The Method of Multiple Scales: Asymptotic Solutions and Normal Forms for Nonlinear Oscillatory Problems", journal = j-J-SYMBOLIC-COMP, volume = "21", number = "2", pages = "245--252", month = feb, year = "1996", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "34E20 (34-04)", MRnumber = "1 394 605", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C6130 (Data handling techniques); C7310 (Mathematics computing)", corpsource = "Div. of Eng., Texas Univ., San Antonio, TX, USA", fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "asymptotic solution; asymptotic solutions; differential equations; Duffing type oscillators; Maple V Release 2; mathematics computing; multiple scales; near-identity coordinate; nonlinear oscillatory problems; normal forms; ODEs; partial differential equations; PDEs; symbol manipulation; transformation; uniform; weakly nonlinear oscillator", treatment = "P Practical; T Theoretical or Mathematical", } @Book{Schori:1996:MLM, author = "Richard M. Schori and Todd S. Coffey and Lawrence C. Moore and David A. (David Alexander) Smith", title = "{Maple} laboratory manual for {Calculus: modeling and application}", publisher = pub-HEATH, address = pub-HEATH:adr, pages = "vi + 380", year = "1996", ISBN = "0-669-32794-8", ISBN-13 = "978-0-669-32794-6", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, alttitle = "Maple laboratory manual to accompany Calculus: modeling and application", annote = "This lab manual was designed as a supplement to the text Calculus: Modeling and Application by David A. Smith and Lawrence C. Moore", keywords = "Calculus -- Computer-assisted instruction; Calculus -- Laboratory manuals.; Maple (Computer file)", } @Book{Soto:1996:MCM, author = "Manuel J. Soto and Jose Luis {Vicente Cordoba}", title = "Matematicas con {Maple}", publisher = pub-AW-IBEROAMERICANA, address = pub-AW-IBEROAMERICANA:adr, pages = "viii + 281", year = "1996", ISBN = "0-201-65397-4, 0-201-65398-2 (disk)", ISBN-13 = "978-0-201-65397-7, 978-0-201-65398-4 (disk)", LCCN = "QA76.95.S67 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Mathematics -- Data processing.", } @Article{Stenger:1996:BRS, author = "Frank Stenger", title = "Book Reviews: {{\em Solving Problems in Scientific Computing Using MAPLE and MATLAB}}, by {Walter Gander} and {J{\'\i}r{\'\i} Hreb{\'\i}cek}", journal = j-MATH-COMPUT, volume = "65", number = "214", pages = "880--882", month = apr, year = "1996", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jul 26 11:57:34 1999", bibsource = "http://www.ams.org/mcom/1996-65-214; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00700-4&u=/mcom/1996-65-214/", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Book{Tocci:1996:AME, author = "Christopher Tocci and Steven G. Adams", title = "Applied {Maple} for engineers and scientists", publisher = pub-ARTECH, address = pub-ARTECH:adr, pages = "xvii + 406", year = "1996", ISBN = "0-89006-853-4", ISBN-13 = "978-0-89006-853-3", LCCN = "TA345.T63 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "The Artech House computer science library series", acknowledgement = ack-nhfb, annote = "System requirements: IBM compatible PC.", keywords = "Engineering mathematics -- Data processing; Maple (Computer file); Science -- Mathematics -- Data processing.", } @Article{Welfert:1996:ANM, author = "Bruno D. Welfert and Ricardo Aguilar", title = "Applied numerical methods and graphical visualization", journal = j-COMPUT-APPL-ENG-EDUC, volume = "4", number = "2", pages = "127--143", year = "1996", CODEN = "CAPEED", ISSN = "1061-3773 (print), 1099-0542 (electronic)", ISSN-L = "1061-3773", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "In this article, we describe an interactive, MATLAB-based, platform-independent, educational tool which integrates numerical methods for solving problems ranging from linear algebraic systems to partial differential systems with a graphical user interface. For modularity, the tool is divided into three blocks: (1) a collection of numerical methods, which constitutes the core of the package; (2) a series of examples, problems, and figures, which contributes to the understanding of the applicability of the numerical techniques implemented in the package; and (3) a graphics user interface, which integrates the methods and examples into MATLAB's graphical environment. The numerical methods range in complexity from elementary applications to more complex examples representative of engineering problems of interest. A help facility assists the user with the program features. Sample problems are presented to demonstrate the utility of the program as an educational tool and as a vehicle for introducing students to new numerical concepts and their graphical visualization.", acknowledgement = ack-nhfb, affiliation = "Arizona State Univ", affiliationaddress = "Tempe, AZ, USA", classification = "721.1; 722.2; 723.5; 901.2; 921.1; 921.2", fjournal = "Computer Applications in Engineering Education", journalabr = "Comput Appl Eng Educ", keywords = "Computational complexity; Computer aided instruction; Computer graphics; Computer simulation; Education computing; Graphical software visualization; Graphical user interfaces; Linear algebra; Numerical methods; Partial differential equations; Software package Maple; Software package Mathematica; Software package Matlab", } @Book{Werner:1996:MLM, author = "Wilhelm Werner", title = "{Mathematik lernen mit Maple: ein Lehr- und Arbeitsbuch f{\"u}r das Grundstudium: Grundlagen, Differentialrechnung, numerische Methoden}", publisher = pub-DPUNKT-VERLAG, address = pub-DPUNKT-VERLAG:adr, edition = "2. {\"u}berarb. und erw. Aufl. mit CD-ROM.", pages = "688", year = "1996", ISBN = "3-920993-43-8", ISBN-13 = "978-3-920993-43-0", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "CD-ROM: Worksheets, Demo-Version von Maple V, release 4.", keywords = "Maple (Computer file); Mathematics -- Data processing.", } @Misc{WMS:1996:MV, author = "{Waterloo Maple Software}", title = "{Maple V}", publisher = pub-SV, address = pub-SV:adr, edition = "Student, release 4.", pages = "9 computer disks", year = "1996", ISBN = "0-387-14229-0 (disks) 0-387-94536-9, 0-387-94575-X (boxed version)", ISBN-13 = "978-0-387-14229-6 (disks) 978-0-387-94536-1, 978-0-387-94575-0 (boxed version)", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Title from title screen. Additional ed. statement in file: The power ed. Mathematical environment for symbolic and numeric computation, two- and three-dimensional graphics, and programming. Features worksheet-based interface, animation, more than 2,500 built-in functions, and solutions to problems involving piecewise functions. System requirements: Intel 386, 486, Pentium of fully compatible processor; 18 MB of free hard disk space; 8 MB RAM; Windows 3.1x, Windows NT or Windows 95.", keywords = "Mathematics -- Data processing -- Software", } @Article{Wright:1996:BRM, author = "Francis J. Wright", title = "Book Reviews: {{\em Maple V by example}}, by {Martha L. Abell} and {James P. Braselton}", journal = j-MATH-COMPUT, volume = "65", number = "214", pages = "881--884", month = apr, year = "1996", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jul 26 11:57:34 1999", bibsource = "http://www.ams.org/mcom/1996-65-214; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00700-4&u=/mcom/1996-65-214/", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wursthorn:1996:RTM, author = "Martin Wursthorn", title = "Representation theory with {MAPLE}: an example", journal = "An. \c Stiin\c t. Univ. Ovidius Constan\c ta Ser. Mat.", volume = "4", number = "1", pages = "197--203", year = "1996", ISSN = "1223-723X", MRclass = "20C40", MRnumber = "MR1407534", bibdate = "Sat Apr 16 17:30:35 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Representation theory of groups, algebras, and orders (Constan{\c{t}}a, 1995)", fjournal = "Universit\u a\c tii ``Ovidius'' Constan\c ta. Analele \c Stiin\c tifice. Seria Matematic\u a", } @Book{Yeargers:1996:IMB, author = "Edward K. Yeargers and Ronald W. Shonkwiler and James V. Herod", title = "An introduction to the mathematics of biology: with computer algebra models", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "x + 417", year = "1996", ISBN = "0-8176-3809-1, 3-7643-3809-1", ISBN-13 = "978-0-8176-3809-2, 978-3-7643-3809-1", LCCN = "QH323.5.Y435 1996", bibdate = "Wed Jul 23 09:28:26 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$64.50", acknowledgement = ack-nhfb, annote = "Uses the Maple algebra system in every chapter.", } @Book{Adams:1997:MT, author = "Steven G. Adams", title = "{Maple} talk", publisher = pub-PH, address = pub-PH:adr, pages = "xx + 236", year = "1997", ISBN = "0-13-237306-8", ISBN-13 = "978-0-13-237306-7", LCCN = "QA76.95.A28 1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Mathematics -- Data processing.", } @Book{Andersson:1997:AMM, author = "Goran Andersson", title = "Applied mathematics with {Maple}", publisher = pub-CHARTWELL-BRATT, address = pub-CHARTWELL-BRATT:adr, pages = "448", year = "1997", ISBN = "91-44-00149-5 (paperback), 0-86238-490-7 (Chartwell-Bratt)", ISBN-13 = "978-91-44-00149-4 (paperback), 978-0-86238-490-6 (Chartwell-Bratt)", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Mathematics -- Data processing.", } @Article{Anonymous:1997:BRIc, author = "Anonymous", title = "Book Review: {{\booktitle{Introduction to Maple}}, (second edition): By Andr{\'e} Heck. Springer-Verlag, New York. (1996). 699 pages. DM 68.00; {{\"o}S} 496.40; sFr 60.00}", journal = j-COMPUT-MATH-APPL, volume = "33", number = "5", pages = "128--128", month = mar, year = "1997", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:37 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122197829318", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1997:BRIe, author = "Anonymous", title = "Book Review: {{\booktitle{Introduction to scientific programming: Computational problem solving using Maple and C}}: By Joseph Zachary. Springer-Verlag, New York. (1996). 380 pages. DM 78.00; {{\"o}S} 569.40; sFr 69.00 (diskette included)}", journal = j-COMPUT-MATH-APPL, volume = "33", number = "5", pages = "131--131", month = mar, year = "1997", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:37 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122197829446", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1997:BRMi, author = "Anonymous", title = "Book Review: {{\booktitle{The Maple{\reg} O.D.E. lab book}}: By Darren Redfern and Edgar Chandler. Springer-Verlag, New York. (1996). 160 pages. DM 44.00, {{\"o}S} 321.20, sFr 39.50 (diskette included)}", journal = j-COMPUT-MATH-APPL, volume = "33", number = "7", pages = "137--137", month = apr, year = "1997", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:38 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122197846020", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1997:CAR, author = "Anonymous", title = "Computer Algebra. {5th Rhine Workshop (RWCA)}", journal = j-THEOR-COMP-SCI, volume = "187", number = "1--2", pages = "??--??", day = "15", month = nov, year = "1997", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Wed May 27 07:21:35 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4185 (Finite element analysis); C4210 (Formal logic); C4210L (Formal languages and computational linguistics); C4240 (Programming and algorithm theory); C6130 (Data handling techniques); C7310 (Mathematics computing)", conflocation = "Saint-Louis, France; 1-3 April 1996", conftitle = "Computer Algebra. 5th Rhine Workshop (RWCA)", fjournal = "Theoretical Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/03043975", keywords = "computer algebra; differential equations; FEA; finite element analysis; Gr{\"o}bner walks; MAPLE software applications; mathematics computing; polynomials; process algebra; symbol manipulation; type theory", pubcountry = "Netherlands", } @Article{Ayari:1997:GMP, author = "M. A. Ayari and V. Hussin", title = "{GLie}: a {MAPLE} program for {Lie} supersymmetries of {Grassmann}-valued differential equations", journal = j-COMP-PHYS-COMM, volume = "100", number = "1-2", pages = "157--176", year = "1997", CODEN = "CPHCBZ", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "58-04 (17-04 58F35)", MRnumber = "MR1430679 (97k:58001)", bibdate = "Sat Apr 16 17:30:37 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", fjournal = "Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Book{Barrio:1997:CVP, author = "Roberto Barrio and Carlos Lopez and Eduardo Martinez", title = "Calculo vectorial: practicas con {Mathematica} y {Maple}", volume = "54", publisher = "Prensas Universitarias de Zaragoza", address = "Zaragoza, Spain", pages = "viii + 229", year = "1997", ISBN = "84-7733-488-9", ISBN-13 = "978-84-7733-488-0", LCCN = "????", bibdate = "Fri May 21 07:11:19 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Textos Docentes", acknowledgement = ack-nhfb, annote = "El ISBN que aparece en portada (84-7733-489-7) es incorrecto.", keywords = "Analisis vectorial -- Manuales; Maple (programa informatico).; Mathematica (programa informatico); Programacion lineal", } @TechReport{Bauschke:1997:FCS, author = "H. H. Bauschke and Martin {Von Mohrenschildt}", title = "{Fenchel} conjugates and subdifferentials in {Maple}", type = "Research Report", number = "CORR 97-23", institution = "Dept. of Combinatorics and Optimization, Faculty of Mathematics, University of Waterloo", address = "Waterloo, ON, Canada", pages = "14", year = "1997", ISSN = "0384-0115", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @InProceedings{Bernardin:1997:MMP, author = "Laurent Bernardin", title = "{Maple} on a massively parallel, distributed memory machine", crossref = "Kaltofen:1997:PPS", pages = "217--222", year = "1997", DOI = "https://doi.org/10.1145/266670.266732", bibdate = "Thu Mar 12 07:28:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/266670/p217-bernardin/", acknowledgement = ack-nhfb, keywords = "algorithms; design; languages; MuPAD; performance", subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf C.1.2} Computer Systems Organization, PROCESSOR ARCHITECTURES, Multiple Data Stream Architectures (Multiprocessors), Parallel processors**. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials.", } @Article{Bernardin:1997:SFF, author = "Laurent Bernardin", title = "On square-free factorization of multivariate polynomials over a finite field", journal = j-THEOR-COMP-SCI, volume = "187", number = "1--2", pages = "105--116", day = "15", month = nov, year = "1997", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:21:20 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=187&issue=1-2; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=187&issue=1-2&aid=2595", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C6130 (Data handling techniques); C7310 (Mathematics computing)", conftitle = "Computer Algebra. 5th Rhine Workshop (RWCA)", corpsource = "Inst. fur Wissenschaftliches Rechnen, Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Theoretical Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/03043975", keywords = "Axiom; characteristic 0; deterministic algorithm; deterministic algorithms; evaluation points; finite field; GCD algorithm; Maple; mathematics computing; modular algorithm; modular approach; multivariate polynomials; polynomials; square free decomposition; square free factorization; square free factorization algorithm; symbol manipulation", pubcountry = "Netherlands", treatment = "P Practical", } @Book{Brooks:1997:IMC, author = "David R. Brooks", title = "An introduction to {MAPLE} for college algebra", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xii + 180", year = "1997", ISBN = "0-534-34757-6", ISBN-13 = "978-0-534-34757-4", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Algebra -- Programmed instruction.", } @Book{BrooksCole:1997:MVM, author = "{Brooks and Cole Publishing Company}", title = "{Maple V} ({Macintosh} edition)", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Student, release 4.", pages = "9 computer disks", year = "1997", ISBN = "0-534-34025-3 (disks) 0-534-34023-7 (container) 0-534-26202-3 (manual)", ISBN-13 = "978-0-534-34025-4 (disks) 978-0-534-34023-0 (container) 978-0-534-26202-0 (manual)", LCCN = "QA76.95 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, alttitle = "Maple 5 Maple five", annote = "Title from container sleeve. Additional ed. statement on container sleeve: The power ed. Mathematical environment for symbolic and numeric computation, two- and three-dimensional graphics, and programming. Features worksheet-based interface, animation, more than 2,500 built-in functions, and solutions to problems involving piecewise functions. System requirements: 68030 Macintosh, PowerPC, or better; 8MB RAM; System 7.0 or later; hard disk with 16-21 MB free space.", keywords = "Mathematics -- Software.", } @Book{BrooksCole:1997:MVW, author = "{Brooks and Cole Publishing Company}", title = "{Maple V} (Windows edition)", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Student, release 4.", pages = "9 computer disks", year = "1997", ISBN = "0-534-34024-5 (disks), 0-534-34022-9 (container), 0-534-26202-3 (manual)", ISBN-13 = "978-0-534-34024-7 (disks), 978-0-534-34022-3 (container), 978-0-534-26202-0 (manual)", LCCN = "QA76.95 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, alttitle = "Maple 5 Maple five", annote = "Title from container sleeve. Additional ed. statement on container sleeve: The power ed. Mathematical environment for symbolic and numeric computation, two- and three-dimensional graphics, and programming. Features worksheet-based interface, animation, more than 2,500 built-in functions, and solutions to problems involving piecewise functions. System requirements: 386 or 486 PC; 8MB RAM; Windows 3.1X, Windows 95, or Windows NT 3.5X; hard disk with 18MB free space.", keywords = "Mathematics -- Software.", } @Book{Carlson:1997:MMM, author = "James A. Carlson and Jennifer M. Johnson", title = "Multivariable mathematics with {Maple}: linear algebra, vector calculus and differential equations", publisher = pub-PH, address = pub-PH:adr, pages = "vi + 290", year = "1997", ISBN = "0-13-270315-7 (paperback)", ISBN-13 = "978-0-13-270315-4 (paperback)", LCCN = "QA185.D37 C37 1997", bibdate = "Mon May 11 12:46:28 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "algebras, linear -- data processing; differential equations -- data processing; Maple (computer file); vector analysis -- data processing", } @Article{Caron:1997:ASMa, author = "P. Caron", title = "{AG}: a Set of {Maple} Packages for Symbolic Computing of Automata and Semigroups", journal = j-LECT-NOTES-COMP-SCI, volume = "1214", pages = "879--??", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Fri Aug 22 11:59:49 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @Article{Caron:1997:ASMb, author = "Pascal Caron", title = "{AG}: a Set of {Maple} Packages for Manipulating Automata and Semigroups", journal = j-SPE, volume = "27", number = "8", pages = "863--884", month = aug, year = "1997", CODEN = "SPEXBL", ISSN = "0038-0644 (print), 1097-024X (electronic)", ISSN-L = "0038-0644", bibdate = "Thu Jul 29 15:11:26 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www3.interscience.wiley.com/journalfinder.html", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=7323; http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=7323&PLACEBO=IE.pdf", acknowledgement = ack-nhfb, fjournal = "Software---Practice and Experience", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-024X", } @InCollection{Chu:1997:GRC, author = "Kenneth C.-K. Chu and Cesar E. Farell and Greg J. Fee and R. G. McLenaghan", booktitle = "The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics (Fredericton, NB, 1995)", title = "General relativity calculations in {Maple}", volume = "15", publisher = pub-AMS, address = pub-AMS:adr, pages = "195--199", year = "1997", MRclass = "83-04 (83-08)", MRnumber = "MR1463205 (98e:83001)", MRreviewer = "Sergey I. Tertychniy", bibdate = "Sat Apr 16 17:30:40 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Fields Inst. Commun.", } @Book{Connell:1997:MLS, author = "Howard J. (Howard John) Connell", title = "{Maple} laboratory sessions. Part 1", publisher = "Mathematics Dept., RMIT", address = "Melbourne, Victoria, Australia", pages = "vii + 77 + xxxi", month = feb, year = "1997", ISBN = "0-86444-635-7", ISBN-13 = "978-0-86444-635-0", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "RMIT lecture notes in mathematics", acknowledgement = ack-nhfb, keywords = "Mathematics -- Study and teaching (Higher) -- Victoria; Problems, exercises, etc.", } @Book{Coombes:1997:DEM, author = "Kevin Robert Coombes", title = "Differential equations with {Maple}", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Second (Revised for {Maple V, release 4})", pages = "v + 240", year = "1997", ISBN = "0-471-17645-1", ISBN-13 = "978-0-471-17645-9", LCCN = "QA371.5.D37 D53 1997 Bar", bibdate = "Mon May 11 12:46:28 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "differential equations -- numerical solutions -- data processing; Maple (computer file)", } @Book{Cornil:1997:MVR, author = "Jack-Michel Cornil and Philippe Testud", title = "{Maple V Release 4}: introduction raisonn{\`e}e {\`a} l'usage de l'{\'e}tudiant, de l'ing{\'e}nieur et du chercheur", publisher = pub-SV, address = pub-SV:adr, pages = "xxi + 471", year = "1997", ISBN = "3-540-63186-0", ISBN-13 = "978-3-540-63186-6", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = ": p.[463]-471.", keywords = "Calcul formel; Maple (Logiciel); Mathematics -- Data processing", } @Article{Dimitrova:1997:VSL, author = "Nelli S. Dimitrova and Christian P. Ullrich", title = "Verified solving of linear systems with uncertainties in {Maple}", journal = j-LECT-NOTES-COMP-SCI, volume = "1196", publisher = pub-SV, address = pub-SV:adr, pages = "142--149", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", MRclass = "65F10 (65G10)", MRnumber = "MR1475959", bibdate = "Sat Apr 16 17:30:43 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Lecture Notes in Comput. Sci.", fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @Book{Donato:1997:MQT, author = "P. (Paul) Donato", title = "{Maple}: quinze th{\`e}mes math{\'e}matiques", publisher = "Diderot multimedia", address = "Paris, France", pages = "vi + 181", year = "1997", ISBN = "2-84352-043-6", ISBN-13 = "978-2-84352-043-3", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Biblioth{\`e}que pratique: premier cycle and classes pr{\'e}paratoires", acknowledgement = ack-nhfb, keywords = "Maple (logiciel); Mathematics", } @Book{Dumas:1997:MSB, author = "Philippe Dumas and Xavier Gourdon", title = "{Maple}: son bon usage en math{\'e}matiques", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 460", year = "1997", ISBN = "3-540-63140-2", ISBN-13 = "978-3-540-63140-8", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple (logiciel); Maple (logiciel) -- Probl{\`e}mes et exercices.", } @Article{ElHamidi:1997:UMA, author = "A. {El Hamidi} and M. Garbey", title = "Using {MAPLE} for the analysis of bifurcation phenomena in gas combustion", journal = j-THEOR-COMP-SCI, volume = "187", number = "1--2", pages = "249--262", day = "15", month = nov, year = "1997", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:21:20 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=187&issue=1-2; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=187&issue=1-2&aid=2604", acknowledgement = ack-nhfb, classification = "C6130 (Data handling techniques); C7310 (Mathematics computing); C7320 (Physics and chemistry computing)", conftitle = "Computer Algebra. 5th Rhine Workshop (RWCA)", corpsource = "Dept. de Math., La Rochelle Univ., France", fjournal = "Theoretical Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/03043975", keywords = "bifurcation; bifurcation phenomena; chemistry computing; combustion; flame front; gas combustion; MAPLE; mathematics computing; numerical computations; physical parameters; premixed burner flame; symbol manipulation; symbolic manipulation language; thermal diffusion; three dimensional thermal diffusion model", pubcountry = "Netherlands", treatment = "P Practical", } @Book{Ellis:1997:MVF, author = "Wade Ellis", title = "{Maple V} flight manual release 4: tutorials for calculus, linear algebra, and differential equations", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xiv + 168", year = "1997", ISBN = "0-534-26202-3", ISBN-13 = "978-0-534-26202-0", LCCN = "QA76.95 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Brooks/Cole symbolic computation series", acknowledgement = ack-nhfb, annote = "For Macintosh and Windows operating systems.", keywords = "Algebra -- Data processing; Calculus -- Data processing.; Maple (Computer file)", } @Book{Ellis:1997:MVM, author = "Wade Ellis", title = "{Maple V in der mathematischen Anwendung}", publisher = pub-ITP, address = "", edition = "2. aktualisierte und {\"u}berarbeitete Aufl.", pages = "186", year = "1997", ISBN = "3-8266-0353-2", ISBN-13 = "978-3-8266-0353-2", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "F{\"u}r Maple V Release 4.", keywords = "Maple (Computer file); Maple (Fichier d'ordinateur); Mathematics -- Data processing; Math{\'e}matiques -- Informatique.", } @Book{Enns:1997:LMN, author = "Richard Enns and George McGuire", title = "Laboratory Manual for Nonlinear Physics with {Maple} for Scientists and Engineers", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xii + 136", year = "1997", ISBN = "0-8176-3841-5 (lab manual), 0-8176-3977-2 (text + lab manual)", ISBN-13 = "978-0-8176-3841-2 (lab manual), 978-0-8176-3977-8 (text + lab manual)", LCCN = "QC20.7.N6E56 1997", bibdate = "Wed Jul 23 09:30:07 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$54.50", acknowledgement = ack-nhfb, } @Book{Enns:1997:NPMa, author = "Richard H. Enns and George McGuire", title = "Nonlinear Physics with {Maple} for Scientists and Engineers", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "x + 389", year = "1997", ISBN = "0-8176-3841-5 (paperback), 0-8176-3841-5 (lab manual), 0-8176-3977-2 (set)", ISBN-13 = "978-0-8176-3841-2 (paperback), 978-0-8176-3841-2 (lab manual), 978-0-8176-3977-8 (set)", LCCN = "QC20.7.N6 E56 1997", bibdate = "Mon May 11 12:27:30 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$54.50", acknowledgement = ack-nhfb, xxtitle = "Experimental Activities in Nonlinear Physics", } @Book{Enns:1997:NPMb, author = "Richard H. Enns and George McGuire", title = "Nonlinear Physics with {Maple} Files and Experiments", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "x + 389", year = "1997", ISBN = "0-8176-3838-5 (paperback), 0-8176-3841-5 (lab manual), 0-8176-3977-2 (set)", ISBN-13 = "978-0-8176-3838-2 (paperback), 978-0-8176-3841-2 (lab manual), 978-0-8176-3977-8 (set)", LCCN = "QC20.7.N6 E56 1997", bibdate = "Mon May 11 12:34:40 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Article{Fritzsche:1997:MPC, author = "S. Fritzsche", title = "{Maple} procedures for the coupling of angular momenta {I}. Data structures and numerical computations", journal = j-COMP-PHYS-COMM, volume = "103", number = "1", pages = "51--73", month = jun, year = "1997", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/S0010-4655(97)00032-5", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:30:16 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465597000325", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Book{Gander:1997:SPS, author = "W. Gander and J. Hr{\v{e}}b{\'\i}{\v{c}}ek", title = "Solving Problems in Scientific Computing using {Maple} and {MATLAB}", publisher = pub-SV, address = pub-SV:adr, edition = "Third", pages = "xvii + 408", year = "1997", ISBN = "3-540-61793-0", ISBN-13 = "978-3-540-61793-8", LCCN = "Q183.9 .G36 1997", bibdate = "Mon May 11 12:47:17 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$49.95", acknowledgement = ack-nhfb, keywords = "maple (computer file); matlab; science -- data processing", } @Book{Garvan:1997:MVP, author = "Frank Garvan", title = "The {Maple V} Primer: Release 4", publisher = pub-CRC, address = pub-CRC:adr, pages = "143", year = "1997", ISBN = "0-8493-2681-8", ISBN-13 = "978-0-8493-2681-3", LCCN = "QA155.7.E4G37 1997", bibdate = "Thu Jul 03 17:16:02 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$15.95", acknowledgement = ack-nhfb, keywords = "Algebra -- Data processing; Maple (Computer file)", } @Article{Greene:1997:BRR, author = "Ronald L. Greene", title = "Book Review: {Richard H. Enns and George C. McGuire, \booktitle{Nonlinear Physics with Maple for Scientists and Engineers}}", journal = j-COMPUT-PHYS, volume = "11", number = "5", pages = "451--??", month = sep, year = "1997", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.4822590", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Wed Apr 10 08:46:09 MDT 2019", bibsource = "http://www.math.utah.edu/pub/tex/bib/computphys.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "https://aip.scitation.org/doi/10.1063/1.4822590", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", } @MastersThesis{Kimura:1997:MDU, author = "Ikuo Kimura", title = "Multi-link dynamics using {Lagrange}'s equations, {Maple}, and a kinamatic [sic] recursive formula", type = "Thesis (M.S.)", school = "California State University, Long Beach", address = "Long Beach, CA, USA", pages = "xii + 130", year = "1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Manipulators (Mechanism) -- Automatic control -- Algorithms.; Manipulators (Mechanism) -- Automatic control -- Mathematical; models", } @Book{Klimek:1997:DCS, author = "Grazyna Klimek and Maciej Klimek", title = "Discovering curves and surfaces with {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 217", year = "1997", ISBN = "0-387-94890-2 (hardcover)", ISBN-13 = "978-0-387-94890-4 (hardcover)", LCCN = "QA 567 K58 1997", bibdate = "Mon May 11 12:46:28 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "computer aided design; curves, algebraic -- data processing; Maple (computer file); surfaces -- data processing", } @Book{Kofler:1997:MIR, author = "Michael Kofler", title = "{Maple}: an introduction and reference", publisher = pub-AW, address = pub-AW:adr, pages = "xx + 522", year = "1997", ISBN = "0-201-17899-0", ISBN-13 = "978-0-201-17899-9", LCCN = "QA76.95.K64 1997", bibdate = "Sat Oct 10 12:42:09 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Krawietz:1997:MVI, author = "Arnold Krawietz", title = "{Maple V f{\"u}r Ingenieurstudium}", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 358", year = "1997", ISBN = "3-540-60223-2", ISBN-13 = "978-3-540-60223-1", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple (Computer file)", } @Book{Leicknam:1997:LM, author = "Jean-Claude Leicknam and Genevi{\`e}ve Bidaud and Michel Quaggetto and Fran{\c{c}}ois-Xavier Testard-Vaillant", title = "15 le{\c{c}}ons de {Maple}", publisher = pub-MASSON, address = pub-MASSON:adr, pages = "xii + 216", year = "1997", ISBN = "2-225-85625-7", ISBN-13 = "978-2-225-85625-9", ISSN = "1270-9069", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Enseignement de l'informatique", acknowledgement = ack-nhfb, keywords = "Maple (logiciel); Math{\'e}matiques -- Informatique", } @Book{Lemelin:1997:MVP, author = "Mario Lemelin", title = "{Maple V} pour les sciences: introduction sur les fonctionnalit{\'e}s du logiciel de calcul symbolique", publisher = "Editions Le Griffon d'argile", address = "Sainte-Foy, PQ, Canada", edition = "Ed. provisoire.", pages = "221", year = "1997", ISBN = "2-89443-052-3", ISBN-13 = "978-2-89443-052-1", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Comprend un index. Sur la couv.: Windows 3.11, Windows 95, Windows NT, Macintosh.", } @Book{Levine:1997:AMM, author = "Albert Levine", title = "Aide-m{\'e}moire {Maple}", publisher = "Ellipse-Edition Marketing", address = "Paris, France", pages = "127", year = "1997", ISBN = "2-7298-6797-X", ISBN-13 = "978-2-7298-6797-3", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Calcul formel -- Informatique; Maple (logiciel)", } @Article{McDowell:1997:CGM, author = "Sean A. C. McDowell", title = "Computation of General Multipole Moment Expansions for {$N$} Atoms by {MAPLE}", journal = j-IJQC, volume = "62", number = "4", pages = "343--351", day = "15", month = apr, year = "1997", CODEN = "IJQCB2", DOI = "https://doi.org/10.1002/(SICI)1097-461X(1997)62:4<343::AID-QUA2>3.0.CO;2-W", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Tue Oct 4 06:59:08 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/ijqc1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www3.interscience.wiley.com/journalfinder.html", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=42521; http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=42521&PLACEBO=IE.pdf", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/", onlinedate = "6 Dec 1998", } @Book{Merceille:1997:EMC, author = "Jean-Bernard Merceille and Alain-F Nizard and Marc Peronnet", title = "Exercices de {Maple}: calculs, traces, programmation {SUP} et {SPE}: r{\'e}sum{\'e}s de cours, 81 exercices et probl{\`e}mes avec solutions", publisher = pub-MASSON, address = pub-MASSON:adr, pages = "188", year = "1997", ISBN = "2-225-85444-0", ISBN-13 = "978-2-225-85444-6", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Flash. Prepa", acknowledgement = ack-nhfb, keywords = "Maple (logiciel) -- Probl{\`e}mes et exercices; Math{\'e}matiques -- Informatique.", } @Book{Monagan:1997:PAM, author = "M. B. Monagan and Nicolas Puech", title = "Programmer avec {Maple V}", publisher = pub-SV, address = pub-SV:adr, pages = "395", year = "1997", ISBN = "3-540-60734-X", ISBN-13 = "978-3-540-60734-2", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, alttitle = "Maple V : programming Guide. Fran{\c{c}}ais.", annote = "French translation of Maple V programming guide.", keywords = "Maple (Logiciel).", } @Book{Muller:1997:EFA, author = "Jean-Michel Muller", title = "Elementary functions: algorithms and implementation", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xv + 204", year = "1997", ISBN = "0-8176-3990-X", ISBN-13 = "978-0-8176-3990-7", LCCN = "QA331.M866 1997", bibdate = "Fri Jul 25 12:00:55 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$59.95", URL = "http://www.birkhauser.com/cgi-win/ISBN/0-8176-3990-X; http://www.ens-lyon.fr/~jmmuller/book_functions.html", acknowledgement = ack-nhfb, } @Article{Nicolaides:1997:MCI, author = "Roy Nicolaides and Noel Walkington and Patrick Fitzpatrick", title = "Maple: a Comprehensive Introduction", journal = j-SIAM-REVIEW, volume = "39", number = "4", pages = "792--??", month = dec, year = "1997", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Apr 9 08:47:36 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Book{Parker:1997:MA, author = "Richard Parker", title = "{Maple} for Algebra", publisher = pub-DELMAR-PUB, address = pub-DELMAR-PUB:adr, pages = "xi + 308", year = "1997", ISBN = "0-8273-7407-0", ISBN-13 = "978-0-8273-7407-2", LCCN = "QA155.7.E4P35 1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Algebra -- Computer-assisted instruction; Maple (Computer file)", } @Book{Parker:1997:MBC, author = "Richard Parker", title = "{Maple} for basic calculus", publisher = pub-DELMAR-PUB, address = pub-DELMAR-PUB:adr, pages = "375", year = "1997", ISBN = "0-8273-7408-9", ISBN-13 = "978-0-8273-7408-9", LCCN = "QA303.5.C65P37 1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Calculus -- Computer-assisted instruction; Maple (Computer file)", } @Book{Parker:1997:MT, author = "Richard Parker", title = "{Maple} for trigonometry", publisher = "Delmar", address = "Albany, NY, USA", pages = "viii + 235", year = "1997", ISBN = "0-8273-7409-7 (paperback)", ISBN-13 = "978-0-8273-7409-6 (paperback)", LCCN = "QA538.P37 1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Trigonometry -- Computer-assisted instruction", } @Article{Pflugel:1997:LVD, author = "E. Pfl{\"u}gel", title = "On the latest version of {DESIR-II}", journal = j-THEOR-COMP-SCI, volume = "187", number = "1--2", pages = "81--86", day = "15", month = nov, year = "1997", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:21:20 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=187&issue=1-2; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=187&issue=1-2&aid=2593", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7310 (Mathematics computing)", conftitle = "Computer Algebra. 5th Rhine Workshop (RWCA)", corpsource = "LMC, IMAG, Grenoble, France", fjournal = "Theoretical Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/03043975", keywords = "asymptotic representations; DESIR-II; difference equations; linear differential equations; MAPLE V; online-help; symbol manipulation", pubcountry = "Netherlands", treatment = "T Theoretical or Mathematical", } @Article{Portugal:1997:AMG, author = "R. Portugal and S. L. Saut{\'u}", title = "Applications of {Maple} to general relativity", journal = j-COMP-PHYS-COMM, volume = "105", number = "2--3", pages = "233--253", day = "1", month = oct, year = "1997", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/S0010-4655(97)00078-7", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:30:19 MST 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465597000787", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", } @Book{Redfern:1997:MDL, author = "Darren Redfern and Ed Chandler", title = "{Maple O.D.E.} lab book", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 160", year = "1997", ISBN = "0-387-94733-7", ISBN-13 = "978-0-387-94733-4", LCCN = "QA371.5.D37R43 1996", bibdate = "Wed Jul 23 09:39:40 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", price = "US\$29.95", acknowledgement = ack-nhfb, } @Book{Rosen:1997:EDM, author = "Kenneth H. Rosen", title = "Exploring discrete mathematics with {Maple}", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, edition = "Third", pages = "viii + 387 + 4", year = "1997", ISBN = "0-07-054128-0", ISBN-13 = "978-0-07-054128-3", LCCN = "QA76.95.E96 1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Supplement to Ken Rosen's text Discrete mathematics and its applications, third edition.", keywords = "Computer science -- Mathematics -- Data processing.; Maple (Computer file); Mathematics -- Data processing", } @Book{Rotaru:1997:MAM, author = "Paul Rotaru", title = "Math{\'e}matiques avec {Maple}", publisher = "Diderot Editeur, Arts et sciences", address = "Paris, France", pages = "x + 734", year = "1997", ISBN = "2-84134-052-X", ISBN-13 = "978-2-84134-052-1", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Biblioth{\`e}que des sciences", acknowledgement = ack-nhfb, annote = "Premier cycle, classes pr{\'e}paratoires", keywords = "Maple (logiciel).; Math{\'e}matiques -- Informatique", } @PhdThesis{Runge:1997:IMT, author = "Alan P. Runge", title = "Impact of {Maple} on the design, instruction and performance in an undergraduate physics mathematical methods course", type = "Thesis (Ph. D.)", school = "University of Nebraska", address = "Lincoln, NE, USA", pages = "v + 334", year = "1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, } @Book{Rybowicz:1997:MVR, author = "Marc Rybowicz and Jean-Pierre Massias", title = "{Maple V release 4}: un syst{\`e}me de calcul formel {PC}\slash {Windows} --- {Unix}\slash {X-Window}", publisher = pub-EYROLLES, address = pub-EYROLLES:adr, pages = "207", year = "1997", ISBN = "2-212-08875-2", ISBN-13 = "978-2-212-08875-5", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple (logiciel).", } @Article{Styer:1997:BRM, author = "Daniel Styer and Susan R. McKay and Wolfgang Christian", title = "Book Review: {Marko Horbatsch, \booktitle{Quantum Mechanics Using Maple}}", journal = j-COMPUT-PHYS, volume = "11", number = "2", pages = "165--??", month = mar, year = "1997", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.4822533", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Wed Apr 10 08:46:06 MDT 2019", bibsource = "http://www.math.utah.edu/pub/tex/bib/computphys.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "https://aip.scitation.org/doi/10.1063/1.4822533", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", } @Article{Veigneau:1997:SPS, author = "S{\'e}bastien Veigneau", title = "{SP}, a Package for {Schubert} Polynomials Realized with the Computer Algebra System {MAPLE}", journal = j-J-SYMBOLIC-COMP, volume = "23", number = "4", pages = "413--425", month = apr, year = "1997", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "68Q40 (05E15 14M15)", MRnumber = "MR1445434 (98f:68140)", MRreviewer = "E. Aky{\i} ld{\i} z", bibdate = "Thu Jul 30 07:11:32 MDT 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", journalabr = "J Symb Comput", xxpages = "413--426", } @Book{Westermann:1997:MIM, author = "T. (Thomas) Westermann", title = "{Mathematik f{\"u}r Ingenieure mit Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "v.", year = "1997", ISBN = "3-540-61248-3", ISBN-13 = "978-3-540-61248-3", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "For use with Maple V, release 4. Band 2. Differential- und Integralrechnung f{\"u}r Funktionen mehrerer Variablen, gewohnliche und partielle Differentialgleichungen, Fourier-Analysis.", keywords = "Maple (Computer file)", } @Misc{WMI:1997:Ma, author = "{Waterloo Maple, Inc}", title = "{MathView}", publisher = "Waterloo Maple, Inc.", address = "Ontario, Canada", pages = "3 computer disks", year = "1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, alttitle = "Waterloo Maple MathView Math View", annote = "Disks: MathView 2.5 for Macintosh Single User (2 disks) -- MathView Internet for Macintosh. System requirements: Macintosh Plus (68030 processor); 2.0 MB RAM; hard disk with at least 3 MB free space; system 7.1.1 or later.", keywords = "Calculus -- Software.; Mathematics -- Study and teaching (Higher) -- Software; Mathematics -- Study and teaching (Secondary) -- Software", } @Misc{WMI:1997:Mb, author = "{Waterloo Maple, Inc}", title = "{MathView}", publisher = "Waterloo Maple, Inc.", address = "Ontario, Canada", pages = "4 computer disks", year = "1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, alttitle = "Waterloo Maple MathView Math View", annote = "Disks: MathView 2.5 for Windows Single User (disk 1 and 2) -- MathView Internet for Windows 95 and NT -- MathView Internet for Windows 3.1. System requirements: 80386 or later CPU running Microsoft Windows (version 3.1 or later in enhanced mode), Windows 95, or Windows NT; at least 2MB RAM and 3MB free hard disk space.", keywords = "Calculus -- Software.; Equations -- Formulae -- Software; Mathematics -- Study and teaching (Higher) -- Software; Mathematics -- Study and teaching (Secondary) -- Software", } @MastersThesis{Yuan:1997:SMP, author = "Dongsheng Yuan", title = "{STREED}: a {Maple} package of modeling of uncertain systems", type = "Thesis (M.S.)", school = "Florida State University", address = "Tallahassee, FL, USA", pages = "x + 103", year = "1997", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Automatic control -- Mathematical models; Feedback control systems -- Mathematical models; Maple (Computer file); Uncertainty (Information theory)", } @Book{Alame:1998:MVC, author = "Ibrahim Alame and Patrick {Le Quere}", title = "{Maple V.4}: cours et probl{\`e}mes r{\'e}solus classes pr{\'e}paratoires et 1er cycle", publisher = pub-EYROLLES, address = pub-EYROLLES:adr, pages = "323", year = "1998", ISBN = "2-212-08988-0", ISBN-13 = "978-2-212-08988-2", LCCN = "????", bibdate = "Fri May 21 06:22:29 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, keywords = "Maple (logiciel)", } @Article{Anonymous:1998:BRDc, author = "Anonymous", title = "Book Review: {{\booktitle{Discovering curves and surfaces with Maple{\reg}}}: By Grazyna Klimek and Maciej Klimek. Springer, New York. (1997). 217 pages. \$49.00, DM 86.00, {{\"o}S} 627.80, sFr 78.50, GBP 28.00 (diskette included)}", journal = j-COMPUT-MATH-APPL, volume = "35", number = "5", pages = "135--135", month = mar, year = "1998", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:47 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S089812219890743X", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Anonymous:1998:BRPi, author = "Anonymous", title = "Book Review: {{\booktitle{Partial differential equations for computational science: With Maple{\reg} and vector analysis}}: By David Betounes. Springer, New York. (1998). \$64.95, sFr 116.50, DM 128.00, {{\"o}S} 935.00 (CD-ROM included)}", journal = j-COMPUT-MATH-APPL, volume = "36", number = "8", pages = "126--126", month = oct, year = "1998", CODEN = "CMAPDK", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Wed Mar 1 21:48:54 MST 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0898122198911816", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Book{Articolo:1998:PDE, author = "George A. Articolo", title = "Partial differential equations and boundary value problems with {Maple V}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xii + 628", year = "1998", ISBN = "0-12-064475-4", ISBN-13 = "978-0-12-064475-9", LCCN = "QA377.A82 1998", bibdate = "Fri May 21 06:22:29 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "System requirements: Windows and Macintosh.", keywords = "Boundary value problems -- Data processing.; Differential equations, Partial -- Data processing; Maple (Computer file)", } @Book{Barrow:1998:SDE, author = "David Barrow and others", title = "Solving differential equations with {Maple V, release 4}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "viii + 253", year = "1998", ISBN = "0-534-34555-7", ISBN-13 = "978-0-534-34555-6", LCCN = "QA371.5.D37S65 1998", bibdate = "Fri May 21 06:22:29 MDT 1999", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Brooks/Cole symbolic computation series", acknowledgement = ack-nhfb, keywords = "Differential equations -- Numerical solutions -- Data processing.; Maple (Computer file)", } @Book{Benker:1998:ICS, author = "Hans Benker", title = "{Ingenieurmathematik mit Computeralgebra-Systemen: AXIOM, DERIVE, MACSYMA, MAPLE, MATHCAD, MATHEMATICA, MATHLAP und MuPAD in der Anwendung}. ({German}) [{Engineering} mathematics with computer algebra systems: {AXIOM}, {DERIVE}, {MACSYMA}, {MAPLE}, {MATHCAD}, {MATHEMATICA}, {MATHLAP} and {MuPAD} in their use]", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "xiii + 439", year = "1998", ISBN = "3-528-05673-8", ISBN-13 = "978-3-528-05673-5", LCCN = "????", bibdate = "Wed Apr 10 15:53:11 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, language = "German", } @Book{Betounes:1998:PDE, author = "David Betounes", title = "Partial differential equations for computational science: with {Maple} and vector analysis", publishe