Last update:
Mon Sep 5 07:27:03 MDT 2016
Anonymous A Brief History of Maple . . . . . . . . ??
Anonymous Advances with Maple 4.0 . . . . . . . . ??
Anonymous Questions and Answers . . . . . . . . . ??
Anonymous Availability of Maple . . . . . . . . . ??
Anonymous What's new in Maple 4.1 . . . . . . . . ??
G. H. Gonnet Examples of Maple, applied to problems
from the American Mathematical Monthly ??
Andrew Granville and
Michael Monagan The First case of Fermat's Last Theorem
for all Prime Exponents up to
714,591,416,091,389 . . . . . . . . . . ??
Michael Monagan A Plotting Facility in Maple . . . . . . ??
Michael Monagan Announcement of Maple 4.0 for the Cray 2 ??
Anonymous Questions and Answers . . . . . . . . . ??
Anonymous Computer Algebra Systems in Education ??
Anonymous Availability of Maple . . . . . . . . . ??
Anonymous What's new in Maple 4.2 . . . . . . . . ??
Michael Monagan Automatic Simplification in Maple . . . ??
Tony Scott A New Approach to Definite Integration
for Maple 4.3 . . . . . . . . . . . . . ??
Michael Monagan On Manipulating Polynomials in Maple . . ??
J. S. Devitt Packages as an Integral Part of Maple ??
J. S. Devitt A Symbolic Proof of the Mean Value
Theorem . . . . . . . . . . . . . . . . ??
Anonymous Availability of Maple . . . . . . . . . ??
J. William Friel News and Announcements: Now, Are You
Convinced? . . . . . . . . . . . . . . . ??
J. S. Devitt The Full Power of Maple on a Mac Plus ??
G. J. Fee AMM Problem E2983 . . . . . . . . . . . ??
Michael B. Monagan The Collect Function in Maple . . . . . ??
Gaston H. Gonnet AMM Problem E3229 . . . . . . . . . . . ??
Michael B. Monagan Fortran Translation and Optimization . . ??
Gaston H. Gonnet Heuristic Primality Testing . . . . . . ??
Anonymous News and Announcements: Features of
Maple V . . . . . . . . . . . . . . . . ??
Gregory Fee and
Michael Monagan User defined aliases and factorization
over finite and algebraic number fields ??
Tony Scott Recipes for Solving Definite Integrals
Involving Exponentials and Logarithms
(Part II) . . . . . . . . . . . . . . . ??
Anu Pathria Indefinite Summation in Maple . . . . . ??
Bruno Salvy Three ways to get Stirling's Formula in
Maple . . . . . . . . . . . . . . . . . ??
Greg Fee Numerical Solution of a Differential
Equation presented in the problem
section of the American Mathematical
Monthly . . . . . . . . . . . . . . . . ??
Tony Scott Application of Variational Principles to
a Simple Quantum Mechanical Problem
using the Maple System . . . . . . . . . ??
Keith O. Geddes Numerical Integration using Symbolic
Analysis . . . . . . . . . . . . . . . . ??
Gaston H. Gonnet Computations on the $3n+1$ Conjecture ??
Anu K. Pathria Archimedes' Theorem of the Broken Chord ??
R. Peikert and
D. Wurtz and
M. Monagan and
C. de Groot Packing Circles in a Square . . . . . . ??
Sanjay Radia and
Tony C. Scott Queuing Analysis of Multiprocessing . . ??
Tony C. Scott and
Michael B. Monagan and
Greg Fee and
Robert Corless Applications of Maple to Mathematical,
Scientific and Engineering Problems . . ??
Tony Scott and
Darren Redfern A Note from the Editors . . . . . . . . 1--3
Anonymous News and Announcements . . . . . . . . . 4--8
Anonymous Maple V and AVS . . . . . . . . . . . . 9--10
Tony Scott and
Richard Pavele and
Darren Redfern Maple in Education . . . . . . . . . . . 11--16
Michael M. Monagan and
J. S. Devitt The $D$ Operator and Algorithmic
Differentiation . . . . . . . . . . . . 17--24
Eugene Johnson Working with linalg . . . . . . . . . . 25--30
Gaston H. Gonnet A Problem in Phylogenetic Tree Building 31--38
Daniel Schwalbe Using Phase Portraits to Understand
Population Dynamics . . . . . . . . . . 39--43
Walter Gander and
Dominik Gruntz The Billiard Problem . . . . . . . . . . 44--49
Mark H. Holmes and
Jonathan Bell An Application of Maple to Chemical
Kinetics . . . . . . . . . . . . . . . . 50--55
Anonymous Guidelines for Authors . . . . . . . . . 56--56
Anonymous Acknowledgements . . . . . . . . . . . . 56--56
Tony Scott and
Darren Redfern A Note from the Editors . . . . . . . . 1--3
Anonymous News and Announcements . . . . . . . . . 4--15
Marc Rybowicz Extended Capabilities for Computing with
Algebraic Functions and Numbers . . . . 16--23
Michael B. Monagan Exact Eigenvalue and Eigenvector
Computation in Maple . . . . . . . . . . 24--32
R. C. McPhedran and
D. H. Dawes and
Tony Scott On a Bessel Function Integral . . . . . 33--38
Jonathan M. Borwein and
Mark A. Limber Maple as a High Precision Calculator . . 39--44
Thomas Riedel and
Prasanna Sahoo Surfaces and Volumes of Revolution with
Maple . . . . . . . . . . . . . . . . . 45--51
David R. Guichard Counting Non-Isomorphic Graphs with
Maple . . . . . . . . . . . . . . . . . 52--56
L. J. Gray Hypersingular Integral Evaluation using
Maple . . . . . . . . . . . . . . . . . 57--60
Anonymous Guidelines for Authors . . . . . . . . . 61--61
Anonymous Acknowledgements . . . . . . . . . . . . 61--61
Tony Scott and
Darren Redfern A Note from the Editors . . . . . . . . 1--3
Anonymous News and Announcements . . . . . . . . . 4--11
Robert M. Corless and
Gaston H. Gonnet and
D. E. G. Hare and
David J. Jeffrey Lambert's $W$ Function in Maple . . . . 12--22
D. Gruntz and
M. Monagan Introduction to Gauss . . . . . . . . . 23--35
Dominik Gruntz Gröbner Bases in Gauss . . . . . . . . . 36--46
A. D. Rough and
J. Richardson Harmonic Analysis of Phase Controlled
Waveforms . . . . . . . . . . . . . . . 47--53
Jason Argent and
Tom Lee Engineering Applications of Maple V
Release 2: Analysis and Design of
Machines . . . . . . . . . . . . . . . . 54--61
Michael B. Monagan Using Computer Algebra to Help
Understand the Nature of Eigenvalues and
Eigenvectors . . . . . . . . . . . . . . 62--68
Michael O. Vahle Solving the Congruence $x^2 \equiv a
\bmod n$ . . . . . . . . . . . . . . . . 69--76
Anonymous Guidelines for Authors . . . . . . . . . 77--77
Anonymous Acknowledgements . . . . . . . . . . . . 78--78
Tony Scott and
Reid M. Pinchback A Note from the Editors . . . . . . . . 1--5
Anonymous News and Announcements . . . . . . . . . 6--9
Michael B. Monagan Tips for Maple Users . . . . . . . . . . 10--18
T. C. Scott and
Yehuda B. Band and
K. O. Geddes Recipes for Solving Broad Classes of
Definite Integrals and Applications . . 19--27
K. O. Geddes A Package for Numerical Approximation 28--36
Volker Strehl Binomial Sums and Identities . . . . . . 37--49
Ross Taylor and
Michael B. Monagan Thermodynamics with Maple: I, Equations
of State . . . . . . . . . . . . . . . . 50--59
Peter E. Kloeden and
William D. Scott Construction of Stochastic Numerical
Schemes through Maple . . . . . . . . . 60--65
Xavier Gourdon and
Bruno Salvy Computing one million digits of
$\sqrt(2)$ . . . . . . . . . . . . . . . 66--71
James V. Herod A Model for an HIV Infection . . . . . . 72--78
G. Pino Porciello and
Tom Lee Application of Maple in Optimal Control
Systems Design and Analysis . . . . . . 79--84
Dominik Gruntz Formula Manipulation using Maple . . . . 85--92
Anonymous Guidelines for Authors . . . . . . . . . 93--93
Anonymous Acknowledgements . . . . . . . . . . . . 94--94
Tony Scott and
Michael Monagan A Note from the Editors . . . . . . . . 1--1
Anonymous About the Articles and Their Authors . . 2--5
Andrew Granville and
Michael Monagan The Status of Fermat's Last Theorem ---
mid 1994 . . . . . . . . . . . . . . . . 6--9
Seth A. Greenblatt Wavelets in Econometrics . . . . . . . . 10--16
Geoff Russell Shotgun Wounding Characteristics . . . . 17--23
David Harper and
C. D. Murray Disturbing Function Expansions . . . . . 24--28
Bert Lisser Solving Kostant's Conjecture Using Maple 29--34
D. Würtz and
M. Monagan and
R. Peikert The History of Packing Circles in a
Square . . . . . . . . . . . . . . . . . 35--42
J. Carminati Application of Maple to General
Relativity . . . . . . . . . . . . . . . 43--48
Tony Scott and
Greg Fee and
Rob Corless and
Mike Monagan Applications of Maple to Mathematical,
Scientific, and Engineering Problems . . 49--57
Tony Scott and
Blair Madore and
Robert M. Corless Maple in Science Education . . . . . . . 58--68
James V. Herod and
Edward K. Yeagers Mathematics, Biology, and Maple . . . . 69--76
Robert J. Lopez A Saw-Toothed Oscillator: Exact and
Approximate Solutions . . . . . . . . . 77--81
Eugenio Roanes Lozano and
Eugenio Roanes Macias An Implementation of ``Turtle Graphics''
in Maple V . . . . . . . . . . . . . . . 82--85
Tony Scott and
Reid M. Pinchback A Note from the Editors . . . . . . . . 1--3
Anonymous News and Announcements . . . . . . . . . 4--6
Michael Monagan Maple V Release 3 . . . . . . . . . . . 7--13
Michael Monagan The Maple Share (Applications) Library 14--16
Michael B. Monagan Tips for Maple Users . . . . . . . . . . 17--23
Robert M. Corless and
Michael B. Monagan Simplification and the Assume Facility 24--31
Zaven A. Karian and
Rohit Goyal Random Number Generation and Testing . . 32--37
Paul Zimmermann Ga\"\ia: A Package for the Random
Generation of Combinatorial Structures 38--46
Nicola Pio Belfiore and
Ettore Pennestri and
Rosario Sinatra Kinematic and Power-Flow Analysis of
Epicyclic Gear Drives . . . . . . . . . 47--55
Johannes Grotendorst and
Paul Jansen and
Siegfried M. Schoberth On Solving the McConnell Equations in
Biochemistry . . . . . . . . . . . . . . 63--68
Christine W. U. Hoffmann Modeling Snow Transport, An Application
of Maple . . . . . . . . . . . . . . . . 69--78
Tony Scott and
Michael B. Monagan and
Richard Pavelle and
Darren Redfern Maple in Education --- Part II . . . . . 69--78
Robert J. Lopez A Separable Differential Equation: New
Insights . . . . . . . . . . . . . . . . 79--82
Ross Taylor Thermodynamics with Maple V II, Phase
Equilibria in Binary Systems . . . . . . 83--92
Anonymous Guidelines for Authors . . . . . . . . . 93--93
Anonymous Acknowledgements . . . . . . . . . . . . 94--94
Michael B. Monagan Tips for Maple Users . . . . . . . . . . 11--18
Dominik Gruntz Infinite Structures in Maple . . . . . . 19--30
David A. Pintur MathEdge: The Application Development
Toolkit for Maple . . . . . . . . . . . 31--38
Dieter Kraft Modeling and Simulating Robots in Maple 39--47
J. W. Stayman and
Mark H. Holmes Maple: as an Interface for Numerically
Solving Chemical Kinetic Equations . . . 48--54
Dennis Isbister Quantum Mechanics and Maple: The
rotation matrix functions
$d^l_{mn}(\beta)$, $3$-j and $6$-j
symbols . . . . . . . . . . . . . . . . 55--61
Richard Ditteon Using Maple in the Selection of Glasses
for Telescope Objectives . . . . . . . . 62--67
Steve A. Adams and
Ross Taylor Thermodynamics with Maple: III
Thermodynamic Property Relations and the
Maxwell Equations . . . . . . . . . . . 68--81
Shalom Feigelstock Isomers, Groups, and Combinatorics . . . 82--85
Jürgen Hausen Generating Problems in Linear Algebra 86
M. B. Monagan Tips for Maple Users and Programmers . . ??
G. Labahn Solving Linear Differential Equations in
Maple . . . . . . . . . . . . . . . . . ??
R. Pirastu Algorithms for Indefinite Summation of
Rational Functions in Maple . . . . . . ??
K. W. Ayotte Source Code Generation for Linear and
Non-linear Numerical Models using Maple ??
N. E. Abrouk and
R. J. Lopez Population Genetics: Estimation of
Distributions Through Systems of
Non-linear Differential Equations . . . ??
Z. Shung-Ren and
J. Grotendorst and
H. Halling Calculation of the Potential
Distribution for a Three-Layer Spherical
Volume Conductor . . . . . . . . . . . . ??
D. B. Meade Numerical, Graphical and Symbolic
Analysis of Bernoulli Equations . . . . ??
P. Mohseni EM Field Modeling using Maple . . . . . ??
P. W. Hammer Identification of Diffusion Coefficients
in the Heat Equation using Maple . . . . ??
M. B. Monagan The Maple V Release 4 Math Engine . . . ??
M. B. Monagan Tips for Maple Users and Programmers . . ??
D. Gruntz and
W. Koepf Maple Package on Formal Power Series . . ??
E. S. Cheb-Terrab and
K. von Bülow A Maple 5.3 Package for the Analytical
Solving of Partial Differential
Equations . . . . . . . . . . . . . . . ??
A. Bottreau and
A. Di Bucchianico and
D. Loeb Implementation of an Umbral Calculus
Package . . . . . . . . . . . . . . . . ??
L. Gonzalez-Vega and
L. Ceballos Manipulation of Real Roots of
Polynomials: Isolating Intervals or
Thom's Codes . . . . . . . . . . . . . . ??
K. Briggs Formal Power Series Solution of
Functional Equations . . . . . . . . . . ??
A. H. Fariborz A Form Factor Evaluation in Heavy Meson
Decay . . . . . . . . . . . . . . . . . ??
S. R. Czapor Maple and Exact Solutions of Einstein's
Equations . . . . . . . . . . . . . . . ??
P. Dumas and
B. Salvy Maple and the Putnam Competition . . . . ??
J. Hausen Generating Problems in Linear Algebra II ??
W. C. Bauldry and
H. P. Hirst Investigating Eigensystems in an
Introductory Linear Algebra Course . . . ??
R. M. Corless Simple Engineering Mathematics with
Maple . . . . . . . . . . . . . . . . . ??
T. Lee Maple V Release 4: New Features for
Engineers and Scientists . . . . . . . . ??
P. Capolsini and
C. Gomez MacroC and Macrofort: C and Fortran Code
Generation within Maple . . . . . . . . ??
J. B. Layton and
J. H. Kane Integrating MathEdge with Multimedia for
Instruction in Engineering . . . . . . . ??
J. Riel Syrup --- A Symbolic Circuit Analyzer ??
F. Heinle and
R. Reng and
G. Runze Symbolic Analysis of Multirate Systems ??
J.-C. Piedboeuf Modelling Flexible Robots with Maple . . ??
J. McPhee and
C. Wells Automated Symbolic Analysis of
Mechanical System Dynamics . . . . . . . ??
O. E. Ruiz S. and
P. M. Ferreira Using Gröbner Bases in Kinematic Analysis
of Mechanisms . . . . . . . . . . . . . ??
C. Mulcahy The Basic Curves and Surfaces of
Computer Aided Geometric Design . . . . ??
E. Pennestri and
V. Falasca Design of Cam Mechanisms Using Maple . . ??
G. Bohoris and
P. A. Kostagiolas Weibull Probability Plot and Maximum
Likelihood Estimation of its Parameters ??
D. Meade and
B. Haran and
R. White The Shooting Technique for the Solution
of Two-point Boundary Value Problems . . ??
A. Ogunye Process Control and Symbolic
Computation: An Overview with Maple V ??
R. M. Pinchback Maple and the World Wide Web . . . . . . ??
C. Howlett and
T. Tyhurst The Maple V Release 4 Graphical User
Interface . . . . . . . . . . . . . . . ??
W. Koepf Summation in Maple . . . . . . . . . . . ??
E. Mansfield The Differential Algebra Package:
diffgrob2 . . . . . . . . . . . . . . . ??
S. Cyganowski Solving Stochastic Differential
Equations with MAPLE . . . . . . . . . . ??
R. Ditteon Solving the Aberration and Power
Equations for the Cooke Triplet Lens . . ??
D. Schwalbe and
H. Kooijman and
R. Taylor Solving Stiff Differential Equations and
Differential Algebraic Systems with
Maple V . . . . . . . . . . . . . . . . ??
R. Lopez Tips for Maple Instructors . . . . . . . ??
R. Taylor Thermodynamics with Maple: IV, The
Properties of Steam . . . . . . . . . . ??
M. Rybowicz and
J.-P. Massia Teaching Maple to Engineering Students ??
Jon Borwein and
Michael Monagan A Note from the Editors: Winter 1997,
Vol. 4, No. 1 . . . . . . . . . . . . . 1--1
Heinz H. Bauschke and
Robert M. Corless Analyzing a Projection Method with Maple 2--7
Patricio V. Poblete and
Alfredo Viola and
J. Ian Munro Analyzing the LCFS Linear Probing
Hashing Algorithm with the Help of Maple 8--13
Dominik Gruntz Automatic Differentiation and Bisection 14--19
Jonathan A. Borwein and
Petr Lisonek and
John A. Macdonald Arithmetic-Geometric Means Revisited . . 20--27
Andrea Sacchetti Band functions for the Lamé equation . . 28--33
Guy Melançon Factorizing infinite words using Maple 34--42
D. Krob and
A. Lascoux and
B. Leclerc and
J.-Y. Thibon and
B. C. V. Ung and
S. Veigneau Algebraic Combinatorics with MAPLE and
ACE . . . . . . . . . . . . . . . . . . 43--50
Burkhard Wald The Semigroup of Unary Pairfunctions,
Verification of the Group Relations . . 51--54
Jonathan Borwein and
Michael Monagan Differential Equations in Maple: A Short
Tutorial . . . . . . . . . . . . . . . . 55--58
Carollyne Guidera and
Michael Monagan Teaching Introductory Differential
Equations with Maple . . . . . . . . . . 59--67
Douglas B. Meade Mple and the Parachute Problem; Modeling
with an Impact . . . . . . . . . . . . . 68--76
K. Promislow Applications of Center Manifolds . . . . 77--87
Jan Calpaert and
Douglas Curran A Hopf Bifurcation in a Model of a
National Economy . . . . . . . . . . . . 88--91
Shannon Holland and
Matthias Kawski 3D-graphics for iterated integrals . . . 92--98
Antonio Giraldo One-dimensional dynamical systems.
Dynamical simulations of the transition
to Chaos . . . . . . . . . . . . . . . . 99--104
D. A. Aruliah Visualizing the Frenet-Serret equations 105--110
Tony Scott Guidelines for Authors . . . . . . . . . 111--111
James Herod and
Michael Monagan A Note from the Editors: Vol, 4, No. 2,
1997: Maple in the Physical Sciences . . 1--1
L. Gammaitoni and
M. C. Nucci Using Maple to Analyze a Model for
Airborne Contagion . . . . . . . . . . . 2--5
C. J. H. Elliott and
J. S. Robinson Modeling the Rhythmically Active Neuron
R15 of the Mollusc Aplysia using Maple
and NAG . . . . . . . . . . . . . . . . 6--14
T. C. Scott and
I. P. Grant and
M. B. Monagan and
V. R. Saunders Generation of Optimized FORTRAN Code for
Molecular Integrals of Gaussian-Type
Functions . . . . . . . . . . . . . . . 15--24
Bernd Eberhart and
Andreas Weber Modeling the Draping Behavior of Woven
Cloth . . . . . . . . . . . . . . . . . 25--31
Sophie Jégou Using Maple for Symbolic Differentiation
to Solve Inverse Problems . . . . . . . 32--40
Rainer Bacher Combining Symbolic and Numeric Tools for
Power System Network Optimization . . . 41--51
Marc A. Murison Analytical Study of Optical Wavefront
Aberrations Using Maple . . . . . . . . 52--62
T. C. Scott and
M. Trippenbach and
Y. B. Band An Application of Maple to Near-Field
Optics . . . . . . . . . . . . . . . . . 63--71
James V. Herod Tutorial: Solving Differential Equations
Using Maple . . . . . . . . . . . . . . 72--77
Heather Agler and
Aaron Ahearn and
Anne Kitchell and
Nicole Lopanik and
Heather Miller and
Matthew Miller and
David S. Wethey Resource Competition in Algae: A Class
Project in Mathematical Biology . . . . 78--85
Reza Shahidi A Short Note on Trees, Foxes and Maple 86--92
Richard H. Enns and
George C. McGuire Nonlinear Physics with Maple for
Scientists and Engineers . . . . . . . . 93--99
J. F. Ogilvie and
M. B. Monagan Symbolic Computation in Molecular
Spectroscopy . . . . . . . . . . . . . . 100--108
Tony Scott Guidelines for Authors . . . . . . . . . 109--109
Ayowale B. Ogunye and
Tom Casselman A note from the Editors . . . . . . . . 1--2
Christina Richardson and
Susan Sopher and
Robert Petak and
Andreas Linninger Conceptual Process Design using Symbolic
and Numerical Computing Techniques . . . 3--14
Lee R. Partin Combinatorial Analysis Application for
Flowsheet Synthesis of Chemical Plants 15--26
Kiew M. Kam and
Moses O. Tadé and
Benjamin L. C. To Implementation of \sc Maple Procedures
for Simulating an Industrial Multi-stage
Evaporator . . . . . . . . . . . . . . . 27--39
Burkhard Alpers and
Stephan Steeb Flexible Mechanical Engineering
Guidelines --- A Maple-based Tool for
Cam Design . . . . . . . . . . . . . . . 40--48
Carlo Brutti and
Ettori Pennestr\`\i and
Fabrizio Urbinati Kinematic Analysis of Spatial Mechanisms
by Means of Maple . . . . . . . . . . . 49--57
John M. Stockie The Geometry of Intersecting Tubes
Applied to Controlling a Robotic Welding
Torch . . . . . . . . . . . . . . . . . 58--66
K. H. Low Symbolic Frequency Analysis of Vibratory
Systems by the Optimized Rayleigh Method 67--75
John S. Miller and
Michael J. Demetsky Transportation Planning Applications:
Using Maple for Exploratory Analysis . . 76--84
Ayowale Ogunye Solution of Discrete-Time Symmetric
Matrix Diophantine Equations using Maple
V . . . . . . . . . . . . . . . . . . . 85--94
Anders Lennartsson On the Generation of Code for the
Solution of Differential Equations . . . 95--101
Oleg V. Nagornov and
Nancy E. Quaranta and
Marta G. Caligaris and
Georgina B. Rodriguez and
Robert E. Caligaris Propagation of Air Pollution in Urban
Areas . . . . . . . . . . . . . . . . . 102--106
M. B. Monagan and
M. A. Slawinski The Sensitivity of Traveltime Inversion
for an Anisotropic Parameter in
Seismology . . . . . . . . . . . . . . . 107--116