Valid HTML 4.0! Valid CSS!
%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.01",
%%%     date            = "05 February 2021",
%%%     time            = "15:09:24 MST",
%%%     filename        = "numana2020.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        = "04183 284 1264 13301",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; numerical analysis",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This bibliography collects publications
%%%                        in the large field of numerical analysis
%%%                        from books and conference proceedings, but
%%%                        excluding journal articles, which are covered
%%%                        in separate bibliographies in the TeX User
%%%                        Group archive.
%%%
%%%                        This file includes publications for the
%%%                        decade 2020--2029.
%%%
%%%                        At version 1.01, the year coverage looked
%%%                        like this:
%%%
%%%                             2020 (   2)
%%%
%%%                             Book:             2
%%%
%%%                             Total entries:    2
%%%
%%%                        In this bibliography, entries are sorted
%%%                        first by ascending year, and within each
%%%                        year, alphabetically by author or editor,
%%%                        and then, if necessary, by the 3-letter
%%%                        abbreviation at the end of the BibTeX
%%%                        citation tag, using the bibsort -byyear
%%%                        utility.  Year order has been chosen to
%%%                        make it easier to identify the most recent
%%%                        work.
%%%
%%%                        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{
    "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" #
    "\ifx \undefined \k         \let \k = \c \fi" #
    "\ifx \undefined \circled   \def \circled #1{(#1)}\fi" #
    "\ifx \undefined \reg       \def \reg {\circled{R}}\fi"
}

%%%=====================================================================
%%% Acknowledgement abbreviations:
@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/|"}

%%%=====================================================================
%%% Journal abbreviations:
@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-HIST-MATH             = "Historia Mathematica"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

%%%=====================================================================
%%% Publishers and their addresses:
@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-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@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-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, 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-DOVER               = "Dover"}
@String{pub-DOVER:adr           = "New York, NY, USA"}

@String{pub-ELSEVIER-ACADEMIC   = "Elsevier Academic Press"}
@String{pub-ELSEVIER-ACADEMIC:adr = "Amsterdam, The Netherlands"}

@String{pub-GRUYTER             = "Walter de Gruyter"}
@String{pub-GRUYTER:adr         = "New York"}

@String{pub-JOHNS-HOPKINS       = "The Johns Hopkins University Press"}
@String{pub-JOHNS-HOPKINS:adr   = "Baltimore, MD, USA"}

@String{pub-KNOPF               = "Alfred A. Knopf"}
@String{pub-KNOPF:adr           = "New York, NY, USA"}

@String{pub-OLDENBOURG          = "R. Oldenbourg"}
@String{pub-OLDENBOURG:adr      = "M{\"u}nchen, Germany"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-PACKT               = "Packt Publishing"}
@String{pub-PACKT:adr           = "Birmingham, UK"}

@String{pub-PH                  = "Pren{\-}tice-Hall"}
@String{pub-PH:adr              = "Upper Saddle River, NJ 07458, USA"}

@String{pub-PRINCETON           = "Princeton University Press"}
@String{pub-PRINCETON:adr       = "Princeton, NJ, USA"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg, Germany~/
                                   London, UK~/ etc."}

@String{pub-WILEY               = "Wiley"}
@String{pub-WILEY:adr           = "New York, NY, USA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing Co."}
@String{pub-WORLD-SCI:adr       = "Singapore; Philadelphia, PA, USA; River
                                   Edge, NJ, USA"}

%%% ====================================================================
%%% Series abbreviations:
@String{ser-LECT-NOTES-MATH     = "Lecture Notes in Mathematics"}

@String{ser-LNAI                = "Lecture Notes in Artificial Intelligence"}

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

@String{ser-LNCSE               = "Lecture Notes in Computational
                                   Science and Engineering"}

%%%=====================================================================
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with `bibsort -byyear':
@Book{Blum:2020:FDS,
  author =       "Avrim Blum and John Hopcroft and Ravi Kannan",
  title =        "Foundations of Data Science",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "viii + 424",
  year =         "2020",
  ISBN =         "1-108-48506-5 (hardcover), 1-108-75552-6 (e-book)",
  ISBN-13 =      "978-1-108-48506-7 (hardcover), 978-1-108-75552-8
                 (e-book)",
  LCCN =         "QA76 .B5675 2020",
  bibdate =      "Tue Mar 17 08:01:49 MDT 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/tex/bib/master.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2020.bib",
  abstract =     "This book provides an introduction to the mathematical
                 and algorithmic foundations of data science, including
                 machine learning, high-dimensional geometry, and
                 analysis of large networks. Topics include the
                 counterintuitive nature of data in high dimensions,
                 important linear algebraic techniques such as singular
                 value decomposition, the theory of random walks and
                 Markov chains, the fundamentals of and important
                 algorithms for machine learning, algorithms and
                 analysis for clustering, probabilistic models for large
                 networks, representation learning including topic
                 modelling and non-negative matrix factorization,
                 wavelets and compressed sensing. Important
                 probabilistic techniques are developed including the
                 law of large numbers, tail inequalities, analysis of
                 random projections, generalization guarantees in
                 machine learning, and moment methods for analysis of
                 phase transitions in large random graphs. Additionally,
                 important structural and complexity measures are
                 discussed such as matrix norms and VC-dimension. This
                 book is suitable for both undergraduate and graduate
                 courses in the design and analysis of algorithms for
                 data.",
  acknowledgement = ack-nhfb,
  libnote =      "Not in my library.",
}

@Book{Pence:2020:EMEd,
  author =       "T. J. (Thomas J.) Pence and I. S. (Indrek S.)
                 Wichman",
  title =        "Essential Mathematics for Engineers and Scientists",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xix + 736",
  year =         "2020",
  ISBN =         "1-108-67135-7",
  ISBN-13 =      "978-1-108-42544-5 (hardcover), 978-1-108-67135-4
                 (e-book)",
  LCCN =         "QA37.3 .P46 2020",
  bibdate =      "Mon Aug 31 07:04:32 MDT 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat",
  abstract =     "This text is geared toward students who have an
                 undergraduate degree or extensive coursework in
                 engineering or the physical sciences and who wish to
                 develop their understanding of the essential topics of
                 applied mathematics. The methods covered in the
                 chapters form the core of analysis in engineering and
                 the physical sciences. Readers will learn the
                 solutions, techniques, and approaches that they will
                 use as academic researchers or industrial R and D
                 specialists. For example, they will be able to
                 understand the fundamentals behind the various
                 scientific software packages that are used to solve
                 technical problems (such as the equations describing
                 the solid mechanics of complex structures or the fluid
                 mechanics of short-term weather prediction and
                 long-term climate change), which is crucial to working
                 with such codes successfully. Detailed and numerous
                 worked problems help to ensure a clear and well-paced
                 introduction to applied mathematics. Computational
                 challenge problems at the end of each chapter provide
                 students with the opportunity for hands-on learning and
                 help to ensure mastery of the concepts. Adaptable to
                 one- and two-semester courses.",
  acknowledgement = ack-nhfb,
  subject =      "Mathematics; Mathematical analysis; Engineering
                 mathematics; Science; Engineering mathematics.;
                 Mathematical analysis.; Mathematics.",
  tableofcontents = "Linear algebra and finite dimensional vector spaces
                 \\
                 Linear transformations \\
                 Application to systems of equations \\
                 The spectrum of eigenvalues \\
                 Complex variables: basic concepts \\
                 Analytic functions of a complex variable \\
                 The Cauchy integral theorems \\
                 Series expansions and contour integration \\
                 Linear partial differential equations \\
                 Linear ordinary differential equations \\
                 Green's functions for ordinary differential equations
                 \\
                 Poisson's equation and Green's functions \\
                 Combined Green's function and eigenfunction methods",
}