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Zbl 0924.68102
Wester, Michael J. (ed.)
Computer algebra systems. A practical guide. (English)
[B] Chichester: Wiley. xvi, 436 p. \sterling 65.00 (1999). ISBN 0-471-98353-5

In this book some of the most popular general purpose computer algebra systems (CAS), such as Mathematica, Maple, Derive, Axiom, MuPAD, and Macsyma, are examined. The strengths and weaknesses of these programs are compared and contrasted, and tutorial information for using these systems in various ways is given. The different packages are quantitatively compared using standard test suites, giving the possibility to asses the most appropriate for a particular user or application. The origins of these systems are revealed and many of their behaviors analyzed. This furnishes a feel for where the current computer algebra system state of the art stays and what can be expected for existing and future systems. The book is organized in several chapters written by different authors. Chapters 1,2, and 3 are organized as reviews, comparisons, and critiques of CAS capabilities. Then more technical issues are discussed considering different approaches taken by different CAS: simplifying square roots of square roots by denesting (chapter 4), complex number calculation (chapter 5), efficiently computing Chebyshev polynomials (chapter 6), solving single equations and systems of polynomial equations (chapters 7, 8), computing limits (chapter 9), multiple integration (chapter 10), solving ordinary differential equation (chapter 11), integration of nonlinear evolution equations (chapter 12), code generation (chapter 13), evaluation of expressions and programs in the embedded computer algebra programming language (chapter 14), and computer algebra in education (chapter 15). Chapter 16 covers the origin of CA, and, finally chapter 17 gives a list of most CAS available today.
[Giovanni Cesari (Zürich)]

MSC 2000:: *68W30 Symbolic computation and algebraic computation
00B15 Collections of articles of miscellaneous specific interest
68-06 Proceedings of conferences (computer science)

Keywords: Computer algebra systems; Computer Algebra Systems; Mathematica; Maple; Derive; Axiom; MuPAD; Macsyma

Cited in: Zbl 1070.65001 Zbl 1017.68162 Zbl 0974.68251

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