# Contents of Computer Algebra Systems: A Practical Guide

Edited by Michael J. Wester

(John Wiley & Sons,
Chichester, United Kingdom, ISBN 0-471-98353-5, xvi+436 pages, 1999)

- Preface
- List of Contributors
- 1. Symbolic Math Powerhouses Revisited
- Barry Simon
- 2. Symbolic Magic
- Barry Simon
- 3. A Critique of the Mathematical Abilities of CA Systems
- Michael Wester
- 4. Simplifying Square Roots of Square Roots by Denesting
- David J. Jeffrey and Albert D. Rich
- 5. Can Your Computer Do Complex Analysis?
- Helmer Aslaksen
- 6. Efficient Computation of Chebyshev Polynomials in Computer Algebra
- Wolfram Koepf
- 7. A Review of Symbolic Solvers
- Laurent Bernardin
- 8. About the Polynomial System Solve Facility of Axiom, Macsyma, Maple,
Mathematica, MuPAD, and Reduce
- Hans-Gert Gräbe
- 9. Computing Limits in Computer Algebra Systems
- Dominik Gruntz
- 10. Let's Do Some Analysis
- Stanly Steinberg
- 11. Solving Ordinary Differential Equations
- Frank Postel and Paul Zimmermann
- 12. Integrability Tests for Nonlinear Evolution Equations
- Willy Hereman and Ünal Göktas
- 13. Code Generation Using Computer Algebra Systems
- John K. Prentice and Michael Wester
- 14. Symbolic Mathematics System Evaluators
- Richard J. Fateman
- 15. Computer Algebra in Mathematics Education
- Bill Pletsch
- 16. On Lovelace, Babbage and the Origins of Computer Algebra
- Peter J. Larcombe
- 17. Computer Algebra Systems
- Paulo Ney de Souza
- A. Major General Purpose CASs
- B. Resources
- C. Computer Algebra Synonyms
- References
- Biographies of Contributors
- Epilogue
- Index

### A short description of the book:

Computer Algebra Systems: A Practical Guide examines the currently available
computer algebra (symbolic mathematical) systems with special emphasis on the
general purpose packages. The strengths and weaknesses of these programs are
compared and contrasted, tutorial information for using these systems in
various ways is given, and background on their history and some of the ideas
behind them as well as an overview of what systems actually exist is provided.
This allows the experienced user to make an informed decision on which
system(s) he or she might like to use. It also allows a user new to computer
algebra to form an idea of where to begin. This book will be useful to
scientists, engineers, educators, students and anyone else interested in the
exact solution of mathematical problems by computer.
17 chapters and 3 appendices have been written by 19 different authors located
worldwide, overviewing both the general and the special purpose systems, and
discussing issues such as denesting nested roots, complex number calculations,
efficiently computing special polynomials, solving single equations and systems
of polynomial equations, computing limits, multiple integration, solving
ordinary differential and nonlinear evolution equations, code generation,
evaluation and computer algebra in education. Historical origins, computer
algebra resources and equivalents for many common operations in 7 major
packages are also covered.

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