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Mathematica, a celebrated modern language for doing mathematics symbolically and numerically, is equally powerful as a scientific tool. Taking a broad perspective, the author gives readers a clear sense of how Mathematica can be used in a number of fields. His examples are drawn from physics, biology, chemistry, mathematics, and engineering. While seeing the potential for this tool, readers will also learn how to rediscover the great relations and theorems from the annals of science. This is a book for anyone who wishes to explore the wonders of science with the power of Mathematica.

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CHOICE Review

Crandall has been applying computer technology to the teaching of science for more than 20 years. His work is not on how to program in Mathematica; rather, it has wide-ranging, completely solved, nontrivial examples from mathematics and science, where both the Mathematica code and the tabular and/or graphic output are given. The reader should be familiar with the structure of Mathematica; this can be accomplished from the user's manual or Stephen Wolfram's Mathematica: A System for Doing Mathematics (1988). Some of the examples given are Pollard's "rho" factorization, Lucas-Lehmer method, classical and quantum mechanics, relativity, linear oscillations, solitons, chaos and fractals, chemical reactions, quantum chemistry, Hodgkin-Huxley equations, electronic circuit design, and fast Fourier transforms. Each section provides a list of thought-provokers for further study. The final chapter contains a series of historical unsolved or partially solved problems. Other texts that cover similar material are I. Vardi's Mathematica Recreations (1990); R.E. Meader's Programming in Mathematica (1989; 2nd ed., 1991); S. Wagon, Mathematica in Action (1991); and T.W. Gray's Exploring Mathematics with Mathematica (1991). Excellent illustrations; plentiful recent references; readable writing style; good index. Undergraduates and up.-J. C. Biddle, University of Louisville