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The Mathematica guidebook for symbolics. With DVD. (English) Zbl 1095.68001
New York, NY: Springer (ISBN 0-387-95020-6/hbk). xxxviii, 1453 p. (2006).
The author has written a series of four independent books about the Mathematica programming language [The Mathematica guidebook for programming (2004; Zbl 1080.68117), The Mathematica guidebook for graphics (2004; Zbl 1059.68163), The Mathematica guidebook for numerics (2006; Zbl 1101.65001)]. The individual volumes of this series are encyclopedic treatments of their respective topics. The present volume deals with symbolic computation and has three chapters: 1. Symbolic computations, 2. Classical orthogonal polynomials, 3. Classical special functions.
The book is filled with Mathematica programming gems and is particularly valuable for researchers using special functions in their work because of extensive coverage of these topics. Some of the topics are highly advanced, and for instance the symbolic solution of Ramanujan’s modular equations is considered. Every chapter has numerous exercises with full solutions.
Every computer science, mathematics, physics, engineering library should have this four volume set on its shelves, because this is the best source of the applications of Mathematica to numerous computational tasks.

68-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to computer science
68W30 Symbolic computation and algebraic computation
33F10 Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.)
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