Overview
- Familiarizes the reader with symbolic mathematics functions in Mathematica for algebra, analysis, as well as orthogonal polynomials and mathematical physics and shows how to use them effectively
- Detailed discussions of the most frequent symbolic operations: equation solving, differentiation, series expansion, integration and organizing and performing symbolic calculations in mathematica, as compared to paper-and-pencil
- Numerous examples from mathematics, physics and computer graphics
- Clear organization, complete topic coverage, and an accessible exposition for both novices and experts
- Website for book with additional materials: www/MathematicaGuideBooks.org
- Accompanying DVD contains all material in the form of hyperlinked Mathematica notebooks that can be edited and manipulated; striking color graphics and animations are included on the DVD
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Table of contents (3 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Mathematica is today's most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive easy-to-handle environment of great power and utility.
"The Mathematica GuideBook for Symbolics" (code and text fully tailored for Mathematica 5.1) deals with Mathematica's symbolic mathematical capabilities. Structural and mathematical operations on single and systems of polynomials are fundamental to many symbolic calculations and they are covered in considerable detail. The solution of equations and differential equations, as well as the classical calculus operations (differentiation, integration, summation, series expansion, limits) are exhaustively treated. Generalized functions and their uses are discussed. In addition, this volume discusses and employs the classical orthogonal polynomials and special functions of mathematical physics. To demonstrate the symbolic mathematics power, a large variety of problems from mathematics and phyics are discussed.
Reviews
From the reviews:
"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. … Every chapter has numerous exercises with full solutions. Every computer science, mathematics, physics, engineering library should have this … on its shelves, because this is the best source of the applications of Mathematica to numerous computational tasks." (Matti Vuorinen, Zentralblatt MATH, Vol. 1095 (21), 2006)
"This guidebook has three chapters. … I enjoyed reading the symbolics Guidebook. … take the reader on a thrilling tour of the features of Mathematica. I am impressed with the breadth and depth of Trott’s coverage and his profound understanding of the strengths and limitations of Mathematica. … includes a multiplatform DVD-ROM which allows the reader to experiment with code and view graphics in color. … an invaluable resource and classic referencefor scientists who use Mathematica in teaching or research." (Willy Hereman, SIAM Review, Vol. 49 (1), 2007)
Authors and Affiliations
Bibliographic Information
Book Title: The Mathematica GuideBook for Symbolics
Authors: Michael Trott
DOI: https://doi.org/10.1007/0-387-28815-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2006
Hardcover ISBN: 978-0-387-95020-4
Softcover ISBN: 978-1-4939-7914-1
eBook ISBN: 978-0-387-28815-4
Edition Number: 1
Number of Pages: LV, 1454
Topics: Mathematical Software, Symbolic and Algebraic Manipulation, Computational Science and Engineering, Algorithms