The Mathematica GuideBook for Symbolics
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Beschreibung
The Mathematica GuideBook for Symbolics (text and code fully tailored with Mathematica 5.1) is the fourth volume of the Mathematica GuideBooks, a comprehensive and detailed print and electronic reference for Mathematica. It introduces the reader to symbolic computations using Mathematica and enables readers to understand, perform, and optimize sophisticated symbolic computations. It includes detailed discussions of the most frequent symbolic operations such as equation solving, differentiation, series expansion, and integration with more than 200 fully worked examples from physics, mathematics and computer graphics. Functions from algebra and analysis, as well as orthogonal polynomials and special functions of mathematical physics are also discussed. An indispensable resource for practitioners, professionals, and researchers in mathematics, computer science, engineering and other scientific disciplines, The Mathematica GuideBook for Symbolics will find a natural place on the bookshelf as an essential reference work. The Guidebooks in general give the user a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The four GuideBooks contain about 25,000 Mathematica inputs, representing more that 75,000 lines of commented Mathematica code. They also have more than 4,500 graphics, 150 animations, 11,000 references and 1,000 exercises.
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
Autor*in
Michael Trott
Themen in »The Mathematica GuideBook for Symbolics«
Animation Mathematica algorithms calculus computer computer graphics computer science differential equation programming visualization
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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)
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