The Mathematica GuideBook for Numerics
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Beschreibung
The Mathematica GuideBook for Numerics (text and code fully tailored with Mathematica 5.1) is the third volume of the Mathematica GuideBooks, a comprehensive and detailed print and electronic reference for Mathematica. It introduces the reader to Mathematica's various approximate numbers, their arithmetic and the most common numerical analysis operations such as numerical integration, root-finding, equation solving, minimization, and differential equation solving. It includes thousands of visualizations of concepts, algorithms, results and more than 200 fully worked non-trivial examples from mathematics and physics. The accompanying DVD contains all material in the form of hyperlinked and editable Mathematica notebooks fully tailored for Mathematica 5.1. An indispensable resource for practitioners, professionals, and researchers in mathematics, computer science, engineering and other scientific disciplines, The Mathematica GuideBook for Numerics 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.
Detailed exposition about machine numbers, significance of high-precision numbers and intervals with advantages and disadvantages Presents numerous examples of the efficient and optimized use of Mathematica's functions for root finding, numerical minimization, numerical integration, and differential equation solving with examples from mathematics and physics Clear organization, complete topic coverage, and an accessible exposition for both novices and experts Website for book with additional materials and updates: 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 Numerics«
Fourier transform Mathematica Numerical integration algorithms computer computer graphics differential equation number theory numerics programming visualization
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From the reviews:
"The numerics volume has two chapters. … offer a treasure trove of identities and formulas. … 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 reference for scientists who use Mathematica in teaching or research." (Willy Hereman, SIAM Review, Vol. 49 (1), 2007)
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