Mathematica GuideBook for Numerics (eBook)

Michael Trott (Autor)

eBook Download: PDF

2006 | 2006
XXXVI, 1208 Seiten
Springer New York (Verlag)
978-0-387-28814-7 (ISBN)

Infos

Provides the reader with working knowledge of Mathematica and key aspects of Mathematica's numerical capabilities needed to deal with virtually any 'real life' problem

Clear organization, complete topic coverage, and an accessible writing style for both novices and experts

Website for book with additional materials: http://www.MathematicaGuideBooks.org

Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations

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Mathematica is today's most advanced technical computing system, featuring 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 Numerics (text and code fully tailored for Mathematica 5.1) concentrates on Mathematica's numerical mathematics capabilities. The available types of arithmetic (machine, high-precision, and interval) are introduced, discussed, and put to use. Fundamental numerical operations, such as compiling programs, fast Fourier transforms, minimization, numerical solution of equations, ordinary/partial differential equations are analyzed in detail and are applied to a large number of examples in the main text and solutions to the exercises.Unique Features:Detailed exposition of advantages and disadvantages of machine numbers, significance high-precision numbers and intervals Presents numerous examples of  the efficient and optimized use of Mathematica's functions for root finding, numerical minimization, numerical integration, and differential equation solving, and examples from mathematics and physicsClear organization, complete topic coverage, and accessible exposition for both novices and expertsWebsite for book with additional materials and updates: http://www.MathematicaGuideBooks.orgAccompanying 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 DVDMichael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading the development of the Wolfram Functions Site http://functions.wolfram.com, which features more that 10,000 visualizations and 85,000 formulas and identities,and also allows for semantical searches.

Inhalt

Introduction and Orientation
I. Numerical Computations: Remarks.- Approximate Numbers.- Fitting and Interpolating Functions.- Compiled Programs.- Linear Algebra.- Fourier Transforms.- Numerical Functions and Their Options.- Sums and Products.- Integration.- Solution of Equations.- Minimization.- Solution of Differential Equations.- Two Applications.- Overview.-Exercises.- References.- II. Computation with Exact Numbers: Remarks.- Divisors and Multiples.- Number Theory Functions.- Combinatorial Functions.- Euler, Bernoulli, and Fibonacci Numbers.- Overview.- Exercises.-  References.- Index

Produkt-Details

• Erscheint lt. Verlag: 27.10.2006
• Zusatzinfo: XXXVI, 1208 p. 789 illus.
• Verlagsort: New York
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Programmiersprachen / -werkzeuge
• Themenwelt: Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Technik
• Schlagworte: algorithms • Computer • Computer Graphics • differential equation • Fourier transform • Mathematica • Number Theory • Numerical Integration • Numerics • programming • Visualization
• ISBN-10: 0-387-28814-7 / 0387288147
• ISBN-13: 978-0-387-28814-7 / 9780387288147