Description

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This book 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 solutions of equations, and ordinary/partial differential equations, are analyzed in detail and are applied to a large number of examples in the main text and in the solutions to the exercises.

Unique features:

• Detailed exposition of advantages and disadvantages of machine numbers, significance high-precision numerics, 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 physics
• Clear organization, complete topic coverage, and accessible exposition for both novices and experts
• Website for book with additional materials and updates: http://www.mathematicaguidebooks.org
• Accompanying DVD containing all material in the form of hyperlinked Mathematica notebooks that can be edited and manipulated, with striking color graphics and animations

Contents

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Numerical Computations | Computations with Exact Numbers Additional Resources

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http://www.MathematicaGuideBooks.org Related Topics

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Applied Mathematics, Graphics, Number Theory, Tutorial and Reference