The Mathematica GuideBook for Numerics

Description

ISBN: 0387950117
Title: The Mathematica GuideBook for Numerics
Author: Michael Trott
Publisher: Springer
Publication Date: 2005-10-12
Number Of Pages: 1208

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 physics

Clear organization, complete topic coverage, and accessible exposition for both novices and experts

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