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© 2006

The Mathematica GuideBook for Numerics

  • 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

Book

Table of contents

  1. Front Matter
    Pages i-xxxv
  2. Michael Trott
    Pages 1-967
  3. Michael Trott
    Pages 968-1189
  4. Back Matter
    Pages 1191-1208

About this book

Introduction

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.

Keywords

Fourier transform Mathematica Numerical integration algorithms computer computer graphics differential equation number theory numerics programming visualization

Authors and affiliations

  1. 1.Wolfram ResearchChampaign

Bibliographic information

Reviews

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)