The Mathematica Guidebook for Numerics [With Dvdrom]

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 with Mathematica 5.1) concentrates on Mathematica's numerical mathematics capabilities. The arithmetic types (machine-, significance-, high-precision-, and interval arithmetic) are carefully analyzed. 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 about machine numbers, significance of high-precision numbers and intervals with advantages and disadvantagesPresents 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 physicsClear organization, complete topic coverage, and an 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 currently features more that 85,000 formulas and identities, 10,000 visualizations and allows for semantical searches for identities.