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The mathematica guidebook for numerics / Michael Trott.

Ebook Central Academic Complete Available online

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Format:
Book
Author/Creator:
Trott, Michael, Ph. D.
Language:
English
Subjects (All):
Algebra--Data processing.
Algebra.
Mathematica (Computer file).
Physical Description:
1 online resource (1243 p.)
Edition:
1st ed. 2006.
Place of Publication:
New York, NY : Springer, c2006.
Language Note:
English
Summary:
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.
Contents:
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
Index.
Notes:
Description based upon print version of record.
ISBN:
1-280-65636-0
9786610656363
0-387-28814-7
OCLC:
262687502

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