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More About This Textbook
Overview
Introducing a comprehensive book and CD-ROM for visualizing and computing special functions
Here is an invaluable reference and learning guide to more than 150 special functions of applied mathematics, statistics, physics, chemistry, computer science, and engineering. The Atlas contains over 700 graphics of the functions, which readers can also create by using the annotated Mathematica files provided. It offers complete, consistent instructions and test values for computing the functions accurately and efficiently with the full ANSI C source programs on the CD-ROM, which is both Windows and Macintosh compatible.
With extensive references and indexing, this integrated package is superbly designed and easy to use-ideal for anyone who works with special functions. Contents include:
* Elementary Transcendental Functions
* Exponential Integrals and Related Functions
* Gamma and Beta Functions
* Combinatorial Functions
* Number Theory Functions
* Probability Distributions
* Error Function, Fresnel, and Dawson Integrals
* Orthogonal Polynomials
* Legendre Functions
* Spheroidal Wave Functions
* Bessel Functions
* Struve, Anger, and Weber Functions
* Hypergeometric Functions and Coulomb Wave Functions
* Elliptic Integrals and Elliptic Functions
* Parabolic Cylinder Functions
* Miscellaneous Functions for Science and Engineering
* Mathematica Notebooks
* C Driver Programs
Editorial Reviews
Booknews
Offers analytical, visual, and computational descriptions for over 150 special functions used in applied mathematics, the natural sciences, engineering, and statistics. The analytical material emphasizes properties of the functions that are most useful for computing them, and is referenced to standard mathematical books. The visual material includes over 700 graphics of the functions from many viewpoints. For computation, provides complete C source programs for each function described and parts of the notebooks for generating test values for them, on a CD-ROM readable by both Windows and Macintosh. Annotation c. by Book News, Inc., Portland, Or.Product Details
Related Subjects
Meet the Author
WILLIAM J. THOMPSON, PhD, DSc, is Professor of Physics at the University of North Carolina, Chapel Hill. The author of three previous Wiley titles, Computing in Applied Science, Computing for Scientists and Engineers, and Angular Momentum, he has published more than 120 papers in theoretical physics, applied mathematics, and statistics.
Table of Contents
The Atlas of Functions.
The Computer Interface.
THE FUNCTIONS.
Introduction to the Functions.
A Visual Tour of the Atlas.
Computing Strategies.
Elementary Transcendental Functions.
Exponential Integrals and Related Functions.
Gamma and Beta Functions.
Combinatorial Functions.
Number Theory Functions.
Probability Distributions.
Error Function, Fresnel and Dawson Integrals.
Orthogonal Polynomials.
Legendre Functions.
Spheroidal Wave Functions.
Bessel Functions.
Struve, Anger, and Weber Functions.
Hypergeometric Functions and Coulomb Wave Functions.
Elliptic Integrals and Elliptic Functions.
Parabolic Cylinder Functions.
Miscellaneous Functions for Science and Engineering.
THE COMPUTER INTERFACE.
The Mathematica Notebooks.
The C Driver Programs.
Appendix.
Indexes.