Atlas for Computing Mathematical Functions
An Illustrated Guide for Practitioners with Programs in C and Mathematica
Published on 15. April 1997
Book
Mixed media product
XVI, 904 pages
978-0-471-00260-4 (ISBN)
Description
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
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
More details
Edition
Annotated edition
Language
English
Place of publication
New York
United States
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Edition type
Annotated edition
Illustrations
1 CD-ROM
Dimensions
Height: 26 cm
Width: 18.5 cm
Weight
1850 gr
ISBN-13
978-0-471-00260-4 (9780471002604)
Schweitzer Classification
Person
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.
Content
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.