Atlas for computing mathematical functions : an illustrated guide for practitioners with programs in FORTRAN 90 and Mathematica

Bibliographic Information

Atlas for computing mathematical functions : an illustrated guide for practitioners with programs in FORTRAN 90 and Mathematica

William J. Thompson

Wiley, 1997

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"A Wiley-Interscience publication."

Includes bibliographical references and indexes

Description and Table of Contents

Description

An invaluable reference and learning guide to more than 150 special functions of applied mathematics, statistics, physics, chemistry, computer science, and engineering. This book 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 Fortran-90 source programs on the CD-ROM, which is both Windows and Macintosh compatible.

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, Frensel 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 Fortran Driver Programs. Appendix. Indexes.

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