Atlas for Computing Mathematical Functions

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.

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.