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Deals with the automatic computation of special functions which appear in all areas of engineering and the physical sciences. Contains over 100 computer programs written by the authors and describes the algorithms to provide readers with specific information about each individual program. Consisting of three sections, the first one presents an introduction to the special function to be dealt with, its major properties, and several formulas needed for its computation. The second segment features algorithms for computing the special function and the related quantities and lists corresponding Fortran-77 programs. The final part tabulates representative results to offer a quick outlook on the function's behavior and to check the computed results. The accompanying disk contains all the computer programs discussed in the text.
|Product dimensions:||6.38(w) x 9.53(h) x 1.69(d)|
About the Author
SHANJIE ZHANG is a professor in the Department of Electronic Science and Engineering at Nanjing University in China. His principal research interests include electromagnetic theory, micro-wave antennas, computational electromagnetics, and special functions in mathematical physics. He is a member of the Chinese Institute of Electronics, the Chinese Physical Society, and the Institute of Electrical and Electronics Engineers (IEEE). Professor Zhang is the author of more than 30 published articles and a textbook on numerical methods.
JIANMING JIN, PhD, joined the faculty of the Department of Electrical and Computer Engineering at the University of Illinois at Urbana-Champaign in 1993, after working as a senior scientist at Otsuka Electronics, Inc., USA. He is a recipient of the National Science Foundation Young Investigator Award and the Office of Naval Research Young Investigator Award. He is a senior member of the IEEE and a member of the U.S. National Committee of the International Radio Science Union and the Society of Magnetic Resonance. Professor Jin is the author of more than 40 published articles on computational electromagnetics, electromagnetic theory, and magnetic resonance imaging, and the first comprehensive textbook on the finite element method for electromagnetic analysis, The Finite Element Method in Electromagnetics, also available from Wiley.
Table of Contents
Bernoulli and Euler Numbers.
Gamma, Beta, and Psi Functions.
Modified Bessel Functions.
Integrals of Bessel Functions.
Spherical Bessel Functions.
Hypergeometric and Confluent Hypergeometric Functions.
Parabolic Cylinder Functions.
Spheroidal Wave Functions.
Error Function and Fresnel Integrals.
Cosine and Sine Integrals.
Elliptic Integrals and Jacobian Elliptic Functions.
Summary of Methods for Computing Special Functions.