Preface. Introduction. (1) Vector Analysis.
(2) Vector Analysis In Curved Coordinates And Tensors. (3) Determines and Matrices. (4) Group Theory. (5) Infinite Series. (6) Functions of a Complex Variable I: Analytic Properties Mapping.
(7) Functions of A Complex Variable II: Calculus of Residues. (8) Differntial Equations. (9) Sturm-Liouville Theory-Orthogonal Functions. (10) The Gamma Function (Factorial Function) (11) Bessel Functions. (12) Legendre Functions. (13) Special Functions. (14) Fourier Series. (15) Integral Transforms. (16) Intergal Equations. (17) Calculus of Variations. (18) Nonlinear Methods and Chaos.
Appendix 1. Real Zeros of a Function.
Appendix 2 Gaussian Quadrature
* This revised Fourth Edition includes:
* Modernized technology
* Group theoretic methods brought together and expanded in a new chapter
* An entirely new chapter on nonlinear mathematical physics
* Significant revisions of the differential equations and complex variables chapters
* Many new or improved exercises
* Forty new or improved figures
* An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica, among others.
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More than 90,000 copies sold through five previous editions!From the Back Cover:
ABOUT THIS BOOK:
Selling more than 70,000 copies through four previous editions, this best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. An essential addition to the bookshelf of any serious student of physics or research professional in the field.
* Completely new art program throughout the book
* Updated references for using Numerical Recipes and Mathematics computational techniques
* Valuable reference compendium for important mathematical methods used in physics
ABOUT THE AUTHORS:
George B. Afken is Professor Emeritus at Miami University of Ohio, and resides in Clearwater, Florida.
Hans Juergen Weber is Professor of Physics at the University of Virginia, and a scholar and researcher in the fields of theoretical nuclear physics and particle physics. As part of his research with students and colleagues he analyzes data from the Thomas Jefferson National Accelerator Facility in Newport News, VA relating to the quark structure of the proton and neutron. Prof. Weber holds a doctorate (Doctor rer. nat.) from the University of Frankfurt and has published more than 100 papers in current physics journals.
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