Mathematical Methods for Physicists

✍ Scribed by George B. Arfken and Hans J. Weber (Auth.)

• Publisher: Academic Press
• Year: 1995
• Tongue: English
• Leaves: 1036
• Edition: 4
• Category: Library

✦ Synopsis

This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject.
A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use.

This revised Fourth Edition includes:
Modernized terminology
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(r), among others

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
PREFACE, Pages xv-xvi
INTRODUCTION, Pages xvii-xviii
1 - VECTOR ANALYSIS, Pages 1-98
2 - VECTOR ANALYSIS IN CURVED COORDINATES AND TENSORS, Pages 99-155
3 - DETERMINANTS AND MATRICES, Pages 156-222
4 - GROUP THEORY, Pages 223-283
5 - INFINITE SERIES, Pages 284-362
6 - FUNCTIONS OF A COMPLEX VARIABLE I: Analytic Properties Mapping, Pages 363-409
7 - FUNCTIONS OF A COMPLEX VARIABLE II: Calculus of Residues, Pages 410-455
8 - DIFFERENTIAL EQUATIONS, Pages 456-536
9 - STURM—LIOUVILLE THEORY—ORTHOGONAL FUNCTIONS, Pages 537-590
10 - THE GAMMA FUNCTION (FACTORIAL FUNCTION), Pages 591-626
11 - BESSEL FUNCTIONS, Pages 627-692
12 - LEGENDRE FUNCTIONS, Pages 693-765
13 - SPECIAL FUNCTIONS, Pages 766-807
14 - FOURIER SERIES, Pages 808-845
15 - INTEGRAL TRANSFORMS, Pages 846-919
16 - INTEGRAL EQUATIONS, Pages 920-951
17 - CALCULUS OF VARIATIONS, Pages 952-991
18 - NONLINEAR METHODS AND CHAOS, Pages 992-1004
APPENDIX 1 - Real Zeros of a Function, Pages 1005-1008
APPENDIX 2 - Gaussian Quadrature, Pages 1009-1015
GENERAL REFERENCES, Page 1016
INDEX, Pages 1017-1029