X
11
Solutions to Laplace’s Equation
11.1 Cartesian Solutions, 424
1 1.2 Expansions With Eigenfunctions, 433
11.3 Cylindrical Solutions, 441
1 1.4 Spherical Solutions, 458
12
Integral Equations
12.1 Classification of Linear Integral Equations, 492
12.2 The Connection Between Differential and
Integral Equations,
493
12.3 Methods of Solution,
498
13
Advanced Topics
in
Complex Analysis
13.1 Multivalued Functions,
509
13.2 The Method of Steepest Descent, 542
14
Tensors
in
Non-Orthogonal Coordinate Systems
14.1
A
Brief Review of Tensor Transformations, 562
14.2 Non-Orthononnal Coordinate Systems,
564
15
Introduction
to
Group Theory
15.1 The Definition of a Group, 597
15.2 Finite Groups and Their Representations, 598
15.3 Subgroups, Cosets, Class, and Character, 607
15.4 Irreducible Matrix Representations, 612
15.5 Continuous Groups, 630
Appendix
A
The Led-Cidta Identity
Appendix
B
The Curvilinear Curl
Appendiv C The Double Integral Identity
Appendix
D
Green’s Function Solutions
Appendix
E
Pseudovectors and the Mirror Test
CONTENTS
424
491
509
562
597
639
641
645
647
653
