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10 Laplace’s Equation 68
10.1 Solved Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
10.2 Supplementary Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
II Appendices 82
A Greek Letters 83
B Table of Derivatives 85
C Table of Integrals 88
D Table of Sums 91
E Table of Taylor Series 93
F Sturm-Liouville Eigenvalue Problems 95
G Trigonometric Identities 96
G.1 Circular Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
G.2 Hyperbolic Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
H Vector Analysis 99
Answers and Hints to Supplementary Problems 100
Solutions to Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111
iv
