Symmetry and Separation of Variables
by Willard Miller
 Addison-Wesley,  Reading, Massachusetts, 1977  (out of print)
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Table of Contents

Preface

Chapter 1. The Helmholtz Equation

Chapter 2. The Schrödinger and Heat Equations

Chapter 3. The Three-Variable Helmholtz and Laplace Equations

Chapter 4. The Wave Equation

Chapter 5. The Hypergeometric Function and Its Generalizations

Appendix A. Lie Groups and Algebras

Appendix B. Basic Properties of Special Functions

Appendix C.  Elliptic Functions

References

Index