Abstract
Part I Preliminaries 1. Introduction 2. General Theory Part II Two-Dimensional Coordinate Systems 3. Rectangular Coordinates 4. Circular Coordinates 5. Elliptic Coordinates 6. Parabolic Coordinates Part III Three-Dimensional Coordinate Systems 7. Rectangular Coordinates 8. Circular Cylinder Coordinates 9. Elliptic Cylinder Coordinates 10. Parabolic Cylinder Coordinates 11. Spherical Polar Coordinates 12. Prolate Spheroidal Coordinates 13. Oblate Spheroidal Coordinates 14. Parabolic Rotational Coordinates 15. Conical Coordinates 16. Ellipsoidal Coordinates 17. Paraboloidal Coordinates Part IV Advanced Formulations 18. Differential Geometric Formulations 19. Quantum-mechanical Particle Confined to Neighborhood of Curves 20. Quantum-mechanical Particle Confined to Surfaces of Revolution 21. Boundary Perturbation Theory Appendices A Hypergeometric Functions B Baer Functions C Bessel Functions D Lame Functions E Legendre Functions F Mathieu Functions G Spheroidal Wave Functions H Weber Functions I Elliptic Integrals and Functions Index
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