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The Theory of Spherical and Ellipsoidal Harmonics


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Table of Contents

Preface; 1. The transformation of Laplaces's equation; 2. The solution of Laplace's equation in polar coordinates; 3. The Legendres associated functions; 4. Spherical harmonics; 5. Spherical harmonics of general type; 6. Approximate values of the generalized Legendres functions; 7. Representation of functions by series; 8. The addition theorems for general Legendres functions; 9. The zeros of Legendres functions and associated functions; 10. Harmonics for spaces bounded by surfaces of revolution; 11. Ellipsoidal harmonics; List of authors quoted; General index.

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This highly informative 1931 volume by Ernest William Hobson (1856-1933) examines the theory of spherical and ellipsoidal harmonics.

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