Theory of Spherical and Ellipsoidal Harmonics

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

List 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.

Summary

Ernest William Hobson (1856–1933) was a prominent English mathematician. In this volume, which was originally published in 1931, he focuses on the forms and analytical properties of the functions which arise in connection with those solutions of Laplace's equation which are adapted to the case of particular boundary problems.

Product details

• Authors: E. W. Hobson, Ernest William Hobson, HOBSON E W
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 02.02.2012
• EAN: 9781107605114
• ISBN: 978-1-107-60511-4
• No. of pages: 514
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Miscellaneous; SCIENCE / Physics / Mathematical & Computational