An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics

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Courier Corporation, 2003 - Mathematics - 287 pages
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Originally published over a century ago, this work remains among the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. The subsequent growth of science into a diverse range of specialties has enhanced the value of this classic, whose thorough, basic treatment presents material that is assumed in many other studies but seldom available in such concise form. The development of functions, series, and their differential equations receives detailed explanations, and throughout the text, theory is applied to practical problems, with the solutions fully worked out. In addition, 190 problems, many with hints, are included. 1893 edition. Appendix of 6 tables.
 

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Contents

CHAPTER
1
CHAPTER II
30
CONVERGENCE OF FOURIER SERIES 6668
55
CHAPTER IV
69
CHAPTER VI
195
CHAPTER VII
219
CHAPTER IX
235
CHAPTER VIII
238
HISTORIcAL SDMMARY 267276
267
TABLES 577287
277
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