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About ten years ago I gave a course of lectures on Trigonometric Series, following closely the treatment of that subject in Riemann's \Partielle Di erentialgleichungen," to accompany a short course on The Potential Function, given by Professor B. O. Peirce. My course has been gradually modied and extended until it has become an introduction to Spherical Harmonics and Bessel's and Lam e's Functions. Two years ago my lecture notes were lithographed by my class for their own use and were found so convenient that. | The Project Gutenberg EBook of An Elementary Treatise on Fourier s Series and Spherical Cylindrical and Ellipsoidal Harmonics by William Elwood Byerly This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title An Elementary Treatise on Fourier s Series and Spherical Cylindrical and Ellipsoidal Harmonics With Applications to Problems in Mathematical Physics Author William Elwood Byerly Release Date August 19 2009 EBook 29779 Language English Character set encoding ISO-8859-1 START OF THIS PROJECT GUTENBERG EBOOK TREATISE ON FOURIER S SERIES Produced by Laura Wisewell Carl Hudkins Keith Edkins and the Online Distributed Proofreading Team at http www.pgdp.net The original copy of this book was generously made available for scanning by the Department of Mathematics at the University of Glasgow. AN ELEMENTARY TREATISE ON FOURIER S SERIES AND SPHERICAL CYLINDRICAL AND ELLIPSOIDAL HARMONICS WITH APPLICATIONS TO PROBLEMS IN MATHEMATICAL PHYSICS. BY WILLIAM ELWOOD BYERLY Ph.D. PROFESSOR OF MATHEMATICS IN HARVARD UNIVERSITY. GINN COMPANY BOSTON NEW YORK CHICAGO LONDON Copyright 1893 By WILLIAM ELWOOD BYERLY. ALL RIGHTS RESERVED. Transcriber s Note a few typographical errors have been corrected - these are noted at the end of the text. i PREFACE. About ten years ago I gave a course of lectures on Trigonometric Series following closely the treatment of that subject in Riemann s Partielle Differen-tialgleichungen to accompany a short course on The Potential Function given by Professor B. O. Peirce. My course has been gradually modified and extended until it has become an introduction to Spherical Harmonics and Bessel s and Lame s Functions. Two years ago my lecture notes were lithographed by my class for their own use and were found so convenient that I have prepared them for publication
