An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics, with applications to problems in mathematical physics

TEEATISEAN ELEMENTARYFOURIER S SERIESAND ELLIPSOIDALSPHERICAL,CYLINDRICAL,HARMONICS,WITHINAPPLICATIONS TO PROBLEMS MATHEMATICAL PHYSICS.BYELWILLIAM WOOD BYERLY, PH.D.,DOVER INC.PUBLICATIONS,New New YorkYork,Copyright, 1893,William Elwoodby Byerly.new Dover edition first in 1959This publishedis an and unalteredunabridged republicationof the last edition. It is reproduced by permission of Ginn and theCompany, originalof this text.publishers61I:.3(MATH-STAT.Card Number: 59-3787of CatalogLibrary Congressof AmericaManufactured in the United StatesDover Inc.Publications,Street180 VarickNew York New York14,PREFACE.LIBRARYABOUT ten I a course of lectures onyears ago gave Trigonometric Series,the treatment of that in Riemann s "Partiellefollowing closely subjectto a short course on The PotentialDifferentialgleichungen," accompanyProfessor B. 0. Peirce.Function, given byhas been modified andcourse extended until it has become angraduallyMyintroduction to Harmonics and Bessel s and Lame s Functions.SphericalTwo lecture notes were class for theiryears ago my lithographed by myuse and were found so convenient that I haveown- them forpreparedthat useful to others as well as topublication, hoping they may prove myown students. Professor Peirce has his lectures onMeanwhile, publishedPotential Function" &"The Newtonian Ginn and the two(Boston, Co.),sets of lectures form a course at and10) given regularly Harvard,(Math.as ...