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

William Elwood Byerly, University Of California Libraries

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• Publié par: soib
• Nombre de lectures: 27
• Langue: English
• Poids de l'ouvrage: 20 Mo

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TEEATISEAN ELEMENTARY FOURIER S SERIES AND ELLIPSOIDALSPHERICAL,CYLINDRICAL, HARMONICS, WITH INAPPLICATIONS TO PROBLEMS MATHEMATICAL PHYSICS. BY ELWILLIAM WOOD BYERLY, PH.D., DOVER INC.PUBLICATIONS, New New YorkYork,Copyright, 1893, William Elwoodby Byerly. new Dover edition first in 1959This published is an and unalteredunabridged republication of the last edition. It is reproduced by per mission of Ginn and theCompany, original of this text.publishers 61 I: .3 ( MATH-STAT. Card Number: 59-3787of CatalogLibrary Congress of AmericaManufactured in the United States Dover Inc.Publications, Street180 Varick New York New York14,PREFACE. LIBRARY ABOUT ten I a course of lectures onyears ago gave Trigonometric Series, the treatment of that in Riemann s "Partiellefollowing closely subject to a short course on The PotentialDifferentialgleichungen," accompany Professor B. 0. Peirce.Function, given by has been modified andcourse extended until it has become angraduallyMy introduction to Harmonics and Bessel s and Lame s Functions.Spherical Two lecture notes were class for theiryears ago my lithographed by my use and were found so convenient that I haveown- them forprepared that useful to others as well as topublication, hoping they may prove my own students. Professor Peirce has his lectures onMeanwhile, published Potential Function" &"The Newtonian Ginn and the two(Boston, Co.), sets of lectures form a course at and10) given regularly Harvard,(Math. as a introduction to modern Mathematicalintended partial Physics. this course are to beStudents familiar with so much of thetaking supposed " " infinitesimal calculus as is contained in Differential Calculusmy (Boston, " "& and Calculus sameGinn Co.) my Integral edition,(second publishers), " "in book as Dif.to which I refer the Cal." and Int. Gal."present Here, " " " "as in the I of a derivative rather than a differential Calculus," speak ^ "and use the notation D instead of r- for derivative with coefficient," x partial ox to x."respect was at as I have an ofThe course Riemann s "Partiellefirst, said, exposition IIn drew from Ferrer sextending it,Differentialgleichungen." largely " " "Harmonics and Heine s and was somewhatKugelfunctionen,"Spherical to Todhunter of andindebted LordLaplace, Bessel,("Functions Lame-"), of Sound and DifferentialRayleigh Theory "), Forsyth (" Equations "). (" In the notes for I have been aided thepreparing publication, greatly by of Professor B.criticisms and 0. Peirce and Dr.suggestions my colleagues, latter has contributedMaxime and the the brief historicalBocher, kindly sketch contained in IX.Chapter W. E. BYERLY. 1893.CAMBRIDGE, MASS., Sept.