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