Fourier Series and Boundary Value Problems

418 Pages·2011·3.29 MB·English

by  James Ward Brown, Ruel V. Churchill

FOURIER SERIES
AND BOUNDARY
VALUE PROBLEMS
Brown and Churchill Series
ComplexVariablesandApplications,8thEdition
FourierSeriesandBoundaryValueProblems,8thEdition
TheWalterRudinStudentSeriesinAdvancedMathematics
Bóna,Miklós: IntroductiontoEnumerativeCombinatorics
Chartrand,GaryandPingZhang: IntroductiontoGraphTheory
Davis,Sheldon: Topology
Rudin,Walter: PrinciplesofMathematicalAnalysis
Rudin,Walter: RealandComplexAnalysis
OtherMcGraw-HillTitlesinHigherMathematics
Ahlfors,Lars: ComplexAnalysis
Burton,DavidM.: ElementaryNumberTheory
Burton,DavidM.: TheHistoryofMathematics:AnIntroduction
Hvidsten,Michael: GeometrywithGeometryExplorer
FOURIER SERIES
AND BOUNDARY
VALUE PROBLEMS
EighthEdition
James Ward Brown
ProfessorofMathematics
TheUniversityofMichigan–Dearborn
Ruel V. Churchill
LateProfessorofMathematics
TheUniversityofMichigan
FOURIERSERIESANDBOUNDARYVALUEPROBLEMS,EIGHTHEDITION
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LibraryofCongressCataloging-in-PublicationData
Brown,JamesWard.
Fourierseriesandboundaryvalueproblems/JamesWardBrown,RuelV.Churchill.—8thed.
p. cm.
Includesbibliographicalreferencesandindex.
ISBN978-0-07-803597-5
1. Fourierseries.2. Functions,Orthogonal.3. Boundaryvalueproblems.I. Churchill,
RuelV.(RuelVance),1899–1987.II. Title.
QA404.B762011
515 .2433—dc22 2010032734
www.mhhe.com
ABOUT THE AUTHORS
JAMES WARD BROWN is Professor of Mathematics at The University of
Michigan–Dearborn.HeearnedhisA.B.inphysicsfromHarvardUniversityand
his A.M. and Ph.D. in mathematics from The University of Michigan in Ann
Arbor,wherehewasanInstituteofScienceandTechnologyPredoctoralFellow.
He is coauthor with Dr. Churchill of Complex Variables and Applications, now
initseighthedition.HehasreceivedaresearchgrantfromtheNationalScience
Foundation as well as a Distinguished Faculty Award from the Michigan Asso-
ciationofGoverningBoardsofCollegesandUniversities.Dr.Brownislistedin
Who’sWhointheWorld.
RUEL V. CHURCHILL was, at the time of his death in 1987, Professor
EmeritusofMathematicsatTheUniversityofMichigan,wherehebeganteaching
in 1922. He received his B.S. in physics from the University of Chicago and his
M.S. in physics and Ph.D. in mathematics from The University of Michigan. He
was coauthor with Dr. Brown of Complex Variables and Applications, a classic
textthathefirstwroteover60yearsago.HewasalsotheauthorofOperational
Mathematics.Dr.ChurchillheldvariousofficesintheMathematicalAssociation
ofAmericaandinothermathematicalsocietiesandcouncils.

TOTHEMEMORYOFMYFATHER,
GEORGEH.BROWN,
ANDOFMYLONG-TIMEFRIENDANDCOAUTHOR,
RUELV.CHURCHILL.
THESEDISTINGUISHEDMENOFSCIENCEFORYEARSINFLUENCED
THECAREERSOFMANYPEOPLE,INCLUDINGMINE.
J.W.B.
JosephFourier