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1、ComplexAnalysiswithApplicationsinScienceandEngineeringHaroldCohenComplexAnalysiswithApplicationsinScienceandEngineeringSecondEditionwith212illustrationsHaroldCohenDepartmentofPhysicsandAstronomyCaliforniaStateUniversity,LosAngeles5151StateUniversityDriveLosAngeles,CA90032U.S.A.hcohen@calstatela.ed
2、uCoverillustrationsofRiemann,Gauss,andCauchybyHelenCohen.MathematicsSubjectClassification(2000):30-01,30-xxLibraryofCongressControlNumber:2007929986ISBN-13:978-0-387-73057-8e-ISBN-13:978-0-387-73058-5Printedonacid-freepaper.c2007SpringerScience+BusinessMedia,LLCFirstpublishedin2003byKluwerAcademic
3、PublishersasFundamentalsandApplicationsofComplexAnalysis,ISBN:0-306-47748-3.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMediaLLC,233SpringStreet,NewYork,NY10013,USA)andtheauthor,exceptforbriefexcerptsinconnect
4、ionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,eveniftheyarenotid
5、entifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.987654321springer.com(LAP/SB)ThisbookisdedicatedwithlovetomywifeHelen,mydaughterAllyson,mysonDavid,andmydaughterLisa.Aswithitspredecessor,“FundamentalsandApplicationsofComplexAnalysis,”thisbookisal
6、sodedicatedtothememoryofDr.CharlesPine,whoprovidedtheacademicnurturingIneededwhenIfirstdiscoveredthebeautyofmathematicsanditsapplicationstoscientificproblems.Iam,thereforeIthink.ContentsPreface.........................................................................................................
7、.xvExample.......................................................................................................xix1INTRODUCTION...................................................................................
