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1、WolfgangFischer
2、IngoLiebACourseinComplexAnalysisWolfgangFischer
3、IngoLiebACourseinComplexAnalysisFromBasicResultstoAdvancedTopicsTEXTBOOKBibliographicinformationpublishedbytheDeutscheNationalbibliothekTheDeutscheNationalbibliothekliststhispublicationintheDeutscheNationalbibliografie;detailed
4、bibliographicdataareavailableintheInternetathttp://dnb.d-nb.de.Prof.Dr.WolfgangFischerUniversityofBremenFaculty3-MathematicsBibliothekstraße1D-28359BremenGermanyfischer@math.uni-bremen.deProf.Dr.IngoLiebUniversityofBonnMathematicalInstituteEndenicherAllee60D-53115BonnGermanyilieb@math.uni-b
5、onn.deLargepartsofthistextaretranslatedfromthebookFischer,W./Lieb,I.:EinführungindieKomplexeAnalysis,Vieweg+TeubnerVerlag,2010.Translation:JanCannizzo1stEdition2012Allrightsreserved©Vieweg+TeubnerVerlag
6、SpringerFachmedienWiesbadenGmbH2012EditorialOffice:UlrikeSchmickler-Hirzebruch
7、BarbaraGe
8、rlachVieweg+TeubnerVerlagisabrandofSpringerFachmedien.SpringerFachmedienispartofSpringerScience+BusinessMedia.www.viewegteubner.deNopartofthispublicationmaybereproduced,storedinaretrievalsystemortrans-mitted,inanyformorbyanymeans,electronic,mechanical,photocopying,recor-ding,orotherwise,wit
9、houtthepriorwrittenpermissionofthecopyrightholder.Registeredand/orindustrialnames,tradenames,tradedescriptionsetc.citedinthispublicationarepartofthelawfortrade-markprotectionandmaynotbeusedfreeinanyformorbyanymeansevenifthisisnotspecificallymarked.Coverdesign:KünkelLopkaMedienentwicklung,He
10、idelbergPrintingcompany:AZDruckundDatentechnik,BerlinPrintedonacid-freepaperPrintedinGermanyISBN978-3-8348-1576-7PrefaceAmongthemostimportanttoolsofmathematicsaretheelementaryfunctions–ratio-nal,trigonometric,hyperbolicandexponentialfunctions,logarithms....Theircloserelationonlybecomesappar
11、entwhenoneadmitscomplexnumbersastheirarguments.Thisleadstodevelopingcomplexanalysis,i.e.calculuswithcomplexnumbers:thesubjectofthepresentbook.Ourchoiceoftopicsandmannerofpresentationhavebeendeterminedbythefollowingconsiderations:1.Thetheoryshouldrapidlyl
