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1、AFirstCourseinComplexAnalysiswithApplicationsDennisG.ZillLoyolaMarymountUniversityPatrickD.ShanahanLoyolaMarymountUniversityWorldHeadquartersJonesandBartlettPublishersJonesandBartlettPublishersJonesandBartlettPublishers40TallPineDriveCanadaInternationalSudbury,MA017762406NikannaRoadBarbHouse,
2、BarbMews978-443-5000Mississauga,ONL5C2W6LondonW67PAinfo@jbpub.comCANADAUKwww.jbpub.comCopyright©2003byJonesandBartlettPublishers,Inc.LibraryofCongressCataloging-in-PublicationDataZill,DennisG.,1940-Afirstcourseincomplexanalysiswithapplications/DennisG.Zill,PatrickD.Shanahan.p.cm.Includesindex
3、es.ISBN0-7637-1437-21.Functionsofcomplexvariables.I.Shanahan,Patrick,1931-II.Title.QA331.7.Z552003515’.9—dc212002034160Allrightsreserved.Nopartofthematerialprotectedbythiscopyrightnoticemaybereproducedorutilizedinanyform,electronicormechanical,includingphotocopying,recording,oranyinformations
4、torageorretrievalsystem,withoutwrittenpermissionfromthecopyrightowner.ChiefExecutiveOfficer:ClaytonJonesChiefOperatingOfficer:DonW.Jones,Jr.ExecutiveV.P.andPublisher:RobertW.Holland,Jr.V.P.,DesignandProduction:AnneSpencerV.P.,ManufacturingandInventoryControl:ThereseBräuerDirector,SalesandMark
5、eting:WilliamKaneEditor-in-Chief,College:J.MichaelStranzProductionManager:AmyRoseMarketingManager:NathanSchultzAssociateProductionEditor:KarenFerreiraEditorialAssistant:TheresaDiDonatoProductionAssistant:JennyMcIsaacCoverDesign:Night&DayDesignComposition:NortheastCompositorsPrintingandBinding
6、:CourierWestfordCoverPrinting:JohnPowCompanyThisbookwastypesetwithTexturesonaMacintoshG4.ThefontfamiliesusedwereComputerModernandCaslon.Thefirstprintingwasprintedon50#Finchopaque.PrintedintheUnitedStatesofAmerica060504030210987654321ForDana,Kasey,andCodyContents7.1ContentsPrefaceixChapter1.Co
7、mplexNumbersandtheComplexPlane11.1ComplexNumbersandTheirProperties21.2ComplexPlane101.3PolarFormofComplexNumbers161.4PowersandRoots231.5SetsofPointsintheComplexPlane291.6Applications36Chapter1ReviewQuiz45Chapter2.ComplexFunctionsandMappings49
