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1、Thestudyofcomplexvariablesisimportantforstudentsinengineeringandthephysicalsciencesandisacentralsubjectinmathematics.Inadditiontobeingmathematicallyelegant,complexvariablesprovideapowerfultoolforsolvingproblemsthatareeitherverydifficultorvirtuallyimpossibletoso
2、lveinanyotherway.PartIofthistextprovidesanintroductiontothesubject,includinganalyticfunctions,integration,series,andresiduecalculus.Italsoincludestransformmethods,ordinarydifferentialequationsinthecomplexplane,numericalmeth-ods,andmore.PartIIcontainsconformalm
3、appings,asymptoticexpansions,andthestudyofRiemann–Hilbertproblems.Theauthorsalsoprovideanex-tensivearrayofapplications,illustrativeexamples,andhomeworkexercises.Thisneweditionhasbeenimprovedthroughoutandisidealforuseinintro-ductoryundergraduateandgraduatelevel
4、coursesincomplexvariables.ComplexVariablesIntroductionandApplicationsSecondEditionCambridgeTextsinAppliedMathematicsFOUNDINGEDITORProfessorD.G.CrightonEDITORIALBOARDProfessorM.J.Ablowitz,DepartmentofAppliedMathematics,UniversityofColorado,Boulder,USA.Professor
5、J.-L.Lions,CollegedeFrance,France.ProfessorA.Majda,DepartmentofMathematics,NewYorkUniversity,USA.Dr.J.Ockendon,CentreforIndustrialandAppliedMathematics,UniversityofOxford,UK.ProfessorE.B.Saff,DepartmentofMathematics,UniversityofSouthFlorida,USA.MaximumandMinim
6、umPrinciplesM.J.SewellSolitonsP.G.DrazinandR.S.JohnsonTheKinematicsofMixingJ.M.OttinoIntroductiontoNumericalLinearAlgebraandOptimisationPhillippeG.CiarletIntegralEquationsDavidPorterandDavidS.G.StirlingPerturbationMethodsE.J.HinchTheThermomechanicsofPlasticity
7、andFractureGerardA.MauginBoundaryIntegralandSingularityMethodsforLinearizedViscousFlowC.PozrikidisNonlinearSystemsP.G.DrazinStability,InstabilityandChaosPaulGlendinningAppliedAnalysisoftheNavier-StokesEquationsC.R.DoeringandJ.D.GibbonViscousFlowH.OckendonandJ.
8、R.OckendonSimilarity,Self-similarityandIntermediateAsymptoticsG.I.BarenblattAFirstCourseintheNumericalAnalysisofDifferentialEquationsA.IserlesComplexVariables:IntroductionandApplic
