Principles of Mathematical Analysis.pdf

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1、INTERNATIONALSERIESINPUREANDAPPLIEDMATHEMATICSWilliamTedMartin,E.H.Spanier,G.SpringerandP.J.Davis.ConsultingEditorsAhlfors:ComplexAnalysisBuck:AdvancedCalculusBusackerandSaaty:FiniteGraphsandNetworksCheney:IntroductiontoApproximationTheoryChester:TechniquesinPartialDife

2、rentialEquationsCoddingtonandLevinson:TheoryofOrdinaryDiferentialEquationsConteanddeBoor:ElementaryNumericalAnalysis:AnAlgorithmicApproachDennemeyer:IntroductiontoPartialDiferentialEquationsandBoundaryValueProblemsDettman:MathematicalMethodsinPhysicsandEngineeringGolomb

3、andShanks:ElementsofOrdinaryDiferentialEquationsGreenspan:IntroductiontoPartialDiferentialEquationsHamming:NumericalMethodsforScientistsandEngineersHildebrand:IntroductiontoNumericalAnalysisHouseholder:TheNumericalTreatmentofaSingleNonlinearEquationKalman,Falb,andArbib:

4、TopicsinMathematicalSystemsTheoryLass:VectorandTensorAnalysisMcCarty:Topology:AnIntroductionwithApplicationstoTopologicalGroupsMonk:IntroductiontoSetTheoryMoore:ElementsofLinearAlgebraandMatrixTheoryMostowandSampson:LinearAlgebraMoursundandDuris:ElementaryTheoryandAppli

5、cationofNumericalAnalysisPearl:MatrixTheoryandFiniteMathematicsPipesandHarvill:AppliedMathematicsforEngineersandPhysicistsRalston:AFirstCourseinNumericalAnalysisRitgerandRose:DiferentialEquationswithApplicationsRitt:FourierSeriesRudin:PrinciplesofMathematicalAnalysisSha

6、piro:IntroductiontoAbstractAlgebraSimmons:DiferentialEquationswithApplicationsandHistoricalNotesSimmons:IntroductiontoTopologyandModernAnalysisSneddon:ElementsofPartialDiferentialEquationsStruble:NonlinearDiferentialEquationsMcGraw-Hill,Inc.NewYorkSt.LouisSanFranciscoAu

7、cklandBogotaCaracasLisbonLondonMadridMexicoCityMilanMontrealNewDelhiSanJuanSingaporeSydneyTokyoTorontoWALTERRUDINProfessorofMathematicsUniversityofWisconsin-MadisonPrinciplesofMathematicalAnalysisTHIRDEDITIONThisbookwassetinTimesNewRoman.TheeditorswereA.AnthonyArthurand

8、ShellyLevineLangman;theproductionsupervisorwasLeroyA.Young.R.R.Donnelley&SonsCompanywasprinterandbinder.Thisbo