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1、THEUNIVERSITYSERIESINUNDERGRADUATEMATHEMATICSNAIVESETTHEORYEditorsJohnL.Kelley,UniversityofCaliforniabyPaulR.Halmos,UniversityofMichiganPAULR.HALMOSProfessorofMathematicsPATRICKSUPPEs-IntroductiontoLogiclJ/liver8ilyojIHichiganPAULR.I-lALMos-Finite·DimensionalVectorSpaces,2ndEd.EDWARDJ.MCSHAN
2、EandTRUMANA.BOTTs-RealAnalysisJOlING.KEMENYandJ.LAURIESNELL-FiniteMarkovChainsPATnICKSUPPEs-AxiomaticSetTheoryPAULR.HALMos-NaiveSetTheoryJOIlN1..KELLEy-IntroductiontoModernAlgebran.DUBISCIl-StudcntManualtoModernAlgehraIVANNrvEN-Calculus:AnlIltl'odl/doryApproachA.SmDENBEHo-L.ecturesillProject
3、ive(~eorn()tryD.VANNOSTRANDCOMPANY,INC.PRINCETON,NEWJERSEYAseriesofdistinguishedtextsforundergraduatemathematics.TORONTOLONDOAdditionaltitleswillbelistedandannouncedaspublished.NEWYORK1()/J2~67D.VANNOSTRANDCOMPANY,INC.120AlexanderSt.,Princeton,NewJersey(Principaloffice)24West40Street,NewYork
4、18,NewYorkD.VANNOSTRANDCOMPANY,LTD.PREFACE358,KensingtonHighStreet,London,W.14,EnglandD.VANNOSTRANDCOMPANY(Canada),LTD.25HollingerRoad,Toronto16,CanadaEverymathematicianagreesthateverymathematicianmustknowsomesettheory;thedisagreementbeginsintryingtodecide'howmuchissome.Thisbookcontainsmyans
5、wertothatquestion.ThepurposeofthebookCOPYRHlH'l'©1960,BYistotellthebeginningstudentofadvancedmathematicsthebasicsetD.VANNOSTRANDCOMPANY,INC.theoreticfactsoflife,andtodosowiththeminimumofphilosophicaldiscourseandlogicalformalism.ThepointofviewthroughoutisthatPublishedsimultaneouslyinCanadabyo
6、faprospectivemathematiciananxioustostudygroups,orint~grals,orD.VANNOSTRANDCOMPANY(Canada),Vm.manifolds.Fromthispointofviewtheconceptsandmethodsofthisbookaremerelysomeofthestandardmathematicaltools;theexpertspecialistwillfindnothingncwhere.LibraryofCongressCatalogueCardNo.00-11059Scholarlybib
7、liographicalcredits.andreferencesareoutofplaceinapurelyexpositorybooksuchasthisone.ThestudentwhogetsinterestedNoreproductioninanyformofthisbook,inwholeorininsettheoryforitsownsakeshouldknow,however,thatthereismuchpart(exceptforbriefquotationincriti
