Lectures in Logic and Set Theory- Volume 2, Set Theory

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1、CAMBRIDGESTUDIESINADVANCEDMATHEMATICSEDITORIALBOARDB.BOLLOBAS,W.FULTON,A.KATOK,F.KIRWAN,P.SARNAKLecturesinLogicandSetTheoryVolume2Thistwo-volumeworkbridgesthegapbetweenintroductoryexpositionsoflogicorsettheoryononehand,andtheresearchliteratureontheother.Itcanb

2、eusedasatextinanadvancedundergraduateorbeginninggraduatecourseinmathematics,computerscience,orphilosophy.Thevolumesarewritteninauser-friendlyconversationallecturestylethatmakesthemequallyeffectiveforself-studyorclassuse.Volume2,onformal(ZFC)settheory,incorpora

3、tesaself-contained“Chapter0”onprooftechniquessothatitisbasedonformallogic,inthestyleofBourbaki.Theemphasisonbasictechniqueswillprovidethereaderwithasolidfoundationinsettheoryandsetsacontextforthepresentationofad-vancedtopicssuchasabsoluteness,relativeconsisten

4、cyresults,twoexposi-tionsofG¨odel’sconstructibleuniverse,numerouswaysofviewingrecursion,andachapteronCohenforcing.GeorgeTourlakisisProfessorofComputerScienceatYorkUniversityofOntario.Alreadypublished2K.PetersenErgodictheory3P.T.JohnstoneStonespaces5J.-P.Kahane

5、Somerandomseriesoffunctions,2ndedition7J.Lambek&P.J.ScottIntroductiontohigher-ordercategoricallogic8H.MatsumuraCommutativeringtheory10M.AschbacherFinitegrouptheory,2ndedition11J.L.AlperinLocalrepresentationtheory12P.KoosisThelogarithmicintegralI14S.J.Patterson

6、AnintroductiontothetheoryoftheRiemannzeta-function15H.J.BauesAlgebraichomotopy16V.S.VaradarajanIntroductiontoharmonicanalysisonsemisimpleLiegroups17W.Dicks&M.DunwoodyGroupsactingongraphs19R.Fritsch&R.PiccininiCellularstructuresintopology20H.KlingenIntroductory

7、lecturesonSiegelmodularforms21P.KoosisThelogarithmicintegralII22M.J.CollinsRepresentationsandcharactersoffinitegroups24H.KunitaStochasticflowsandstochasticdifferentialequations25P.WojtaszczykBanachspacesforanalysts26J.E.Gilbert&M.A.M.MurrayCliffordalgebrasandDir

8、acoperatorsinharmonicanalysis27A.Frohlich&M.J.TaylorAlgebraicnumbertheory28K.Goebel&W.A.KirkTopicsinmetricfixedpointtheory29J.F.HumphreysReflectiongroupsandCoxetergroups30D.J.BensonR