CSAM082.Lectures.in.Logic.and.Set.Theory.Vol01(George Tourlakis)(2003)

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1、ThispageintentionallyleftblankCAMBRIDGESTUDIESINADVANCEDMATHEMATICSEDITORIALBOARDB.BOLLOBAS,W.FULTON,A.KATOK,F.KIRWAN,P.SARNAKLecturesinLogicandSetTheoryVolume1Thistwo-volumeworkbridgesthegapbetweenintroductoryexpositionsoflogicorsettheoryononehand,andtheresearchlit

2、eratureontheother.Itcanbeusedasatextinanadvancedundergraduateorbeginninggraduatecourseinmathematics,computerscience,orphilosophy.Thevolumesarewritteninauser-friendlyconversationallecturestylethatmakesthemequallyeffectiveforself-studyorclassuse.Volume1includesformalp

3、rooftechniques,asectiononapplicationsofcompactness(includingnon-standardanalysis),agenerousdoseofcomputa-bilityanditsrelationtotheincompletenessphenomenon,andthefirstpresen-tationofacompleteproofofG¨odel’ssecondincompletenesstheoremsinceHilbertandBernay’sGrundlagen.A

4、lreadypublished2K.PetersenErgodictheory3P.T.JohnstoneStonespaces5J.-P.KahaneSomerandomseriesoffunctions,2ndedition7J.Lambek&P.J.ScottIntroductiontohigher-ordercategoricallogic8H.MatsumuraCommutativeringtheory10M.AschbacherFinitegrouptheory,2ndedition11J.L.AlperinLoc

5、alrepresentationtheory12P.KoosisThelogarithmicintegralI14S.J.PattersonAnintroductiontothetheoryoftheRiemannzeta-function15H.J.BauesAlgebraichomotopy16V.S.VaradarajanIntroductiontoharmonicanalysisonsemisimpleLiegroups17W.Dicks&M.DunwoodyGroupsactingongraphs19R.Fritsc

6、h&R.PiccininiCellularstructuresintopology20H.KlingenIntroductorylecturesonSiegelmodularforms21P.KoosisThelogarithmicintegralII22M.J.CollinsRepresentationsandcharactersoffinitegroups24H.KunitaStochasticflowsandstochasticdifferentialequations25P.WojtaszczykBanachspacesf

7、oranalysts26J.E.Gilbert&M.A.M.MurrayCliffordalgebrasandDiracoperatorsinharmonicanalysis27A.Frohlich&M.J.TaylorAlgebraicnumbertheory28K.Goebel&W.A.KirkTopicsinmetricfixedpointtheory29J.F.HumphreysReflectiongroupsandCoxetergroups30D.J.BensonRepresentationsandcohomologyI

8、31D.J.BensonRepresentationsandcohomologyII32C.Allday&V.PuppeCohomologicalmethodsintransformationgroups33C.Souleetal.LecturesonArakelovgeom