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1、GraduateTextsinMathematics53EditorialBoardS.AxlerK.A.RibetForothertitlesinthisseries,gotohttp://www.springer.com/series/136Yu.I.ManinACourseinMathematicalLogicforMathematiciansSecondEditionChaptersI-VIIItranslatedfromtheRussianbyNealKoblitzWithnewchapters
2、byBorisZilberandYuriI.ManinAuthor:Contributor:Yu.I.ManinB.ZilberMax-PlanckInstitutfürMathematikMathematicalInstitute53111BonnUniversityofOxfordGermanyOxfordOX13LBmanin@mpim-bonn.mpg.deUnitedKingdomzilber@maths.ox.ac.ukFirstEditionTranslatedby:NealKoblitzD
3、epartmentofMathematicsUniversityofWashingtonSeattle,WA98195USAkoblitz@math.washington.eduEditorialBoard:S.AxlerK.A.RibetMathematicsDepartmentMathematicsDepartmentSanFranciscoStateUniversityUniversityofCaliforniaatBerkeleySanFrancisco,CA94132Berkeley,CA947
4、20USAUSAaxler@sfsu.eduribet@math.berkeley.eduISSN0072-5285ISBN978-1-4419-0614-4e-ISBN978-1-4419-0615-1DOI10.1007/978-1-4419-0615-1SpringerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2009934521MathematicsSubjectClassification(2000):03-XX
5、,03-01©Secondedition2010byYu.I.Manin©Firstedition1977bySpringerVerlag,NewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY1001
6、3,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthis
7、publicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www
8、.springer.com)ToNikita,FedorandMitya,withlovePrefacetotheSecondEdition1.Thefirsteditionofthisbookwaspublishedin1977.Thetexthasbeenwellreceivedandisstillused,althoughithasbeenoutofprintforsometime.Intheinterveningthre
