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1、JetNestruevSmoothManifoldsandObservables123EditorialBoardS.AxlerF.W.GehringK.A.RibetMathematicsDepartmentMathematicsDepartmentMathematicsDepartmentSanFranciscoStateEastHallUniversityofCalifornia,UniversityUniversityofMichiganBerekeleySanFrancisco,CA9413
2、2AnnArbor,MI48109Berkeley,CA94720-3840USAUSAUSAaxler@sfsu.edufgehring@math.lsa.umich.eduribet@math.berkeley.eduMathematicsSubjectClassification(2000):58-01,58Jxx,55R05,13Nxx,8LibraryofCongressCataloging-in-PublicationDataNestruev,Jet.Smoothmanifoldsando
3、bservables/JetNestruev.p.cm.—(Graduatetextsinmathematics;220)Includesbibliographicalreferencesandindex.ISBN0-387-95543-7(alk.paper)1.Manifolds(Mathematics)I.Title.II.Series.QA613.N482002516'.07—dc212002026664ISBN0-387-95543-7Printedonacid-freepaper.©200
4、3Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorschol
5、arlyanalysis.Useincon-nectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimil
6、arterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.987654321SPIN10885698Typesetting:PagescreatedbytheauthorsusingaSpringerTeXmacropackage.www.
7、springer-ny.comSpringer-VerlagNewYorkBerlinHeidelbergAmemberofBertelsmannSpringerScience+BusinessMediaGmbHPrefacetotheEnglishEditionTheauthorisverypleasedthathisbook,firstpublishedinRussianin2000byMCCMEPublishers,isnowappearinginEnglishundertheauspicesof
8、suchatrulyclassicalpublishinghouseasSpringer-Verlag.Inthiseditionseveralpertinentremarksbythereferees(towhomtheauthorexpresseshisgratitude)weretakenintoaccount,andnewexerciseswereadded(mostly)tothefirsthalfofthebook,thusachievinga