gtm 220-nestruev j___smooth manifolds and observables (springer 2003)

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1、JetNestruevSmoothManifoldsandObservables123EditorialBoardS.AxlerF.W.GehringK.A.RibetMathematicsDepartmentMathematicsDepartmentMathematicsDepartmentSanFranciscoStateEastHallUniversityofCalifornia,UniversityUniversityofMichiganBerekeleySanFrancisco,CA94132AnnArbor,MI48109Berkeley,CA94720-3840US

2、AUSAUSAaxler@sfsu.edufgehring@math.lsa.umich.eduribet@math.berkeley.eduMathematicsSubjectClassification(2000):58-01,58Jxx,55R05,13Nxx,8LibraryofCongressCataloging-in-PublicationDataNestruev,Jet.Smoothmanifoldsandobservables/JetNestruev.p.cm.—(Graduatetextsinmathematics;220)Includesbibliograph

3、icalreferencesandindex.ISBN0-387-95543-7(alk.paper)1.Manifolds(Mathematics)I.Title.II.Series.QA613.N482002516'.07—dc212002026664ISBN0-387-95543-7Printedonacid-freepaper.©2003Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissi

4、onofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useincon-nectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorherea

5、fterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.987654321SPIN10885698Typesetting:Pages

6、createdbytheauthorsusingaSpringerTeXmacropackage.www.springer-ny.comSpringer-VerlagNewYorkBerlinHeidelbergAmemberofBertelsmannSpringerScience+BusinessMediaGmbHPrefacetotheEnglishEditionTheauthorisverypleasedthathisbook,firstpublishedinRussianin2000byMCCMEPublishers,isnowappearinginEnglishunder

7、theauspicesofsuchatrulyclassicalpublishinghouseasSpringer-Verlag.Inthiseditionseveralpertinentremarksbythereferees(towhomtheauthorexpresseshisgratitude)weretakenintoaccount,andnewexerciseswereadded(mostly)tothefirsthalfofthebook,thusachievinga