treschev,introduction to the perturbation theory of hamiltonian systems

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1、SpringerMonographsinMathematicsForothertitlespublishedinthisseries,gotohttp://www.springer.com/series/3733DmitryTreschevOlegZubelevichIntroductiontothePerturbationTheoryofHamiltonianSystemsDmitryTreschevOlegZubelevichDepartmentofMechanicsDepartmentofMechanicsRussianAcademyofSciencesandMa

2、thematicsSteklovMathematicalInstituteMoscowStateUniversityul.Gubkina8LeninskieGoryMoscow119991Moscow119899RussiaRussiatreschev@mi.ras.ruozubel@yandex.ruISSN1439-7382ISBN978-3-642-03027-7e-ISBN978-3-642-03028-4DOI10.1007/978-3-642-03028-4SpringerHeidelbergDordrechtLondonNewYorkLibraryofCon

3、gressControlNumber:2009937641MathematicsSubjectClassification(2000):37JXX,37J05,37J10,37J25,37J30,37J40,37J45©Springer-VerlagBerlinHeidelberg2010Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reus

4、eofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.

5、ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverd

6、esign:deblikPrintedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)PrefaceThisbookisanextendedversionoflecturesgivenbythefirstauthorin1995–1996attheDepartmentofMechanicsandMathematicsofMoscowStateUniversity.Webelievethatamajorpartofthebookcanberegardedasanadd

7、itionalmaterialtothestandardcourseofHamiltonianmechanics.IncomparisonwiththeoriginalRussianversion1wehaveincludednewmaterial,simplifiedsomeproofsandcorrectedmis-prints.Hamiltonianequationsfirstappearedinconnectionwithproblemsofgeometricopticsandcelestialmechanics.Late