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1、SpringerUndergraduateMathematicsSeriesAdvisoryBoardM.A.J.ChaplainUniversityofDundeeK.ErdmannUniversityofOxfordA.MacIntyreQueenMary,UniversityofLondonL.C.G.RogersUniversityofCambridgeE.SüliUniversityofOxfordJ.F.TolandUniversityofBathForothertitlespublishedi
2、nthisseries,gotowww.springer.com/series/3423N.M.J.WoodhouseIntroductiontoAnalyticalDynamicsNewEdition123NicholasM.J.WoodhouseMathematicalInstituteUniversityofOxford24-29StGilesOxford,OX13LBUnitedKingdomnwoodh@maths.ox.ac.ukSpringerUndergraduateMathematicsS
3、eriesISSN1615-2085ISBN978-1-84882-815-5e-ISBN978-1-84882-816-2DOI10.1007/978-1-84882-816-2SpringerLondonDordrechtHeidelbergNewYorkBritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibraryLibraryofCongressControlN
4、umber:2009941530MathematicsSubjectClassification(2000):70HXX,03,05,15,25,99cSpringer-VerlagLondonLimited2009FirstEditionpublishedbyOxfordUniversityPress,1987Apartfromanyfairdealingforthepurposesofresearchorprivatestudy,orcriticismorreview,aspermittedundert
5、heCopyright,DesignsandPatentsAct1988,thispublicationmayonlybereproduced,storedortransmitted,inanyformorbyanymeans,withthepriorpermissioninwritingofthepublishers,orinthecaseofreprographicreproductioninaccordancewiththetermsoflicensesissuedbytheCopyrightLice
6、nsingAgency.Enquiriesconcerningreproductionoutsidethosetermsshouldbesenttothepublishers.Theuseofregisterednames,trademarks,etc.,inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantlawsandregulationsandther
7、eforefreeforgeneraluse.Thepublishermakesnorepresentation,expressorimplied,withregardtotheaccuracyoftheinformationcontainedinthisbookandcannotacceptanylegalresponsibilityorliabilityforanyerrorsoromissionsthatmaybemade.Printedonacid-freepaperSpringerispartof
8、SpringerScience+BusinessMedia(www.springer.com)PrefacetotheNewEditionThisisarevisededitionofatextonclassicalmechanicsthatwasoriginallypublished20yearsagobyOxfordUniversityPress.Ihavetakentheopportu-nitytosimp