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1、FelixKleinArnoldSommerfeldTheTheoryoftheTopVolumeIIntroductiontotheKinematicsandKineticsoftheTopRaymondJ.NagemGuidoSandriTranslatorsPrefacebyMichaelEckertBirkhäuserBoston•Basel•BerlinRaymondJ.NagemGuidoSandriBostonUniversityBostonUniversityBoston,MA02215Boston,MA02215USAUSAnagem@bu.edu
2、sandri@bu.eduISBN:978-0-8176-4720-9e-ISBN:978-0-8176-4721-6DOI:10.1007/978-0-8176-4721-6LibraryofCongressControlNumber:2008926224MathematicsSubjectClassification(2000):01A75,70E05,70E15,70E17,70E50©2008BirkhäuserBoston,apartofSpringerScience+BusinessMedia,LLCAllrightsreserved.Thisworkma
3、ynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(BirkhäuserBoston,c/oSpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageand
4、retrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornotthey
5、aresubjecttoproprietaryrights.Printedonacid-freepaper.987654321www.birkhauser.comContentsPreface...................................................viiTranslators’Remarks.......................................xiiiForeword.................................................xvAdvertisement..
6、...........................................xviiVolumeIIntroductiontotheKinematicsandKineticsoftheTopIntroduction...............................................1ChapterIThekinematicsofthetop§1.Geometrictreatmentofthekinematics....................7§2.Analyticrepresentationofrotationsabou
7、tafixedpoint......15§3.Themeaningoftheparametersα,β,γ,δ..................23§4.Theuseofα,β,γ,δforthestudyoffiniterotations........30§5.Passagetotheso-calledinfinitesimalrotations..............39§6.Theexampleofregularprecession........................47§7.Excursusonthetheoryofquaternions.
