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1、NadirJeevanjeeAnIntroductiontoTensorsandGroupTheoryforPhysicistsNadirJeevanjeeDepartmentofPhysicsUniversityofCalifornia366LeConteHallMC7300Berkeley,CA94720USAjeevanje@berkeley.eduISBN978-0-8176-4714-8e-ISBN978-0-8176-4715-5DOI10.1007/978-0-8176-4715-5SpringerNewYorkD
2、ordrechtHeidelbergLondonLibraryofCongressControlNumber:2011935949MathematicsSubjectClassification(2010):15Axx,20Cxx,22Exx,81Rxx©SpringerScience+BusinessMedia,LLC2011Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepubl
3、isher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmetho
4、dologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpr
5、ingerispartofSpringerScience+BusinessMedia(www.birkhauser-science.com)ToMyParentsPrefaceThisbookiscomposedoftwoparts:PartI(Chaps.1through3)isanintroductiontotensorsandtheirphysicalapplications,andPartII(Chaps.4through6)introducesgrouptheoryandintertwinesitwiththeearl
6、iermaterial.Bothpartsarewrittenattheadvanced-undergraduate/beginning-graduatelevel,althoughinthecourseofPartIIthesophisticationlevelrisessomewhat.Thoughthetwopartsdiffersomewhatinflavor,Ihaveaimedinbothtofilla(perceived)gapintheliteraturebyconnectingthecomponentformali
7、smsprevalentinphysicscalculationstotheabstractbutmoreconceptualformulationsfoundinthemathliterature.Myfirmbeliefisthatweneedtoseetensorsandgroupsincoordinatestogetasenseofhowtheywork,butalsoneedanabstractformulationtounderstandtheiressentialnatureandorganizeourthinkin
8、gaboutthem.Myoriginalmotivationforthebookwastodemystifytensorsandprovideauni-fiedframeworkforunderstandingtheminallthedifferentconte
