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1、ThispageintentionallyleftblankDIFFERENTIALGEOMETRYANDLIEGROUPSFORPHYSICISTSDifferentialgeometryplaysanincreasinglyimportantroleinmoderntheoreticalphysicsandappliedmathematics.Thistextbookgivesanintroductiontogeometricaltopicsusefulintheoreticalphysicsandapplied
2、mathematics,includingmanifolds,tensorfields,differentialforms,connections,symplecticgeometry,actionsofLiegroups,bundlesandspinors.Havingwrittenitinaninformalstyle,theauthorgivesastrongemphasisondevelopingtheunderstandingofthegeneraltheorythroughmorethan1000simpl
3、eexercises,withcompletesolutionsordetailedhints.ThebookwillpreparereadersforstudyingmoderntreatmentsofLagrangianandHamiltonianmechanics,electromagnetism,gaugefields,relativityandgravitation.DifferentialGeometryandLieGroupsforPhysicistsiswellsuitedforcoursesinphy
4、sics,mathematicsandengineeringforadvancedundergraduateorgraduatestudents,andcanalsobeusedforactiveself-study.Therequiredmathematicalbackgroundknowledgedoesnotgobeyondthelevelofstandardintroductoryundergraduatemathematicscourses.MarianFecko´,currentlyattheDepart
5、mentofTheoreticalPhysics,ComeniusUni-versity,Bratislava,SlovakiaandattheInstituteofPhysics,SlovakAcademyofSciences,Bratislava,worksonapplicationsofdifferentialgeometryinphysics.Hehasover15years’experiencelecturingonmathematicalphysicsandteachingcoursesondiffere
6、ntialgeometryandLiegroups.DIFFERENTIALGEOMETRYANDLIEGROUPSFORPHYSICISTSMARIANFECKO´ComeniusUniversity,Bratislava,SlovakiaandSlovakAcademyofSciences,Bratislava,SlovakiacambridgeuniversitypressCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridg
7、eUniversityPressTheEdinburghBuilding,Cambridgecb22ru,UKPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521845076©M.Fecko2006Thispublicationisincopyright.Subjecttostatutoryexcepti
8、onandtotheprovisionofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintform
