内容简介
Differentialgeometryandtopologyareessentialtoolsformanytheoreticalphysicists,particularlyinthestudyofcondensedmatterphysics,gravity,andparticlephysics.Writtenbyphysicistsforphysicsstudents,thistextintroducesgeometricalandtopologicalmethodsintheoreticalphysicsandappliedmathematics.Itassumesnodetailedbackgroundintopologyorgeometry,anditemphasizesphysicalmotivations,enablingstudentstoapplythetechniquestotheirphysicsformulasandresearch."Thoroughlyrecommended"byThePhysicsBulletin,thisvolume'sphysicsapplicationsrangefromcondensedmatterphysicsandstatisticalmechanicstoelementaryparticletheory.Itsmainmathematicaltopicsincludedifferentialforms,homotopy,homology,cohomology,fiberbundles,connectionandcovariantderivatives,andMorsetheory.