国外数学名著系列

ThisbooktreatsthatpartofRiemanniangeometryrelatedtomoreclassicaltopicsinaveryoriginal，clearandsolidstyle.BeforegoingtoRiemanniangeometry，theauthorpresentsamoregeneraltheoryofmanifoldswithalinearconnection.HavinginminddifferentgeneralizationsofRiemannianmanifolds，itisclearlystressedwhichnotionsandtheoremsbelongtoRiemanniangeometryandwhichofthemareofamoregeneralnature.Muchattentionispaidtotransformationgroupsofsmoothmanifolds.Throughoutthebook，differentaspectsofsymmetricspacesaretreated.Theauthorsuccessfullycombinestheco-ordinateandinvariantapproachestodifferentialgeometry，whichgivethereadertoolsforpracticalcalculationsaswellasatheoreticalunderstandingofthesubject.Thebookcontainsaveryusefullargeappendixonfoundationsofdifferentiablemanifoldsandbasicstructuresonthemwhichmakesitself-containedandpracticallyindependentfromothersources.Theresultsarewellpresentedandusefulforstudentsinmathematicsandtheoreticalphysics，andforexpertsinthesefields.Thebookcanserveasatextbookforstudentsdoinggeometry，aswellasareferencebookforprofessionalmathematiciansandphysicists.