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1、andGeometryIGordonandBreachSciencePublishersLINEARALGEBRAANDGEOMETRYALGEBRA,LOGICANDAPPLICATIONSASerieseditedbyR.GdbelUniversitatGesamthochschule,Essen,FRGA.MacintyreTheMathematicalInstitute,UniversityofOxford,UKVolume1LinearAlgebraandGeometryA.I.KostrikinandYu.1.ManinAdditio
2、nalvolumesinpreparationVolume2ModelTheoreticAlgebrawithparticularemphasisonFields,Rings,ModulesChristianU.JensenandHelmutLenzingThisbookispartofaseries.Thepublisherwillacceptcontinuationorderswhichmaybecancelledatanytimeandwhichprovideforautomaticbillingandshippingofeachtitle
3、intheseriesuponpublication.Pleasewritefordetails.LINEARALGEBRAANDGEOMETRYPaperbackEditionAlexeiI.KostrikinMoscowStateUniversity,RussiaandYuriI.ManinMax-PlanckInstitutfurMathematik,Bonn,GermanyTranslatedfromSecondRussianEditionbyM.E.AlferieffGORDONANDBREACHSCIENCEPUBLISHERSAus
4、traliaCanadaChinaFranceGermanyIndiaJapanLuxembourgMalaysiaTheNetherlandsRussiaSingaporeSwitzerlandThailand0UnitedKingdomCopyright?1997OPA(OverseasPublishersAssociation)AmsterdamB.V.PublishedinTheNetherlandsunderlicensebyGordonandBreachSciencePublishers.Allrightsreserved.Nopar
5、tofthisbookmaybereproducedorutilizedinanyformorbyanymeans,electronicormechanical,includingphotocopyingandrecording,orbyanyinformationstorageorretrievalsystem,withoutpermissioninwritingfromthepublisherPrintedinIndiaAmsteldijk1661stFloor1079LHAmsterdamTheNetherlandsOriginallypu
6、blishedinRussianin1981asJlrraeiieanAnre6pamFeoMeTpHR(Lineinayaalgebraigeometriya)byMoscowUniversityPress143uaTenvcTSOMocxoacxoroYHHBepCHTeTaTheSecondRussianEditionwaspublishedin1986byNaukaPublishers,Moscow143ztaTe.nbcTBOHayxaMocxaa?1981MoscowUniversityPress.BritishLibraryCata
7、loguinginPublicationDataKostrikiu,A.I.Linearalgebraandgeometry.-(Algebra,logicandapplications;v.1)1.Algebra,Linear2.Geometry1.TitleII.Manin,IU.I.(IuriiIvanovich),1937-512.5ISBN9056990497ContentsPrefacevuBibliographyixCHAPTER1LinearSpacesandLinearMappingsI1LinearSpaces2Basisan
8、dDimension3LinearMappings4Matrices5SubspacesandDirectSums6QuotientSp
