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1、Matrices:TheoryandApplicationsDenisSerreSpringerGraduateTextsinMathematics216EditorialBoardS.AxlerF.W.GehringK.A.RibetThispageintentionallyleftblankDenisSerreMatricesTheoryandApplicationsDenisSerreEcoleNormaleSupe´rieuredeLyonUMPALyonCedex07,F-69364FranceDenis.SERRE@umpa.ens-
2、lyon.frEditorialBoard:S.AxlerF.W.GehringK.A.RibetMathematicsDepartmentMathematicsDepartmentMathematicsDepartmentSanFranciscoStateEastHallUniversityofCalifornia,UniversityUniversityofMichiganBerkeleySanFrancisco,CA94132AnnArbor,MI48109Berkeley,CA94720-3840USAUSAUSAaxler@sfsu.e
3、dufgehring@math.lsa.umich.eduribet@math.berkeley.eduMathematicsSubjectClassification(2000):15-01LibraryofCongressCataloging-in-PublicationDataSerre,D.(Denis)[Matrices.English.]Matrices:theoryandapplications/DenisSerre.p.cm.—(Graduatetextsinmathematics;216)Includesbibliographi
4、calreferencesandindex.ISBN0-387-95460-0(alk.paper)1.MatricesI.Title.II.Series.QA188.S47132002512.9′434—dc212002022926ISBN0-387-95460-0Printedonacid-freepaper.TranslatedfromLesMatrices:The´orieetpratique,publishedbyDunod(Paris),2001.2002Springer-VerlagNewYork,Inc.Allrightsres
5、erved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandr
6、etrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowheth
7、erornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.987654321SPIN10869456Typesetting:PagescreatedbytheauthorinLaTeX2e.www.springer-ny.comSpringer-VerlagNewYorkBerlinHeidelbergAmemberofBertelsmannSpringerScience+BusinessMediaGmbHToPascaleandJoachimThispa
8、geintentionallyleftblankPrefaceThestudyofmatricesoccupiesasingularpl
