A Guide to Advanced Linear Algebra [Weintraub]

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1、iibook2011/3/417:06pagei#1iiAGuidetoAdvancedLinearAlgebraiiiiiibook2011/3/417:06pageii#2iic2011byTheMathematicalAssociationofAmerica(Incorporated)LibraryofCongressCatalogCardNumber2011923993PrintEditionISBN978-0-88385-351-1ElectronicEditionISBN978-0-88385-967-4Prin

2、tedintheUnitedStatesofAmericaCurrentPrinting(lastdigit):10987654321iiiiiibook2011/3/417:06pageiii#3iiTheDolcianiMathematicalExpositionsNUMBERFORTY-FOURMAAGuides#6AGuidetoAdvancedLinearAlgebraStevenH.WeintraubLehighUniversityPublishedandDistributedbyTheMathematicalA

3、ssociationofAmericaiiiiiibook2011/3/417:06pageiv#4iiDOLCIANIMATHEMATICALEXPOSITIONSCommitteeonBooksFrankFarris,ChairDolcianiMathematicalExpositionsEditorialBoardUnderwoodDudley,EditorJeremyS.CaseRosalieA.DanceTevianDrayThomasM.HalversonPatriciaB.HumphreyMichaelJ.Mc

4、AseyMichaelJ.MossinghoffJonathanRognessThomasQ.Sibleyiiiiiibook2011/3/417:06pagev#5iiTheDOLCIANIMATHEMATICALEXPOSITIONSseriesoftheMathematicalAssociationofAmericawasestablishedthroughagenerousgifttotheAssociationfromMaryP.Dolciani,ProfessorofMathematicsatHunterColl

5、egeoftheCityUni-versityofNewYork.Inmakingthegift,ProfessorDolciani,herselfanexceptionallytalentedandsuccessfulexpositorofmathematics,hadthepurposeoffurtheringtheidealofexcellenceinmathematicalexposition.TheAssociation,foritspart,wasdelightedtoacceptthegraciousgestu

6、reinitiat-ingtherevolvingfundforthisseriesfromonewhohasservedtheAssociationwithdistinction,bothasamemberoftheCommitteeonPublicationsandasamemberoftheBoardofGovernors.ItwaswithgenuinepleasurethattheBoardchosetonametheseriesinherhonor.Thebooksintheseriesareselectedfo

7、rtheirlucidexpositorystyleandstimu-latingmathematicalcontent.Typically,theycontainanamplesupplyofexercises,manywithaccompanyingsolutions.Theyareintendedtobesufficientlyelementaryfortheundergraduateandeventhemathematicallyinclinedhigh-schoolstudenttounderstandandenjo

8、y,butalsotobeinterestingandsometimeschallengingtothemoreadvancedmathematician.1.MathematicalGems,RossHonsberger2.MathematicalGemsII,RossHonsberge