(Dolciani Mathematical Expositions, Vol. 37) Folland G.B.-A Guide to Advanced Real Analysis-Mathematical Association of America (2009)

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1、iibevbook2010/12/816:35pagei#1iiAGuidetoAdvancedRealAnalysisiiiiii“bevbook”—2011/2/15—16:16—pageii—#2iic2009byTheMathematicalAssociationofAmerica(Incorporated)LibraryofCongressCatalogCardNumber2009927192PrintEditionISBN978-0-88385-343-6ElectronicEditionISBN978-0-883

2、85-915-5PrintedintheUnitedStatesofAmericaCurrentPrinting(lastdigit):10987654321iiiiiibevbook2010/12/816:35pageiii#3iiTheDolcianiMathematicalExpositionsNUMBERTHIRTY-SEVENMAAGuides#2AGuidetoAdvancedRealAnalysisGeraldB.FollandUniversityofWashington®PublishedandDistribu

3、tedbyTheMathematicalAssociationofAmericaiiiiiibevbook2010/12/816:35pageiv#4iiDOLCIANIMATHEMATICALEXPOSITIONSCommitteeonBooksPaulZorn,ChairDolcianiMathematicalExpositionsEditorialBoardUnderwoodDudley,EditorJeremyS.CaseRosalieA.DanceTevianDrayPatriciaB.HumphreyVirgini

4、aE.KnightMarkA.PetersonJonathanRognessThomasQ.SibleyJoeAlynSticklesiiiiiibevbook2010/12/816:35pagev#5iiTheDOLCIANIMATHEMATICALEXPOSITIONSseriesoftheMathematicalAssociationofAmericawasestablishedthroughagenerousgifttotheAssociationfromMaryP.Dolciani,ProfessorofMathem

5、aticsatHunterCollegeoftheCityUni-versityofNewYork.Inmakingthegift,ProfessorDolciani,herselfanexceptionallytalentedandsuccessfulexpositorofmathematics,hadthepurposeoffurtheringtheidealofexcellenceinmathematicalexposition.TheAssociation,foritspart,wasdelightedtoaccept

6、thegraciousgestureinitiat-ingtherevolvingfundforthisseriesfromonewhohasservedtheAssociationwithdistinction,bothasamemberoftheCommitteeonPublicationsandasamemberoftheBoardofGovernors.ItwaswithgenuinepleasurethattheBoardchosetonametheseriesinherhonor.Thebooksintheseri

7、esareselectedfortheirlucidexpositorystyleandstimu-latingmathematicalcontent.Typically,theycontainanamplesupplyofexercises,manywithaccompanyingsolutions.Theyareintendedtobesufficientlyelementaryfortheundergraduateandeventhemathematicallyinclinedhigh-schoolstudenttound

8、erstandandenjoy,butalsotobeinterestingandsometimeschallengingtothemoreadvancedmathematician.1.MathematicalGems,RossHonsberger2.Mathematica