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1、moreinformation-www.cambridge.org/9781107032026ACOURSEINMATHEMATICALANALYSISVolumeI:FoundationsandElementaryRealAnalysisThethreevolumesofACourseinMathematicalAnalysisprovideafullanddetailedaccountofallthoseelementsofrealandcomplexanalysisthatanundergrad
2、uatemathematicsstudentcanexpecttoencounterinthefirsttwoorthreeyearsofstudy.Containinghundredsofexercises,examplesandappli-cations,thesebookswillbecomeaninvaluableresourceforbothstudentsandinstructors.VolumeIfocusesontheanalysisofreal-valuedfunctionsofar
3、ealvariable.Besidesdevelopingthebasictheoryitdescribesmanyapplications,includingachapteronFourierseries.ItalsoincludesaPrologueinwhichtheauthorintroducestheaxiomsofsettheoryandusesthemtoconstructtherealnumbersystem.VolumeIIgoesontoconsidermetricandtopol
4、ogicalspaces,andfunctionsofseveralvariables.VolumeIIIcoverscomplexanalysisandthetheoryofmeasureandintegration.d.j.h.garlingisEmeritusReaderinMathematicalAnalysisattheUniversityofCambridgeandFellowofStJohn’sCollege,Cambridge.Hehasfiftyyears’experienceoft
5、eachingundergraduatestudentsinmostareasofpuremathematics,butparticularlyinanalysis.ACOURSEINMATHEMATICALANALYSISVolumeIFoundationsandElementaryRealAnalysisD.J.H.GARLINGEmeritusReaderinMathematicalAnalysis,UniversityofCambridge,andFellowofStJohn’sCollege
6、,CambridgecambridgeuniversitypressCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,S˜aoPaulo,Delhi,MexicoCityCambridgeUniversityPressTheEdinburghBuilding,CambridgeCB28RU,UKPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cam
7、bridge.orgInformationonthistitle:www.cambridge.org/9781107032026cD.J.H.Garling2013Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenperm
8、issionofCambridgeUniversityPress.Firstpublished2013PrintedandboundintheUnitedKingdombytheMPGBooksGroupAcataloguerecordforthispublicationisavailablefromtheBritishLibraryLibraryofCongressCataloguinginPublicationdataGarling,D.J.H.Fo
