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1、GraduateTextsinMathematics262EditorialBoardS.AxlerK.A.RibetForfurthervolumes:http://www.springer.com/series/136DanielW.StroockEssentialsofIntegrationTheoryforAnalysisABCDanielW.StroockDepartmentofMathematicsMassachusettsInstituteofTechnologyCambridge,MA02139US
2、Adws@math.mit.eduEditorialBoard:S.AxlerK.A.RibetSanFranciscoStateUniversityUniversityofCaliforniaatBerkeleyMathematicsDepartmentMathematicsDepartmentSanFrancisco,CA94132Berkeley,CA94720USAUSAaxler@sfsu.eduribet@math.berkeley.eduISSN0072-5285ISBN978-1-4614-1134
3、-5e-ISBN978-1-4614-1135-2DOI10.1007/978-1-4614-1135-2SpringerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2011934481MathematicsSubjectClassification(2010):28-00,26A42©SpringerScience+BusinessMedia,LLC2011Allrightsreserved.Thisworkmaynotbetran
4、slatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretr
5、ieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopin
6、ionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)PrefaceWithsomejusti cation,measuretheoryhasabadreputation.Itisregardedbymoststudentsasasubjectthathaslittlestheticappea
7、landlotsoffussydetails.Inordertomakethesubjectmorepalatable,manyauthorshavechosentoaddspicebyembeddingmeasuretheoryinsideoneofthemanytopicsinwhichmeasuretheoryplaysacentralrole.Inthepast,Fourieranalysiswasusuallythetopicchosen,butinrecentyearsFourieranalysisha
8、sbeenfrequentlydisplacedbyprobabilitytheory.Thereisalottobesaidfortheideaofintroducingarunningmetaphorwithwhichtomotivatethetechnicalde nitionsandminutiaewithwhichmeasuretheoryisri
