资源描述：
《gtm262.essentials of integration theory for analysis,stroock,springer, 2011》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、GraduateTextsinMathematics262EditorialBoardS.AxlerK.A.RibetForfurthervolumes:http://www.springer.com/series/136DanielW.StroockEssentialsofIntegrationTheoryforAnalysisABCDanielW.StroockDepartmentofMathematicsMassachusettsInstituteofTechnologyCambridge,MA02139USAdws@math.mit.eduEdito
2、rialBoard:S.AxlerK.A.RibetSanFranciscoStateUniversityUniversityofCaliforniaatBerkeleyMathematicsDepartmentMathematicsDepartmentSanFrancisco,CA94132Berkeley,CA94720USAUSAaxler@sfsu.eduribet@math.berkeley.eduISSN0072-5285ISBN978-1-4614-1134-5e-ISBN978-1-4614-1135-2DOI10.1007/978-1-46
3、14-1135-2SpringerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2011934481MathematicsSubjectClassification(2010):28-00,26A42©SpringerScience+BusinessMedia,LLC2011Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepubli
4、sher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownor
5、hereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+Bu
6、sinessMedia(www.springer.com)PrefaceWithsomejusti cation,measuretheoryhasabadreputation.Itisregardedbymoststudentsasasubjectthathaslittlestheticappealandlotsoffussydetails.Inordertomakethesubjectmorepalatable,manyauthorshavechosentoaddspicebyembeddingmeasuretheoryinsideoneoftheman
7、ytopicsinwhichmeasuretheoryplaysacentralrole.Inthepast,Fourieranalysiswasusuallythetopicchosen,butinrecentyearsFourieranalysishasbeenfrequentlydisplacedbyprobabilitytheory.Thereisalottobesaidfortheideaofintroducingarunningmetaphorwithwhichtomotivatethetechnicalde nitionsandminutiae
8、withwhichmeasuretheoryisri
