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1、SourcesandStudiesintheHistoryofMathematicsandPhysicalSciencesManagingEditorJ.Z.BuchwaldAssociateEditorsJ.L.BerggrenandJ.LützenAdvisoryBoardC.Fraser,T.Sauer,A.ShapiroForothertitlespublishedinthisseries,gotohttp://www.springer.com/series/4142HansFischerAHistoryoftheCentr
2、alLimitTheoremFromClassicaltoModernProbabilityTheoryABCHansFischerKatholischeUniversitätEichstätt-IngolstadtMathematisch-GeographischeFakultätD-85072EichstättGermanyhans.fischer@ku-eichstaett.deISBN978-0-387-87856-0e-ISBN978-0-387-87857-7DOI10.1007/978-0-387-87857-7Spri
3、ngerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2010935663MathematicsSubjectClassification(2010):Primary:60-03;Secondary:01A55,01A60,26-03,42-03,60F05,62-03cSpringerScience+BusinessMedia,LLC2011Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwh
4、oleorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,
5、computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttop
6、roprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)PrefaceThisbookisanentirelyrevised,insomepartsconsiderablyshortened,inotherpartsenlarged,versionofastudywhichwasoriginallypublishedinGermanwiththeti-tleDieverschieden
7、enFormenundFunktionendeszentralenGrenzwertsatzesinderEntwicklungvonderklassischenzurmodernenWahrscheinlichkeitsrechnungatShakerVerlag(Aachen,Germany)in2000.IthankShakerforgivingmetheper-missiontorepublishlargepartsofthatworkinanEnglishtranslation.Thismainlyconcernschap
8、ters1,3,4,and5ofthepresentbook.MostpartsofthisbookhavebeentranslatedfromGermanordirectlywritteninEnglishbytheauthorhi
