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1、UniversitextSpringerBerlinHeidelbergNewYorkHongKongLondonMilanParisTokyoVladimirA.ZorichMathematicalAnalysisIIsfjSpringerVladimirA.ZorichMoscowStateUniversityDepartmentofMathematics(Mech-Math)VorobievyGoryMoscow119992RussiaTranslator:RogerCookeBurlington,VermontUSAe-mail:c
2、ooke@emba.uvm.eduTitleofRussianedition:MatematicheskijAnaliz(PartII,4thcorrectededition,Moscow,2002)MCCME(MoscowCenterforContinuousMathematicalEducationPubl.)Cataloging-in-PublicationDataappliedforAcatalogrecordforthisbookisavailablefromtheLibraryofCongress.Bibliographicin
3、formationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataisavailableintheInternetathttp://dnb.ddb.deMathematicsSubjectClassification(2000):Primary00A05Secondary:26-01,40-01,42-01,54-01,58-0
4、1ISBN3-540-40633-6Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinany
5、otherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGerman
6、CopyrightLaw.Springer-VerlagisapartofSpringerScience+BusinessMediaspringeronline.com©Springer-VerlagBerlinHeidelberg2004PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuc
7、hnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:design&productionGmbH,HeidelbergTypesetbythetranslatorusingaSpringerKTjiXmacropackagePrintedonacid-freepaper46/3111-54321SPIN11605140PrefacesPrefacetotheEnglishEditionAnenti
8、regenerationofmathematicianshasgrownupduringthetimebe•tweentheappearanceofthefirstedition
