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1、HerbertAmannJoachimEscherAnalysisIIITranslatedfromtheGermanbySilvioLevyandMatthewCargoBirkhäuserBasel·Boston·BerlinAuthors:HerbertAmannJoachimEscherInstitutfürMathematikInstitutfürAngewandteMathematikUniversitätZürichUniversitätHannoverWinterthurerstr.190Welfengarten18057Zürich30
2、167HannoverSwitzerlandGermanye-mail:herbert.amann@math.uzh.che-mail:escher@ifam.uni-hannover.deOriginallypublishedinGermanunderthesametitlebyBirkhäuserVerlag,Switzerland©2001byBirkhäuserVerlag2000MathematicsSubjectClassification:28-01,28A05,28A20,28A25,28B05,58-01,58A05,28A10,58C3
3、5LibraryofCongressControlNumber:2008939525BibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataisavailableintheInternetat.ISBN3-7643-7479-2BirkhäuserVerlag,Bas
4、el–Boston–BerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcasting,reproductiononmicrofilmsorinotherways,andstorageindatabanks.Foranykindofuseper
5、missionofthecopyrightownermustbeobtained.©2009BirkhäuserVerlagAGBasel·Boston·BerlinP.O.Box133,CH-4010Basel,SwitzerlandPartofSpringerScience+BusinessMediaLayoutandLATEX:GiselaAmann,ZürichPrintedonacid-freepaperproducedofchlorine-freepulp.TCFÇPrintedinGermanyISBN978-3-7643-7479-2e-
6、ISBN978-3-7643-7480-8987654321www.birkhauser.chForewordThisthirdvolumeconcludesourintroductiontoanalysis,whereinwefinishlayingthegroundworkneededforfurtherstudyofthesubject.Aswiththefirsttwo,thisvolumecontainsmorematerialthancantreatedinasinglecourse.Itisthereforeimportantinprepari
7、nglecturestochooseasuitablesubsetofitscontent;theremaindercanbetreatedinseminarsorlefttoindependentstudy.Foraquickoverviewofthiscontent,consultthetableofcontentsandthechapterintroductions.Thisbookisalsosuitableasbackgroundforothercoursesorforselfstudy.Wehopethatitsnumerousglimpse
8、sintomoreadvancedanalysiswillarousecurio
