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Mathematics - Geometry PDF

441 Pages·2009·23.51 MB·English
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Marcel Berger Geometry I Translated from the French by M. Cole and S. Levy (cid:65)(cid:66)(cid:67) Marcel Berger Institut des Hautes Etudes Scientifiques 35, route de Chartres 91440 Bures-sur-Yvette France Michael Cole Academic Industrial Epistemology 17 St. Mary’s Mount Leyburn, North Yorkshire DL8 5JB England Silvio Levy Mathematical Sciences Research Institute 17 Gauss Way Berkeley, CA 94720-2211 USA Title of the original French edition: Géométrie (vols. 1-5) Published by CEDIC and Fernand Nathan, Paris © CEDIC and Fernand Nathan, Paris 1977 Photograph of the author: © E. Boubat <<AGENCE TOP>> Corrected Fourth Printing 2009 ISBN978-3-540-11658-5 e-ISBN978-3-540-93815-6 MathematicsSubjectClassification(1991):51-XX, 52-XX, 53-XX (cid:176)c 1987Springer-VerlagBerlinHeidelberg Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerial isconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broad- casting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationof thispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLaw ofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfrom Springer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw. Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnot imply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. (cid:67)(cid:111)(cid:118)(cid:101)(cid:114)(cid:100)(cid:101)(cid:115)(cid:105)(cid:103)(cid:110):WMXDesignGmbH,Heidelberg Printedonacid-freepaper 987654321 springer.com

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This book атом essentially from two sources: a course called ''Maihe-maliques Element aires Approfondies'', taught in 1972-1973 and 1973-1974 at the University of Paris VII; and the author's fifteen years of experience in preparing the geometry part of the orals in the Agrigation de Mathemalique
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