流形导论第2版英文版_（法）图（LoringW.Tu）著.pdf

UniversitextLoring W.TuAn Introductionto ManifoldsSecond Edition流形导论第2版Springer必果用书业版公司Loring W.TuDepartment of MathematicsTufts UniversityMedford.MA 02155loring.tutufts.eduEditorial board:Sheldon Axler,San Francisco State UniversityVincenzo Capasso.Universita degli Studi di MilanoCarles Casacuberta,Universitat de BarcelonaAngus MacIntyre,Queen Mary.University of LondonKenneth Ribet,University of California,BerkeleyClaude Sabbah,CNRS,Ecole PolytechniqueEndre Suli,University of OxfordWojbor Woyczynski,Case Western Reserve UniversityISBN978-1-4419-7399-3eSBN978-1-4419-7400-6D0I10.1007/978-1-4419-7400-6Springer New York Dordrecht Heidelberg LondonLibrary of Congress Control Number:2010936466Mathematics Subject Classification(2010):58-01.58Axx,58A05.58A10.58A12Springer Science+Business Media,LLC 2011All rights reserved.This work may not be translated or copied in whole or in part without the writtenpermission of the publisher(Springer Science+Business Media.LLC.233 Spring Street.New York.NY10013.USA).except for brief excerpts in connection with reviews or scholarly analysis.Use in connectionwith any form of information storage and retrieval,electronic puter software.or by similaror dissimilar methodology now known or hereafter developed is forbidden.The use in this publication of trade names,trademarks,service marks.and similar terms.even if they arenot identified as such.is not to be taken as an expression of opinion as to whether or not they are subjectto proprietary rights.Reprint from English language edition:An Introduction to Manifolds Second Editionby Loring W.TuCopyright 2011.Springer Science+Business MediaThis reprint has been authorized by Springer Science Business Media for distribution inChina Mainland only and not for export therefromDedicated to the memory of Raoul Bott