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Introduction to Differentiable Manifolds - Serge Lang - ( Universitext, Springer - 2nd Ed.2002 - pp.260 ).pdf

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Introduction to Differentiable Manifolds - Serge Lang - ( Universitext, Springer - 2nd Ed.2002 - pp.260 ).pdf

文档介绍

文档介绍:Serge Lang
Introduction to
Differentiable Manifolds
Second Edition
With 12 Illustrations
Serg) Lan8
Department of Mathematics
Yal) University
New Haven, CT 06520
USA
Serie
Editors:
. Marsde4 L. Sirovich
Control and Dynamic Systems Divisio4 of Applied Mathematics
Californi3 Institut) of Technology Brow4 University
Pasadena, CA 91125 Providence, RI 02912
USA USA
Mathematics Subject Classificatio4 (2000): 58Axx, 34M45, 57Nxx, 57Rxx
Library of Congress Catalogin8-iPublicatio4 Dat3
Lang, Serge, 1927–
Introductio4 to di¤erentiabl) manifolds / Serg) Lang. — 2nd ed.
p. cm. —(Universitext)
Includes bibliographic3l references and index.
ISBN 387-95477-5 (acid-fre) paper)
1. Di¤ere4tial topology. 2. Di¤erentiabl) manifolds. I. Title.
QA649 .L3 2002

6—dc21 2002020940
Th) first editio4 of this book was published by AddisoWesley, Reading, MA, 1972.
ISBN 387-95477-5 Printed o4 acid-fr)) paper.
6 2002 SpringeVerla8 New York, Inc.
All rights reserved. This work may not b) translated o: copied i4 whol) o: i4 part without
th) writte4 permissio4 of th) publishe: (SpringeV)rla8 New York, Inc., 175Fifth Avenue,
New York, NY 10010, USA), except fo: brief excerpts i4 connectio4 with reviews o: scholarly
analysis. Us) i4 connectio4 with any form of informatio4 storag) and retrieval, electronic
adaptation, compute: software, o: by simila: o: dissimila: methodology now know4 o: her
afte: developed is forbidden.
Th) us) i4 this publicatio4 of trad) names, trademarks, servic) marks, and simila: terms, eve4 if
they ar) not identified as such, is not to b) take4 as a4 expressio4 of opinio4 as to whethe: o: not
they ar) subject to proprietary rights.
Printed i4 th) United States of America.
987654321 SPIN 10874516
SpringeVerla8 New York Berli4 Heidelber8
A membe
of Bertelsmann
pringe
Science+Busin
s
Media GmbH
Foreword
This book is a4 outgrowth of my Introduction to Di¤erentiabl
Manifold
(1962) and Di¤erential Manifold
(1972). Both I a