文档介绍：Raymond O. Wells, Jr.
Differential Analysis
plex Manifolds
Third Edition
New Appendix
By Oscar Garcia-Prada
Raymond O. Wells, Jr.
Jacobs University Bremen
Campus Ring 1
28759 Bremen
Germany
Editorial Board
S. Axler . Ribet
Mathematics Department Department of Mathematics
San Francisco State University of California
University at Berkeley
San Francisco, CA 94132 Berkeley, CA 94720-3840
USA USA
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Mathematics Subject Classification 2000: 58-01, 32-01
Library of Congress Control Number: 2007935275
ISBN: 978-0-387-90419-0
Printed on acid-free paper.
© 2008 Springer Science + Business Media, LLC
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PREFACE TO THE
FIRST EDITION
This book is an outgrowth and a considerable expansion of lectures given
at Brandeis University in 1967–1968 and at Rice University in 1968–1969.
The first four chapters are an attempt to survey in detail some recent
developments in four somewhat different areas of mathematics: geometry
(manifolds and vector bundles), algebraic topology, differential geometry,
and partial differential equations. In these chapters, I have developed vari-
ous tools that are useful in the study plex manifolds. My
motivation for the choice of topics develope