文档介绍：Cornerstones
Series Editors
Charles L. Epstein, University of Pennsylvania, Philadelphia, PA, USA
Steven G. Krantz, Washington University, St. Louis, MO, USA
Advisory Board
Anthony W. Knapp, Emeritus, State University of New York at Stony Brook,
Stony Brook, NY, USA
For further volumes:
ies/7161
Terrence Napier Mohan Ramachandran
An Introduction to
Riemann Surfaces
Terrence Napier Mohan Ramachandran
Department of Mathematics Department of Mathematics
Lehigh University SUNY at Buffalo
Bethlehem, PA 18015 Buffalo, NY 14260
USA USA
******@ ramac-******@
ISBN 978-0-8176-4692-9 e-ISBN 978-0-8176-4693-6
DOI -0-8176-4693-6
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2011936871
Mathematics Subject Classification (2010): 14H55, 30Fxx, 32-01
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To Raghavan Narasimhan
Preface
A Riemann surface X is a connected 1-plex manifold, that is,
a connected Hausdorff space that is locally homeomorphic to open subsets of
C plex analytic coordinate transformations (this also makes X a real
2-dimensional smooth manifold). Although a connected se