Comments:ALTERNATE EDITION: International Edition. Paperback. Brand New. Different ISBN number and Cover Page but contents similer to US edition , however the end chapter exercises may differ. No CD/Access code with this. Legal to use despite any disclaimer on cover as per US courts. Choose Expedited shipping for 3-5 business days delivery. We can ship to PO Box Addresses
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Publication Date: 2001
Publisher: Birkhauser Boston
Narasimhan, Raghavan, Nievergelt, Yves
This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of mathematics. Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the Loman-Menchoff theorem and in the corona theorem, and the algebraic structure of the ring of holomorphic functions is studied.Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions.Narasimhan, Raghavan is the author of 'Complex Analysis in One Variable', published 2001 under ISBN 9780817641641 and ISBN 0817641645.
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