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Complex Analysis in One Variable






Edition:  2
Pub Date: 
Publisher:  Birkhauser Boston
Summary: 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 0817641645. Eight hundred thirty nine Complex Analysis in One Variable textbooks are available for sale on ValoreBooks.com, one hundred fifty three used from the cheapest price of $85.62, or buy new starting at $72.83.
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Complex Analysis in One Variable

ISBN-13: 9780817641641

ISBN: 0817641645

Edition: 2nd

Pub Date:
Publisher: Birkhauser Boston
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