Complex Analysis in One Variable - Raghavan Narasimhan, Yves Nievergelt (2000)
ISBN 0817641645
Subject Functions of complex variables; Mathematical analysis
Publisher Birkhäuser Boston
Publication Date 12/21/2000
Format Hardcover (234 x 173 mm)
Language e

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.

Personal Details
Collection Status In Collection
Index 2081
Read It Yes
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Product Details
LoC Classification QA331 .N27 2001 copy
Dewey 515/.9
Edition 2nd ed. /
Cover Price $69.95
No. of Pages 381