Complex Analysis in One Variable Original boards - 2000
by Narasimhan, Raghavan & Yves Nievergelt
- Used
- Hardcover
- first
Description
Standard delivery: 30 to 45 days
Details
- Title Complex Analysis in One Variable
- Author Narasimhan, Raghavan & Yves Nievergelt
- Binding Original boards
- Edition First Edition
- Condition New
- Pages 381
- Volumes 1
- Language ENG
- Publisher Birkhäuser, Boston, Basel & Berlin
- Date 2000
- Illustrated Yes
- Features Illustrated
- Bookseller's Inventory # 61466
- ISBN 9780817641641 / 0817641645
- Weight 1.56 lbs (0.71 kg)
- Dimensions 9.51 x 6.39 x 0.93 in (24.16 x 16.23 x 2.36 cm)
- Library of Congress subjects Functions of complex variables, Mathematical analysis
- Library of Congress Catalog Number 00051906
- Dewey Decimal Code 515.9
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From the rear cover
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. New to this second edition, a collection of over 100 pages worth of exercises, problems, and examples gives students an opportunity to consolidate their command of complex analysis and its relations to other branches of mathematics, including advanced calculus, topology, and real applications.