Complex Analysis in One Variable
Raghavan Narasimhan, Yves Nievergelt
Language: English
Published by Birkhauser Boston, DE, 2000
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
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Add to basketItem description from seller
Seller Inventory # LU-9780817641641
- Title
- Complex Analysis in One Variable
- Author
- Raghavan Narasimhan, Yves Nievergelt
- Publisher
- Birkhauser Boston, DE
- Publication year
- 2000
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0817641645
- ISBN 13
- 9780817641641
- Edition
- Second Edition 2001.
- Dimensions
- 16.23 x 2.36 x 24.16 cm
"Synopsis" may belong to another edition of this title.
From the Back 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.
"About the title" may belong to another edition of this title.
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AbeBooks seller since June 11, 2025
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