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Table of contents (11 chapters)
Keywords
About this book
Reviews
"This book provides an alternative for a first-year graduate course in the classical theory of functions of one complex variable. A theme of the book is to relate classical complex analysis to other branches of mathematics. It includes many of the standard topics for a basic graduate course, but the exposition and viewpoint are strongly influenced by the theory of several complex variables.... One pleasant feature of the text is an early and elementary treatment of the theorems of Picard, Landau and Schottky via Ahlfors' extension of Schwarz's lemma in Chapter 4. In addition to covering many of the standard topics, the author also provides a treatment of covering spaces, the inhomogeneous Cauchy--Riemann equation, compact Riemann surfaces and Wolff's proof of the corona theorem."
--Mathematical Reviews (on the first edition)
"Provides a smooth and unintimidating transition from classical complex analysis in the plane to modern abstract theory on manifolds...An excellent, carefully written and thematically rich book which does not overwhelm the reader...Well-suited as a textbook either for sophisticated beginners or as a sequel to a one-semester introductory course."
---Jahresbericht der DMV (on the first edition)
Authors and Affiliations
Bibliographic Information
Book Title: Complex Analysis in one Variable
Authors: Raghavan Narasimhan
DOI: https://doi.org/10.1007/978-1-4757-1106-6
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1985
eBook ISBN: 978-1-4757-1106-6Published: 06 December 2012
Edition Number: 1
Number of Pages: XVI, 268
Number of Illustrations: 3 b/w illustrations
Topics: Functions of a Complex Variable, Analysis, Applications of Mathematics, Topology