About this book
Introduction
Keywords
Bibliographic information
 Book Title Complex Analysis in one Variable

Authors
NARASIMHAN
 DOI https://doi.org/10.1007/9781475711066
 Copyright Information Birkhäuser Boston 1985
 Publisher Name Birkhäuser, Boston, MA
 eBook Packages Springer Book Archive
 Softcover ISBN 9780817632373
 eBook ISBN 9781475711066
 Edition Number 1
 Number of Pages XVI, 268
 Number of Illustrations 3 b/w illustrations, 0 illustrations in colour

Topics
Functions of a Complex Variable
Analysis
Applications of Mathematics
Topology
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Reviews
"This book provides an alternative for a firstyear 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 CauchyRiemann 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...Wellsuited as a textbook either for sophisticated beginners or as a sequel to a onesemester introductory course."
Jahresbericht der DMV (on the first edition)