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A Second Course in Complex Analysis

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A Second Course in Complex Analysis Cover

 

Synopses & Reviews

Publisher Comments:

A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings.

Author William A. Veech, the Edgar Odell Lovett Professor of Mathematics at Rice University, presents the Riemann mapping theorem as a special case of an existence theorem for universal covering surfaces. His focus on the geometry of complex mappings makes frequent use of Schwarz's lemma. He constructs the universal covering surface of an arbitrary planar region and employs the modular function to develop the theorems of Landau, Schottky, Montel, and Picard as consequences of the existence of certain coverings. Concluding chapters explore Hadamard product theorem and prime number theorem.

Synopsis:

Geared toward upper-level undergraduates and graduate students, this clear, self-contained treatment of important areas in complex analysis is chieflyand#160;classical in content and emphasizesand#160;geometry of complex mappings. 1967 edition.

Synopsis:

Geared toward upper-level undergraduates and graduate students, this clear, self-contained treatment of important areas in complex analysis is chiefly classical in content and emphasizes geometry of complex mappings. 1967 edition.

Synopsis:

A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings.

Table of Contents

Preface
1. Analytic continuation
2. Geometric considerations
3. The mapping theorems of Riemann and Koebe
4. The modular function
5. The Hadamard product theorem
6. The prime number theorem
Bibliography
Index

Product Details

ISBN:
9780486462943
Author:
Veech, William
Publisher:
Dover Publications
Author:
Veech, William A.
Author:
Mathematics
Subject:
Mathematical Analysis
Subject:
Functions of complex variables
Subject:
Calculus
Subject:
Mathematics-Analysis General
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20080131
Binding:
TRADE PAPER
Language:
English
Illustrations:
15 Figs.
Pages:
256
Dimensions:
8.5 x 5.38 in 0.6 lb

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Science and Mathematics » Geology » Geophysics
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A Second Course in Complex Analysis Used Trade Paper
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Product details 256 pages Dover Publications - English 9780486462943 Reviews:
"Synopsis" by ,
Geared toward upper-level undergraduates and graduate students, this clear, self-contained treatment of important areas in complex analysis is chieflyand#160;classical in content and emphasizesand#160;geometry of complex mappings. 1967 edition.
"Synopsis" by ,
Geared toward upper-level undergraduates and graduate students, this clear, self-contained treatment of important areas in complex analysis is chiefly classical in content and emphasizes geometry of complex mappings. 1967 edition.
"Synopsis" by ,
A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings.
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