|By Subject > Science and Mathematics > Mathematics > Real and Complex Analysis > 2 > A Second Course in Complex Analysis|
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.
|A Second Course in Complex Analysis|
|Author:||William A. Veech|
|Contents:||Click to View|
|Dimensions:||5 3/8 x 8 1/2|
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.
Reprint of the W. A. Benjamin, Inc., New York, 1967 edition.
|Ready to Buy?|
Add this to your cart
(you can always remove it later.)
Shopping here is Guaranteed Safe!
|Here's a sample of other Dover titles that may interest your customers.|
|Introductory Complex Analysis|
by Richard A. Silverman
Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition. read more
|Complex Analysis with Applications|
by Richard A. Silverman
The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition. read more
|Conformal Mapping on Riemann Surfaces|
by Harvey Cohn
Lucid, insightful exploration reviews complex analysis, introduces Riemann manifold, shows how to define real functions on manifolds, and more. Perfect for classroom use or independent study. 344 exercises. 1967 edition. read more
|The Laplace Transform|
by David V. Widder
This volume focuses on the Laplace and Stieltjes transforms, offering a highly theoretical treatment. Topics include fundamental formulas, the moment problem, monotonic functions, and Tauberian theorems. 1941 edition. read more
|Complex Analysis in Banach Spaces|
by Jorge Mujica
The development of complex analysis is based on issues related to holomorphic continuation and holomorphic approximation. This volume presents a unified view of these topics in finite and infinite dimensions. 1986 edition. read more
|Complex Variables: Second Edition|
by Stephen D. Fisher
Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices. read more