Theory of Functions of a Complex Variable

Name: Theory of Functions of a Complex Variable
Price: 47.27 USD
Availability: InStock
ISBN: 9780828402965

ISBN-10: 0828402965

ISBN-13: 9780828402965

Edition: 2nd

Authors: A. I. Markushevich, Richard A. Silverman

List price: $65.00

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The first English edition of this magnificent textbook, translated from Russian, was published in three substantial volumes. In this second English edition all three volumes have been put together with a new, combined index and bibliography. Some corrections and revisions have been made in the text, primarily in Volume II. Volumes II and III contain numerous references to the earlier volumes, so that the reader is reminded of the exact statements (and proofs) of the more elementary results made use of. The three-volume-in-one format makes it easy to flip back the pages, refresh one's memory, and proceed. The proofs chosen are those that give the student the best `feel' for the subject. The…

Book details

List price: $65.00
Edition: 2nd
Publisher: American Mathematical Society
Binding: Hardcover
Pages: 1138
Size: 6.50" wide x 9.25" long x 2.25" tall
Weight: 3.850
Language: English

Basic Concepts
Introduction
Complex numbers
Sets and functions
Limits and continuity
Connectedness
Curves and domains
Infinity and stereographic projection
Homeomorphisms
Differentiation
Elementary Functions
Differentiation and the Cauchy-Riemann equations
Geometric interpretation of the derivative
Conformal mapping
Elementary entire functions
Elementary meromorphic functions
Elementary multiple-valued functions
Integration
Power Series
Rectifiable curves
Complex integrals
Cauchy's integral theorem
Cauchy's integral and related topics
Uniform convergence
Infinite products
Power series: rudiments
Power series: ramifications
Methods for expanding functions in Taylor series Volume II
Laurent Series
Calculus of Residues
Laurent's series
Isolated singular points
The calculus of residues and its applications
Inverse and implicit functions
Univalent functions
Harmonic and Subharmonic Functions
Basic properties of harmonic functions
Applications to fluid dynamics
Subharmonic functions
The Poisson-Jensen formula and related topics
Entire and Meromorphic Functions
Basic properties of entire functions
Infinite product and partial fraction expansions Volume III
Conformal Mapping
Approximation Theory
Conformal mapping: rudiments
Conformal mapping: ramifications
Approximation by rational functions and polynomials
Periodic and Elliptic Functions
Periodic meromorphic functions
Elliptic functions: Weierstrass' theory
Elliptic functions: Jacobi's theory
Riemann Surfaces
Analytic Continuation
Riemann surfaces
Analytic continuation
The symmetry principle and its applications
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.