Complex Analysis

Name: Complex Analysis
Price: 38.2 USD
Availability: InStock
ISBN: 9780387950693

ISBN-10: 0387950699

ISBN-13: 9780387950693

Edition: 2001

Authors: Theodore W. Gamelin, F. W. Gehring, P. R. Halmos

List price: $64.99

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Description:

The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. The first part comprises the basic core of a course in complex analysis for junior and senior undergraduates. The second part includes various more specialized topics as the argument principle the Poisson integral, and the Riemann mapping theorem. The third part consists of a selection of topics designed to complete the coverage of all background necessary for passing Ph.D. qualifying exams in complex analysis.

Book details

List price: $64.99
Copyright year: 2001
Publisher: Springer New York
Publication date: 5/18/2001
Binding: Paperback
Pages: 480
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 1.848
Language: English



Preface


Introduction



The Complex Plane and Elementary Functions



Analytic Functions



Line Integrals and Harmonic Functions



Complex Integration and Analyticity



Power Series



Laurent Series and Isolated Singularities



The Residue Calculus



The Logarithmic Integral



The Schwarz Lemma and Hyperbolic Geometry



Harmonic Functions and the Reflection Principle



Conformal Mapping



Compact Families of Meromorphic Functions



Approximation Theorems



Some Special Functions



The Dirichlet Problem



Riemann Surfaces


Hints and Solutions for Selected Exercises


References


List of Symbols


Index