Complex Analysis

ISBN-10: 0387950699
ISBN-13: 9780387950693
Edition: 2001
List price: $59.95 Buy it from $31.86
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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  More...

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Book details

List price: $59.95
Copyright year: 2001
Publisher: Springer
Publication date: 7/17/2003
Binding: Paperback
Pages: 478
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.804
Language: English

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.

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

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