Complex Analysis

ISBN-10: 0387985921

ISBN-13: 9780387985923

Edition: 4th 1999 (Revised)

Authors: Serge A. Lang

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Description:

This is the fourth edition of Serge Lang's Complex Analysis . The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text.
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Book details

List price: $89.95
Edition: 4th
Copyright year: 1999
Publisher: Springer
Publication date: 7/30/2003
Binding: Hardcover
Pages: 489
Size: 6.75" wide x 9.75" long x 1.25" tall
Weight: 2.178
Language: English

Lang, Yale University, New Haven, CT.

Basic Theory
Complex Numbers and Functions
Power Series
Cauchy's Theorem, First Part
Winding Numbers and Cauchy's Theorem
Applications of Cauchy's Integral Formula
Calculus of Residues
Conformal Mappings
Harmonic Functions
Geometric Function Theory
Schwarz Reflection
The Riemann Mapping Theorem
Analytic Continuation Along Curves
Various Analytic Topics
Applications of the Maximum Modulus Principle and Jensen's Formula
Entire and Meromorphic Functions
Elliptic Functions
The Gamma and Zeta Functions
The Prime Number Theorem
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