Complex Analysis

ISBN-10: 0387978860
ISBN-13: 9780387978864
Edition: 3rd 1995 (Revised)
List price: $64.95
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Description: This is a new, revised third edition of Serge Lang's ComplexAnalysis. 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  More...

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Book details

List price: $64.95
Edition: 3rd
Copyright year: 1995
Publisher: Springer
Publication date: 3/9/1995
Binding: Hardcover
Pages: 458
Weight: 1.760
Language: English

This is a new, revised third edition of Serge Lang's ComplexAnalysis. 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 Analysisis 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.

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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