Complex Analysis

Name: Complex Analysis
Availability: OutOfStock
ISBN: 9780387978864

ISBN-10: 0387978860

ISBN-13: 9780387978864

Edition: 3rd 1995 (Revised)

Authors: Serge A. Lang, J. H. Ewing, F. W. Gehring, P. R. Halmos

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 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…

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




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