Complex Analysis

Name: Complex Analysis
Availability: InStock
ISBN: 9780387985923

ISBN-10: 0387985921

ISBN-13: 9780387985923

Edition: 4th 1999 (Revised)

Authors: Serge A. Lang

List price: $89.95

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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.…

Book details

List price: $89.95
Edition: 4th
Copyright year: 1999
Publisher: Springer New York
Publication date: 12/7/1998
Binding: Hardcover
Pages: 489
Size: 6.10" wide x 9.25" long x 0.47" tall
Weight: 2.2
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