Function Theory of One Complex Variable

Name: Function Theory of One Complex Variable
Price: 69.61 USD
Availability: InStock
ISBN: 9780821839621

ISBN-10: 0821839624

ISBN-13: 9780821839621

Edition: 3rd 2006 (Revised)

Authors: Robert Everist Greene, Steven G. Krantz

List price: $86.00

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Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on…

Book details

List price: $86.00
Edition: 3rd
Copyright year: 2006
Publisher: American Mathematical Society
Publication date: 3/29/2006
Binding: Hardcover
Pages: 504
Size: 7.25" wide x 10.50" long x 1.50" tall
Weight: 2.618
Language: English



Fundamental concepts


Complex line integrals Applications of the Cauchy integral


Meromorphic functions and residues


The zeros of a holomorphic function


Holomorphic functions as geometric mappings


Harmonic functions Infinite series and products


Applications of infinite sums and products


Analytic continuation Topology


Rational approximation theory


Special classes of holomorphic functions


Hilbert spaces of holomorphic functions, the Bergman kernel, and biholomorphic mappings


Special functions The prime number theorem



Real analysis



The statement and proof of Goursat's theorem


References


Index