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Function theory of one complex variable

Author: Robert Everist Greene; Steven G Krantz; American Mathematical Society,
Publisher: Providence (Rhode Island) : American Mathematical Society, [2006]
Series: Graduate studies in mathematics, v. 40.
Edition/Format:   Print book : English : 3rd edView all editions and formats
Summary:

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,  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Robert Everist Greene; Steven G Krantz; American Mathematical Society,
ISBN: 0821839624 9780821839621
OCLC Number: 642570561
Notes: Índice.
Description: XIX, 504 p. : il. ; 26 cm.
Contents: 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, the Bergman kernel, and biholomorphic mappings. --
Special functions. --
The prime number theorem. --
Appendix A : Real analysis. --
Appendix B : The statement and proof of Goursat's theorem.
Series Title: Graduate studies in mathematics, v. 40.
Responsibility: Robert E. Greene, Steven G. Krantz.
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I can say that I have read this book with great pleasure and I do recommend it for those who are interested in complex analysis. Zentralblatt MATH

 
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