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Complex analysis : in the spirit of Lipman Bers

Author: Jane Gilman; Lipman Bers; Irwin Kra; Rubí E Rodríguez
Publisher: New York, NY : Springer, ©2007.
Series: Graduate texts in mathematics, 245.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Springer e-books
Database:WorldCat
Summary:
"This book is intended for a graduate course on complex analysis, also known as function theory. The main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many current and rapidly developing areas of mathematics including the theory of several and infinitely many complex variables, the theory of groups, hyperbolic geometry and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Gilman, Jane, 1945-
Complex analysis.
New York, NY : Springer, ©2007
(DLC) 2007940048
(OCoLC)173498966
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jane Gilman; Lipman Bers; Irwin Kra; Rubí E Rodríguez
ISBN: 9780387747156 038774715X 0387747141 9780387747149
OCLC Number: 209985106
Description: 1 online resource (xiii, 220 pages) : illustrations.
Contents: Preface --
Standard Notation and Commonly used Symbols --
The Fundamental Theorem in Complex Function Theory --
Foundations --
Power Series --
The Cauchy Theory-A Fundamental Theorem --
The Cauchy Theory-Key Consequences --
Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions --
Sequences and Series of Holomorphic Functions --
Conformal Equivalence --
Harmonic Functions --
Zeros of Holomorphic Functions --
Bibliographical Notes --
Bibliography --
Index.
Series Title: Graduate texts in mathematics, 245.
Responsibility: Jane P. Gilman, Irwin Kra, Rubí E. Rodríguez.
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Abstract:

Organizing the basic material of complex analysis in a unique manner, the authors of this versatile book aim is to present a precise and concise treatment of those parts of complex analysis that  Read more...

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From the reviews: "This is a fairly conventional text for a first course in complex analysis. It is an interesting mix of the concrete and the abstract, and of the formulaic and the geometric. It has Read more...

 
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