Rubí E Rodríguez

(Author)

Complex Analysis: In the Spirit of Lipman Bers (2012)Hardcover - 2012, 20 November 2012

Complex Analysis: In the Spirit of Lipman Bers (2012)
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Part of Series
Graduate Texts in Mathematics
Print Length
306 pages
Language
English
Publisher
Springer
Date Published
20 Nov 2012
ISBN-10
1441973222
ISBN-13
9781441973221

Description

Here is a work that breaks with tradition and organizes the basic material of complex analysis in a unique manner. The authors' aim is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. The first part of the book is a study of the many equivalent ways of understanding the concept of analyticity, and move on to offer a leisurely exploration of interesting consequences and applications. The book covers most, if not all, of the material contained in Bers's courses on first year complex analysis. In addition, topics of current interest such as zeros of holomorphic functions and the connection between hyperbolic geometry and complex analysis are explored. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra.

Product Details

Authors:
Rubí E RodríguezIrwin KraJane P Gilman
Book Edition:
2012
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
20 November 2012
Dimensions:
23.39 x 15.6 x 1.91 cm
ISBN-10:
1441973222
ISBN-13:
9781441973221
Language:
English
Location:
New York, NY
Pages:
306
Publisher:
Weight:
630.49 gm

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