Complex Analysis

In the Spirit of Lipman Bers

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Complex Analysis by Irwin Kra, Jane P. Gilman, Rubí E. Rodríguez, Springer New York
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Author: Irwin Kra, Jane P. Gilman, Rubí E. Rodríguez ISBN: 9781441973238
Publisher: Springer New York Publication: November 28, 2012
Imprint: Springer Language: English
Author: Irwin Kra, Jane P. Gilman, Rubí E. Rodríguez
ISBN: 9781441973238
Publisher: Springer New York
Publication: November 28, 2012
Imprint: Springer
Language: English

The authors’ aim here 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. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.

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The authors’ aim here 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. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.

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