Overview

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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9781441925671

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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 good exercises ! . It is nominally a graduate text (it is in Springer's series of Graduate Texts in Mathematics) ! . The book covers all the usual topics for a first course and includes a lot of advanced topics ! . (Allen Stenger, MathDL, February, 2008) This book is based on the original courses of Complex Analysis that was delivered by the well-known American specialist and lecturer in Analysis, Professor Lipman Bers. ! the book is written in a clear and easily readable manner. ! this book is useful for all specialists and lecturers in Complex Analysis ! and also all specialists who deal with applications of Complex Analysis. I also recommend this book to beginners who want to study Complex Analysis ! . (Peter Zabreiko, Zentralblatt MATH, Vol. 1139 (17), 2008)

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