Description
Springer-Verlag New York Inc. Complex Analysis: In The Spirit Of Lipman Bers by Jane P. Gilman Irwin Kra Rubi E. Rodriguez
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.