Download Filehost: Rapidgator.net, Uploaded.net By Rubi E. Rodriguez, Irwin Kra, Jane P. Gilman
2013 | 324 Pages | ISBN: 1441973222 | PDF | 3 MB
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.