Complex Analysis: In the Spirit of Lipman Bers
Jane P. Gilman, Irwin Kra, Rubí E. Rodríguez - Complex Analysis: In the Spirit of Lipman Bers
Published: 2007-12-17 | ISBN: 0387747141, 1441925678 | PDF | 234 pages | 3.12 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.