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.
- ISBN10 0387747141
- ISBN13 9780387747149
- Publish Date 1 December 2007
- Publish Status Out of Print
- Out of Print 16 March 2021
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Format Hardcover
- Pages 240
- Language English