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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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."
Imprint | Springer-Verlag New York |
Country of origin | United States |
Series | Graduate Texts in Mathematics, 245 |
Release date | November 2012 |
Availability | Expected to ship within 12 - 17 working days |
First published | November 2012 |
Authors | Rubi E. Rodriguez, Irwin Kra, Jane P. Gilman |
Dimensions | 235 x 155 x 23mm (L x W x T) |
Format | Hardcover |
Pages | 306 |
Edition | 2nd ed. 2012 |
ISBN-13 | 978-1-4419-7322-1 |
Barcode | 9781441973221 |
Categories | |
LSN | 1-4419-7322-2 |