This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to such a degree that Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without side-stepping any issues of rigor. Each chapter concludes with a wide selection of exercises.
| Author: Bruce P. Palka |
| Publisher: Springer |
| Publication Date: Sep 30, 2012 |
| Number of Pages: 560 pages |
| Binding: Paperback or Softback |
| ISBN-10: 1461269679 |
| ISBN-13: 9781461269670 |
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