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Topics in complex analysis
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| 概要 | "Complex analysis is found in many areas of applied mathematics, from fluid mechanics, thermodynamics, signal processing, control theory, mechanical and electrical engineering to quantum mechanics, am...ong others. And of course, it is a fundamental branch of pure mathematics. The coverage in this text includes advanced topics that are not always considered in more elementary texts. These topics include, a detailed treatment of univalent functions, harmonic functions, subharmonic and superharmonic functions, Nevanlinna theory, normal families, hyperbolic geometry, iteration of rational functions, and analytic number theory. As well, the text includes in depth discussions of the Dirichlet Problem, Green's function, Riemann Hypothesis, and the Laplace transform. Some beautiful color illustrations supplement the text of this most elegant subject." --続きを見る |
| 目次 | Analytic functions Entire functions Meromorphic functions Normal families Hyperbolic geometry Univalent functions Harmonic functions Subharmonic/superharmonic functions Iteration of rational mappings Analytic number theory. |
| 冊子版へのリンク | https://hdl.handle.net/2324/1001761907 |
| 本文を見る | OAPEN (Open Access Publishing in European Networks): 2023 |
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| 登録日 | 2023.11.21 |
| 更新日 | 2024.01.30 |