| 书目名称 | Principles of Complex Analysis |
| 编辑 | Serge Lvovski |
| 视频video | |
| 概述 | Conformal mappings are introduced on an early stage, so the reader can learn to manipulate with subsets of the complex plane before passing to more sophisticated subjects.A special long section is dev |
| 丛书名称 | Moscow Lectures |
| 图书封面 |  |
| 描述 | .This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. The author stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The exposition is rigorous but elementary: abstract notions are introduced only if they are really indispensable. This approach provides a motivation for the reader to digest more abstract definitions (e.g., those of sheaves or line bundles, which are not mentioned in the book) when he/she is ready for that level of abstraction indeed. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and proved in the first nontrivial case, i.e. that of elliptic curves.. |
| 出版日期 | Textbook 2020 |
| 关键词 | complex analysis; ; holomorhic function; conformal mapping; Cauchy formula; residue; Riemann surface |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-59365-0 |
| isbn_softcover | 978-3-030-59367-4 |
| isbn_ebook | 978-3-030-59365-0Series ISSN 2522-0314 Series E-ISSN 2522-0322 |
| issn_series | 2522-0314 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 18:46:48
