Riemann Surfaces 在线电子书 图书标签: 数学 Riemann曲面 几何 黎曼面 Donalson 拓扑 分析 英国
发表于2025-01-30
Riemann Surfaces 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025
非常好的复分析后续教程。本科阶段看会受益匪浅。
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This graduate text on Riemann surface theory proves the fundamental analytical results on the existence of meromorphic functions and the Uniformisation Theorem. The approach taken emphasises PDE methods, applicable more generally in global analysis. The connection with geometric topology, and in particular the role of the mapping class group, is also explained. To this end, some more sophisticated topics have been included, compared with traditional texts at this level. While the treatment is novel, the roots of the subject in traditional calculus and complex analysis are kept well in mind.
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Riemann Surfaces 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025