Riemann Surfaces (Graduate Texts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Hershel M. Farkas 作者

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

译者

1992-01 出版日期

0 页数

0 价格

Hardcover

丛书系列

9783540977032 图书编码

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Riemann Surfaces (Graduate Texts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Riemann Surfaces (Graduate Texts in Mathematics) 在线电子书图书描述

This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented, as are alternate proofs for the most important results, showing the diversity of approaches to the subject. Of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics.

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