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

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Hershel M. Farkas

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

1992-01

Hardcover

9783540977032

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发表于2024-12-24

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

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

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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.

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