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Riemann Surfaces Graduate Texts In Mathematics 71 Softcover Reprint Of The Original 2nd Ed 1992 Hershel M Farkas

  • SKU: BELL-51196746
Riemann Surfaces Graduate Texts In Mathematics 71 Softcover Reprint Of The Original 2nd Ed 1992 Hershel M Farkas
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Riemann Surfaces Graduate Texts In Mathematics 71 Softcover Reprint Of The Original 2nd Ed 1992 Hershel M Farkas instant download after payment.

Publisher: Springer
File Extension: DJVU
File size: 3.21 MB
Pages: 382
Author: Hershel M. Farkas, Irwin Kra
ISBN: 9781461273912, 1461273919
Language: English
Year: 2012
Edition: Softcover reprint of the original 2nd ed. 1992

Product desciption

Riemann Surfaces Graduate Texts In Mathematics 71 Softcover Reprint Of The Original 2nd Ed 1992 Hershel M Farkas by Hershel M. Farkas, Irwin Kra 9781461273912, 1461273919 instant download after payment.

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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