9781461273912-1461273919-Riemann Surfaces (Graduate Texts in Mathematics (71))

Riemann Surfaces (Graduate Texts in Mathematics (71))

ISBN-13: 9781461273912
ISBN-10: 1461273919
Edition: Softcover reprint of the original 2nd ed. 1992
Author: Farkas, Hershel M., Kra, Irwin
Publication date: 2012
Publisher: Springer
Format: Paperback 382 pages
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Book details

ISBN-13: 9781461273912
ISBN-10: 1461273919
Edition: Softcover reprint of the original 2nd ed. 1992
Author: Farkas, Hershel M., Kra, Irwin
Publication date: 2012
Publisher: Springer
Format: Paperback 382 pages

Summary

Acknowledged authors Farkas, Hershel M., Kra, Irwin wrote Riemann Surfaces (Graduate Texts in Mathematics (71)) comprising 382 pages back in 2012. Textbook and eTextbook are published under ISBN 1461273919 and 9781461273912. Since then Riemann Surfaces (Graduate Texts in Mathematics (71)) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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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