Riemann Surfaces (Paperback, Softcover reprint of the original 2nd ed. 1992)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 71
Release date:	October 2012
First published:	1992
Authors:	Hershel M. Farkas • Irwin Kra
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Paperback
Pages:	366
Edition:	Softcover reprint of the original 2nd ed. 1992
ISBN-13:	978-1-4612-7391-2
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	1-4612-7391-9
Barcode:	9781461273912

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