Book Details
Format
Hardback or Cased Book
Book Series
Graduate Texts in Mathematics
ISBN-10
0387977031
ISBN-13
9780387977034
Edition
Second Edition 1992
Publisher
Springer-Verlag New York Inc.
Imprint
Springer-Verlag New York Inc.
Country of Manufacture
US
Country of Publication
GB
Publication Date
Dec 23rd, 1991
Print length
366 Pages
Weight
732 grams
Dimensions
24.00 x 15.80 x 2.70 cms
Product Classification:
Complex analysis, complex variables
Ksh 17,350.00
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Covers Riemann surface theory from elementary aspects to the frontiers of research. This book treats open and closed surfaces with emphasis on the compact case, and develops basic tools developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities.
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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