Riemann Surfaces

Name: Riemann Surfaces
Price: 109.81 USD
Availability: InStock
ISBN: 9780387977034

ISBN-10: 0387977031

ISBN-13: 9780387977034

Edition: 2nd 1992 (Revised)

Authors: Hershel M. Farkas, Irwin Kra, J. H. Ewing, F. W. Gehring, P. R. Halmos

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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. Basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the Abelian varities associated with these surfaces. 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. Alternate proofs for the most important results…

Book details

List price: $109.99
Edition: 2nd
Copyright year: 1992
Publisher: Springer New York
Publication date: 12/23/1991
Binding: Hardcover
Pages: 366
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 3.498
Language: English




An Overview



Riemann Surfaces



Existence Theorems.



Compact Riemann Surfaces



Uniformization


Automorphisms of Compact Surfaces--Elementary Theory



Theta Functions



Examples