Complex Analysis 2 Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions /

The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This mot...

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Bibliographic Details
Main Author: Freitag, Eberhard (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Series:Universitext,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary:The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory of higher modular functions.
Physical Description:XIII, 506 p. 51 illus. online resource.
ISBN:9783642205545
ISSN:0172-5939