Author

Publication

2011 - Springer, Heidelberg

Language

English

Word Count

126,500 words, Guess

Page Count

506 pages

Identifiers

and 1 more

Classifications

  • LCCQA331.7 .F74 2011

Description

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.

Subjects

Series Statement

  • Universitext

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