Complex analysis 2: Riemann surfaces, several complex variables, Abelian functions, higher modular functions

The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be found in the ¯rst volume. There is no comparable treatment inthe literature. All needed notions are developed within the book with the exception of fundamentals, which are presented in introductory lectures; no other knowledge isassumed. Provides a more in-depth introduction to the subject than other existing books in this area. Many exercises including hints for solutions are included. INDICE: Chapter I. Riemann Surfaces. Chapter II. Harmonic Functions on Riemann Surfaces. Chapter III. Uniformization. Chapter IV. Compact Riemann Surfaces. Appendices to Chapter IV. Chapter V. Analytic Functions of Several ComplexVariables. Chapter V. Analytic Functions of Several Complex Variable. ChapterVI. Abelian Functions. Chapter VII. Modular Forms of Several Variables. Chapter VIII. Appendix: Algebraic Tools. References. Index.

• ISBN: 978-3-642-20553-8
• Editorial: Springer Berlin Heidelberg
• Encuadernacion: Rústica
• Páginas: 523
• Fecha Publicación: 01/06/2011
• Nº Volúmenes: 1
• Idioma: Inglés