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Complex Analysis 2

Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions

By Eberhard Freitag

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This extensive description of classical complex analysis omits sheaf theoretical and cohomological methods to focus on the full quota of essential concepts related to the topic. Lots of exercises and figures make it an ideal introduction to the subject.

Full Description

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  • ISBN13: 978-3-6422-0553-8
  • 519 Pages
  • Publication Date: June 10, 2011
  • Available eBook Formats: PDF
Full Description
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 in the literature.
Table of Contents

Table of Contents

  1. Chapter I. Riemann Surfaces.
  2. Chapter II. Harmonic Functions on Riemann Surfaces.
  3. Chapter III. Uniformization.
  4. Chapter IV. Compact Riemann Surfaces.
  5. Appendices to Chapter IV.
  6. Chapter V. Analytic Functions of Several Complex Variables.
  7. Chapter V. Analytic Functions of Several Complex Variable.
  8. Chapter VI. Abelian Functions.
  9. Chapter VII. Modular Forms of Several Variables.
  10. Chapter VIII. Appendix: Algebraic Tools.
  11. References.
  12. Index.

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