Complex Analysis

  • Rolf Busam
  • Eberhard Freitag

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages 1-7
  2. Eberhard Freitag, Rolf Busam
    Pages 1-7
  3. Eberhard Freitag, Rolf Busam
    Pages 1-60
  4. Eberhard Freitag, Rolf Busam
    Pages 1-33
  5. Eberhard Freitag, Rolf Busam
    Pages 1-88
  6. Eberhard Freitag, Rolf Busam
    Pages 1-59
  7. Eberhard Freitag, Rolf Busam
    Pages 1-65
  8. Eberhard Freitag, Rolf Busam
    Pages 1-63
  9. Eberhard Freitag, Rolf Busam
    Pages 1-68
  10. Eberhard Freitag, Rolf Busam
    Pages 1-59
  11. Back Matter
    Pages 1-23

About this book

Introduction

The idea of this book is to give an extensive description of the classical complex analysis, here ''classical'' means roughly that sheaf theoretical and cohomological methods are omitted.

The first four chapters cover the essential core of complex analysis presenting their fundamental results. After this standard material, the authors step forward to elliptic functions and to elliptic modular functions including a taste of all most beautiful results of this field. The book is rounded by applications to analytic number theory including distinguished pearls of this fascinating subject as for instance the Prime Number Theorem. Great importance is attached to completeness, all needed notions are developed, only minimal prerequisites (elementary facts of calculus and algebra) are required.

More than 400 exercises including hints for solutions and many figures make this an attractive, indispensable book for students who would like to have a sound introduction to classical complex analysis.

For the second edition the authors have revised the text carefully.

Keywords

Complex Analysis Elliptic Functions Elliptic Modular Forms Minimum Modular form Residue theorem calculus

Authors and affiliations

  • Rolf Busam
  • Eberhard Freitag

There are no affiliations available

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-93983-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-93982-5
  • Online ISBN 978-3-540-93983-2
  • About this book