Complex Analysis

• Main Authors: Freitag, Eberhard (Author), Busam, Rolf (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Universitext
• Subjects: Mathematics.; Functions of complex variables.; Functions of a Complex Variable.

The guiding principle of this presentation of ``Classical Complex Analysis'' is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary fac...

Table of Contents:

• Differential Calculus in the Complex Plane ?
• Integral Calculus in the Complex Plane ?
• Sequences and Series of Analytic Functions, the Residue Theorem
• Construction of Analytic Functions
• Elliptic Functions
• Elliptic Modular Forms
• Analytic Number Theory
• Solutions to the Exercises.