Complex Analysis

2. Auflage 2009
ISBN: 978-3-540-93982-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 532 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 814 g

Reihe: Universitext

This indispensable book provides an extensive description of classical complex analysis. The authors begin with an introduction to complex analysis that presents the fundamental results, followed by elliptic functions and elliptic modular functions. The book is rounded by excursions to analytic number theory. Great importance is attached to completeness in the sense that all needed notions are developed. More than 400 exercises with hints for solutions are included.

Zielgruppe

Graduate

Autoren/Hrsg.

Busam, Rolf

Freitag, Eberhard

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

Differential Calculus in the Complex Plane C.- Integral Calculus in the Complex Plane C.- 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.