Wolfgang Fischer, Ingo Lieb

A Course in Complex Analysis (eBook, PDF)

From Basic Results to Advanced Topics
Übersetzer: Cannizzo, Jan

• Format: PDF

Produktbeschreibung

This carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem ...) and - a new feature in this context! - to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authors' German text "Einführung in die komplexe Analysis"; some material was added from the by now almost "classical" text "Funktionentheorie" written by the authors, and a few paragraphs were newly written for special use in a master's programme.

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Produktdetails

• Verlag: Vieweg+Teubner Verlag
• Seitenzahl: 272
• Erscheinungstermin: 21. Oktober 2011
• Englisch
• ISBN-13: 9783834886613
• Artikelnr.: 37399253

Autorenporträt

Professor Dr. Wolfgang Fischer, University of Bremen, Faculty 3 - Mathematics Professor Dr. Ingo Lieb, University of Bonn, Mathematical Institute

Inhaltsangabe

Analysis in the complex plane
The fundamental theorems of complex analysis
Functions on the plane and on the sphere
Integral formulas, residues and applications
Non
elementary functions
Meromorphic functions of several variables
Holomorphic maps: Geometric aspects