A Course in Complex Analysis: From Basic Results to Advanced Topics - Softcover

Fischer, Wolfgang

Softcover

ISBN 10: 3834815764 ISBN 13: 9783834815767

Publisher: Springer, 2011

Synopsis

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.

About this title

About the Author

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

From the Back Cover

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.

Content
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

Readership
Advanced undergraduates (bachelor students) and beginning graduate students (master's programme)
Lecturers in mathematics
About the authors
Professor Dr. Ingo Lieb, Department of Mathematics, University of Bonn
Professor Dr. Wolfgang Fischer, Department of Mathematics, University of Bremen

Edition details

• Publisher: Springer
• Publication date: 2011
• Language: English
• ISBN 10: 3834815764
• ISBN 13: 9783834815767
• Binding: Paperback
• Number of pages: 280