A Course in Complex Analysis | Taschenbuch

Cover: 9783834815767 | A Course in Complex Analysis | From Basic Results to Advanced Topics

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Professor Dr. Wolfgang Fischer, University of Bremen, Faculty 3 - Mathematics

Professor Dr. Ingo Lieb, University of Bonn, Mathematical Institute

Zusammenfassung

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.

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2011
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	viii 272 S. 21 s/w Illustr. 272 p. 21 illus.
ISBN-13:	9783834815767
ISBN-10:	3834815764
Sprache:	Englisch
Herstellernummer:	85047081
Einband:	Kartoniert / Broschiert
Autor:	Fischer, Wolfgang Lieb, Ingo
Übersetzung:	Cannizzo, Jan
Hersteller:	Vieweg & Teubner Vieweg+Teubner Verlag
Verantwortliche Person für die EU:	Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Str. 46, D-65189 Wiesbaden, juergen.hartmann@springer.com
Maße:	240 x 168 x 16 mm
Von/Mit:	Wolfgang Fischer (u. a.)
Erscheinungsdatum:	10.10.2011
Gewicht:	0,475 kg

Artikel-ID: 106820614

Über den Autor

Professor Dr. Wolfgang Fischer, University of Bremen, Faculty 3 - Mathematics

Professor Dr. Ingo Lieb, University of Bonn, Mathematical Institute

Zusammenfassung

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.

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2011
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	viii 272 S. 21 s/w Illustr. 272 p. 21 illus.
ISBN-13:	9783834815767
ISBN-10:	3834815764
Sprache:	Englisch
Herstellernummer:	85047081
Einband:	Kartoniert / Broschiert
Autor:	Fischer, Wolfgang Lieb, Ingo
Übersetzung:	Cannizzo, Jan
Hersteller:	Vieweg & Teubner Vieweg+Teubner Verlag
Verantwortliche Person für die EU:	Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Str. 46, D-65189 Wiesbaden, juergen.hartmann@springer.com
Maße:	240 x 168 x 16 mm
Von/Mit:	Wolfgang Fischer (u. a.)
Erscheinungsdatum:	10.10.2011
Gewicht:	0,475 kg