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

Fischer, Wolfgang

Brossura

ISBN 10: 3834815764 ISBN 13: 9783834815767

Casa editrice: Vieweg+Teubner Verlag, 2011

Riassunto

Complex Analysis for Bachelor and Master Studies

Su questo libro

Informazioni sugli autori

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


Wolfgang Weißbach, lngenieur und langjähriger Fachschullehrer, ist heute auf die Weitergabe von Wissen und Erfahrung in Fachbüchern spezialisiert. Mitarbeiter Prof. Dr.-Ing. Michael Dahms lehrt Werkstofftechnik an der FH Flensburg.

Dalla quarta di copertina

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

Dettagli dell?edizione

• Editore: Vieweg+Teubner Verlag
• Data di pubblicazione: 2011
• ISBN 10: 3834815764
• ISBN 13: 9783834815767
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 280
• Contatto del produttore: {language_tag:it_IT,value:"Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com"}