Fr. 52.90

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

English · Paperback / Softback

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Description

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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.

List of contents

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

About the author

Prof. Dr. Ingo Lieb ist Professor für Mathematik an der Universität Bonn. Er ist Autor der beiden Bücher "Funktionentheorie" und "Ausgewählte Kapitel aus der Funktionentheorie" in der Reihe vieweg studium/Aufbaukurs Mathematik.

Foreword

Complex Analysis for Bachelor and Master Studies

Product details

Authors Wolfgan Fischer, Wolfgang Fischer, Ingo Lieb
Assisted by Jan Cannizzo (Translation)
Publisher Vieweg+Teubner
 
Languages English
Product format Paperback / Softback
Released 18.10.2011
 
EAN 9783834815767
ISBN 978-3-8348-1576-7
No. of pages 272
Weight 448 g
Illustrations VIII, 272 p. 21 illus.
Subject Natural sciences, medicine, IT, technology > Mathematics > Analysis

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