文档介绍:Wolfgang Fischer | Ingo Lieb
A Course plex Analysis
Wolfgang Fischer | Ingo Lieb
A Course in
Complex Analysis
From Basic Results to Advanced Topics
TEXTBOOK
Bibliographic information published by the Deutsche Nationalbibliothek
The Deutsche Nationalbibliothek lists this publication in the Deutsche Nationalbibliografie;
detailed bibliographic data are available in the at -.
Prof. Dr. Wolfgang Fischer
University of Bremen
Faculty 3 - Mathematics
Bibliothekstraße 1
D-28359 Bremen
Germany
******@-
Prof. Dr. Ingo Lieb
University of Bonn
Mathematical Institute
Endenicher Allee 60
D-53115 Bonn
Germany
******@-
Large parts of this text are translated from the book Fischer, W./Lieb, I.: Einführung in die Komplexe
Analysis, Vieweg+Teubner Verlag, 2010.
Translation: Jan Cannizzo
1st Edition 2012
All rights reserved
© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH 2012
Editorial Office: Ulrike Schmickler-Hirzebruch | Barbara Gerlach
Vieweg+Teubner Verlag is a brand of Springer Fachmedien.
Springer Fachmedien is part of Springer Science+Business Media.
No part of this publication may be reproduced, stored in a retrieval system or trans-
mitted, in any form or by any means, electronic, mechanical, photo copying, recor-
ding, or otherwise, without the prior written permission of the copyright holder.
Registered and/or industrial names, trade names, trade descriptions etc. cited in this publication are
part of the law for trade-mark protection and may not be used free in any form or by any means even
if this is not specifically marked.
Cover design: KünkelLopka Medienentwicklung, Heidelberg
pany: AZ Druck und Datentechnik, Berlin
Printed on acid-free paper
Printed in Germany
ISBN 978-3-8348-1576-7
Preface
Among the most important tools of mathematics are the elementary functions – ratio-
nal, trigonometric, hyperbolic and exponential functions, logar