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Mathematical Analysis I , Zorich

Mathematical Analysis I , Zorich,An entire generation of mathematicians has grown up during the time between the appearance of the first edition of this textbook and the publication of the fourth edition, a translation of which is before you. The book is familiar to many people, who either attended the lectures on which it is based or studied out of it, and who now teach others in universities all over the world. I am glad that it has become accessible to English-speaking readers.
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Universitext

Springer
Berlin
Heidelberg
New
York
Hong Kong
London
Milan
Paris
Tokyo

Vladimir
A.
Zorich
Mathematical
Analysis
I
B@|
Springer

Vladimir A. Zorich
Moscow State University
Department of Mathematics (Mech-Math)
Vorobievy Gory
119992 Moscow
Russia
Translator:
Roger Cooke
Burlington, Vermont
USA
e-mail:
cooke@emba.uvm.edu
Title of Russian edition:
Matematicheskij Analiz (Part 1,4th corrected edition, Moscow, 2002)
MCCME (Moscow Center for Continuous Mathematical Education Publ.)
Cataloging-in-Publication Data applied for
A catalog record for this book is available from the Library of Congress.
Bibliographic information published by Die Deutsche Bibliothek
Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie;
detailed bibliographic data is available in the Internet at http://dnb.ddb.de
Mathematics Subject Classification
(2000):
Primary
00A05
Secondary: 26-01,40-01,42-01,54-01,58-01
ISBN 3-540-40386-8 Springer-Verlag Berlin Heidelberg New York
This work is subject to copyright. All rights are reserved, whether the whole or part of the
material is concerned, specifically the rights of translation, reprinting, reuse of illustrations,
recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data
banks. Duplication of this publication or parts thereof
is
permitted only under the provisions
of the German Copyright Law of September 9,1965, in its current version, and permission
for use must always be obtained from Springer-Verlag. Violations are liable for prosecution
under the German Copyright Law.
Springer-Verlag is a part of Springer Science* Business Media
springeronline.com
© Springer-Verlag Berlin Heidelberg 2004
Printed in Germany
The use of general descriptive names, registered names, trademarks, etc. in this publication
does not imply, even in the absence of
a
specific statement, that such names are exempt from
the relevant protective laws and regulations and therefore free for general use.
Cover design: design
&
production GmbH, Heidelberg
Typeset by the translator using a Springer ETgX macro package
Printed on acid-free paper 46/3indb- 5432
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