文档介绍：Problems in Real Analysis
Teodora-Liliana T. Radulescu˘
Vicen¸tiuD. Radulescu˘
Titu Andreescu
Problems in Real Analysis
Advanced Calculus on the Real Axis
Teodora-Liliana T. Radulescu˘ Vicen¸tiuD. Radulescu˘
Department of Mathematics Simion Stoilow Mathematics Institute
Fratii Buzesti National College Romanian Academy
Craiova 200352 Bucharest 014700
Romania Romania
teodoraradulescu@ vicentiu.******@
Titu Andreescu
School of Natural Sciences and Mathematics
University of Texas at Dallas
Richardson, TX 75080
USA
titu.******@
ISBN: 978-0-387-77378-0 e-ISBN: 978-0-387-77379-7
DOI: -0-387-77379-7
Springer Dordrecht Heidelberg London New York
Library of Congress Control Number: 2009926486
Mathematics Subject Classification (2000): 00A07, 26-01, 28-01, 40-01
© Springer Science+Business Media, LLC 2009
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY
10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection
with any form of information storage and retrieval, electronic adaptation, computer software, or by similar
or dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are
not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject
to proprietary rights.
Printed on acid-free paper
Springer is part of Springer Science+Business Media ()
To understand mathematics means to be able
to do mathematics. And what does it mean
doing mathematics? In the first place it
means to be able to solve mathematical
problems.
—e P´olya (1887–1985)
e nearest to the great when we are
great in humility.
—Rabindranath Tagore (1861–1941)
Foreword
This carefully