(Undergraduate Texts in Mathematics) Miklós Laczkovich, Vera T. Sós - Real Analysis Foundations and Functions of One Variable-Springer-Verlag New York (2015)

Undergraduate Texts in Mathematics
MiklósLaczkovich
VeraT.Sós
Real
Analysis
Foundations and Functions of One
Variable

Undergraduate Texts in Mathematics

Undergraduate Texts in Mathematics
Series Editors
Sheldon Axler
San Francisco State University, San Francisco, CA, USA
Kenneth Ribet
University of California, Berkeley, CA, USA
Advisory Board:
Colin Adams, Williams College
David A. Cox, Amherst College
Pamela Gorkin, Bucknell University
Roger E. Howe, Yale University
Michael Orrison, Harvey Mudd College
Lisette G. de Pillis, Harvey Mudd College
Jill Pipher, Brown University
Fadil Santosa, University of Minnesota
Undergraduate Texts in Mathematics are generally aimed at third- and fourth-
year undergraduate mathematics students at North American universities. These
texts strive to provide students and teachers with new perspectives and novel
approaches. The books include motivation that guides the reader to an apprecia-
tion of interrelations among different aspects of the subject. They feature examples
that illustrate key concepts as well as exercises that strengthen understanding.
More information about this series at http://www.springer.com/series/666

Mikl´ os Laczkovich •Vera T. S ´ os
Real Analysis
Foundations and Functions of One Variable
Fifth Edition
123

Mikl´ os Laczkovich
Department of Analysis
E¨ otv¨ os Lor´ and University
Budapest, Hungary
Ver a T. S ´ os
Alfr´ ed R´ enyi Institute of Mathematics
Hungarian Academy of Sciences
Budapest, Hungary
ISSN 0172-6056 ISSN 2197-5604 (electronic)
Undergraduate Texts in Mathematics
ISBN 978-1-4939-2765-4 ISBN 978-1-4939-2766-1 (eBook)
DOI 10.1007/978-1-4939-2766-1
Library of Congress Control Number: 2015938228
Springer New York Heidelberg Dordrecht London
1st edition: T. S´ os, Vera, Anal´ ızis I/1 © Nemzeti Tank¨ onyvkiad´ o, Budapest, 1972
2nd edition: T. S´ os, Vera, Anal´ ızis A/2 © Nemzeti Tank¨ onyvkiad´ o, Budapest, 1976
3rd edition: Laczkovich, Mikl´ os & T. S´ os, Vera: Anal´ ızis I © Nemzeti Tank¨ onyvkiad´ o, Budapest, 2005
4th edition: Laczkovich, Mikl´ os & T. S´ os, Vera: Anal´ ızis I © Typotex, Budapest, 2012
Translation from the Hungarian language 3rd edition: Val´ os anal´ ızis I by Mikl´ os Laczkovich
&T.S
´
os, Vera, © Nemzeti Tank¨ onyvkiad´ o, Budapest, 2005. All rights reserved © Springer 2015.
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