文档介绍：Ethan D. Bloch
The Real Numbers
and Real Analysis
Ethan D. Bloch
Mathematics Department
Bard College
Annandale-on-Hudson, NY 12504
USA
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ISBN 978-0-387-72176-7 e-ISBN 978-0-387-72177-4
DOI -0-387-72177-4
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2011928556
Mathematics Subject Classification (2010): 26-01
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Dedicated to my two wonderful children Gil Nehemya and Ada Haviva,
for whom my love has no upper bound
Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
To the Student . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxi
To the Instructor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xxvii
1 Construction of the Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Entry 1: A