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文档介绍

文档介绍:Undergraduate Texts in Mathematics
Undergraduate Texts in Mathematics
Series Editors:
Sheldon Axler
San Francisco State University, San Francisco, CA, USA
h Ribet
University of California, Berkeley, CA, USA
Advisory Board:
Colin C. Adams, Williams College, Williamstown, MA, USA
Alejandro Adem, University of British Columbia, Vancouver, BC, Canada
Ruth Charney, Brandeis University, Waltham, MA, USA
Irene M. Gamba, The University of Texas at Austin, Austin, TX, USA
Roger E. Howe, Yale University, New Haven, CT, USA
David Jerison, Massachusetts Institute of Technology, Cambridge, MA, USA
Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI, USA
Jill Pipher, Brown University, Providence, RI, USA
Fadil Santosa, University of Minnesota, Minneapolis, MN, USA
Amie Wilkinson, University of Chicago, Chicago, IL, USA
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 appreciation of interrela-
tions among different aspects of the subject. They feature examples that illustrate key
concepts as well as exercises that strengthen understanding.
For further volumes:
ies/666
h A. Ross
Elementary Analysis
The Theory of Calculus
Second Edition
In collaboration with Jorge M. Lopez,´ University of
Puerto Rico, R´ıo Piedras
123
h A. Ross
Department of Mathematics
University of Oregon
Eugene, OR, USA
ISSN 0172-6056
ISBN 978-1-4614-6270-5 ISBN 978-1-4614-6271-2 (eBook)
DOI -1-4614-6271-2
Springer New York Heidelberg Dordrecht London
Library of Congress Control Number: 2013950414
Mathematics Subject Classification: 26-01, 00-01, 26A06, 26A24, 26A27, 26A42
© Springer Science+Business Media New York 2013
This work is subject to copyright. All rights are reserved by the Publisher, whethe