Undergraduate Texts in Mathematics
Charles H.C. Little
Kee L. Teo
Bruce van Brunt
Real Analysis
via Sequences
and Series
,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
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 appreciation
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
, Charles H.C. Little • Kee L. Teo • Bruce van Brunt
Real Analysis via Sequences
and Series
123
Charles H.C. Little
Kee L. Teo
Bruce van Brunt
Real Analysis
via Sequences
and Series
,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
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 appreciation
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
, Charles H.C. Little • Kee L. Teo • Bruce van Brunt
Real Analysis via Sequences
and Series
123
