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Basic Real Analysis

Author(s): James S. Howland, University of Virginia
  • ISBN-13: 9780763773182
  • ISBN-10:0763773182
  • Hardcover    232 pages      © 2010
Price: $157.95 US List
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Part of the International Series in Mathematics

Ideal for the one-semester undergraduate course, Basic Real Analysis is intended for students who have recently completed a traditional calculus course and proves the basic theorems of Single Variable Calculus in a simple and accessible manner.  It gradually builds upon key material as to not overwhelm students beginning the course and becomes more rigorous as they progresses.  Optional appendices on sets and functions, countable and uncountable sets, and point set topology are included for those instructors who wish include these topics in their course.  The author includes hints throughout the text to help students solve challenging problems.  An online instructor's solutions manual is also available. 

Features & Benefits

Provides the appropriate level of content for the one-term course that is student friendly and accessible.

Paced at a level appropriate for a diverse group of learners.

Ideal as a supplement to a standard calculus sequence for instructors who would like to add more rigor to their course.

Appendices cover material on (a.) sets and functions, (b.) countable and uncountable sets, and (c.) point set topology.

Applicable Courses

Designed for an introductory course in Real Analysis and is also ideal as a secondary text in Calculus I/II courses.

1  Numbers
2  Limits
3  Continuity
4  Derivatives
5  Integrals
6  Infinite Series
7  Uniform Convergence
8  Power Series
9  Further Topics in Series
Appendix  A  Logic, Sets, and Functions
Appendix  B  The Topology of ·
Appendix  C  Recommended Reading

James S. Howland-University of Virginia

James S. Howland holds degrees from the University of Florida, the California Institute of Technology and a PhD in Mathematics from the University of California, Berkeley.  He is Professor Emeritus, and former chair of Mathematics at the University of Virginia.

He is the author of over 50 papers in the field of functional analysis and mathematical physics, and has served on the editorial boards of the Journal of Mathematical Physics and the Journal of Mathematical Analysis and Applications.

The author is currently Chairman of the Mathematics Department at Embry-Riddle Aeronautical University in Daytona Beach, FL.  He can be reached at

The following instructor resources are available to qualified instructors for download

ISBN-13: 9780763773182

Instructor's Solutions Manual