Introduction to Real Analysis
by Schramm, Michael J.Format: Paperback
Pub. Date: 2008-11-24
Publisher(s): Dover Publications
Other versions by this Author
List Price: $24.48
Buy New
Usually Ships in 2-3 Business Days.
$23.26
Rent Textbook
Select for Price
Rent Digital
$23.94
Used Textbook
We're Sorry
Sold Out
Summary
This text forms a bridge between courses in calculus and real analysis. It focuses on the construction of mathematical proofs as well as their final content. Suitable for upper-level undergraduates and graduate students of real analysis, it also provides a vital reference book for advanced courses in mathematics. 1996 edition.
Author Biography
Michael J. Schramm has a Ph.D. from Syracuse University.
Table of Contents
Preface
Part One: Preliminaries
Chapter 1. Building Proofs
Chapter 2. Finite, Infinite, and Even Bigger
Chapter 3. Algebra of the Real Numbers
Chapter 4. Ordering, Intervals, and Neighborhoods
Part Two: The Structure of the Real Number System
Chapter 5. Upper Bounds and Suprema
Chapter 6. Nested Intervals
Chapter 7. Cluster Points
Chapter 8. Topology of the Real Numbers
Chapter 9. Sequences
Chapter 10. Sequences and the Big Theorem
Chapter 11. Compact Sets
Chapter 12. Connected Sets
Part Three: Topics from Calculus
Chapter 13. Series
Chapter 14. Uniform Continuity
Chapter 15. Sequences and Series of Functions
Chapter 16. Differentiation
Chapter 17. Integration
Chapter 18. Interchanging Limit Processes
Part Four: Selected Shorts
Chapter 19. Increasing Functions
Chapter 20. Continuous Functions and Differentiability
Chapter 21. Continuous Functions and Integrability
Chapter 22. We Build the Real Numbers
References and further reading
Index
An electronic version of this book is available through VitalSource.
This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.
By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.
Digital License
You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.
More details can be found here.
A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.
Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.
Please view the compatibility matrix prior to purchase.