How We Got from There to Here A Story of Real Analysis
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view,...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Place of publication not identified]
Open SUNY
[2014]
|
| Series: | Open textbook library.
|
| Subjects: | |
| Online Access: | Access online version |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- 1 Numbers, Real (R) and Rational (Q)
- 2 Calculus in the 17th and 18th Centuries
- 3 Questions Concerning Power Series
- 4 Convergence of Sequences and Series
- 5 Convergence of the Taylor Series: A “Tayl” of Three Remainders
- 6 Continuity: What It Isn't and What It Is
- 7 Intermediate and Extreme Values
- 8 Back to Power Series
- 9 Back to the Real Numbers