Limits A New Approach to Real Analysis
Broadly speaking, analysis is the study of limiting processes such as sum ming infinite series and differentiating and integrating functions, and in any of these processes there are two issues to consider; first, there is the question of whether or not the limit exists, and second, assuming that it...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1997, 1997
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| Edition: | 1st ed. 1997 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Foundations
- 1 Sets and Functions
- 2 Real and Complex Numbers
- II Limits
- 3 Limits
- 4 Bisection Arguments
- 5 Infinite Series
- 6 Periodic Functions
- III Analysis
- 7 Sequences
- 8 Continuous Functions
- 9 Derivatives
- 10 Integration
- 11 ?, ?, e, and n!
- Appendix: Mathematical Induction
- References