Analysis I Third Edition /
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book dis...
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| Language: | English |
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Singapore :
Springer Singapore : Imprint: Springer,
2016.
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| Edition: | 1st ed. 2016. |
| Series: | Texts and Readings in Mathematics,
37 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-981-10-1789-6 |
Table of Contents:
- Chapter 1. Introduction
- Chapter 2. Starting at the beginning: the natural numbers
- Chapter 3. Set theory
- Chapter 4. Integers and rationals
- Chapter 5. The real numbers
- Chapter 6. Limits of sequences
- Chapter 7. Series
- Chapter 8. Infinite sets
- Chapter 9. Continuous functions on R
- Chapter 10. Differentiation of functions
- Chapter 11. The Riemann integral. .