Real Analysis via Sequences and Series
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisti...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- 1. Introduction
- 2. Sequences
- 3. Series
- 4. Limits of Functions
- 5. Continuity
- 6. Differentiability
- 7. The Riemann Integral
- 8. Taylor Polynomials and Taylor Series
- 9. The Fixed Point Problem
- 10. Sequences of Functions
- Bibliography
- Index