Real Analysis on Intervals
The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real worl...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New Delhi
Springer India
2014, 2014
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| Edition: | 1st ed. 2014 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Chapter 1. The Real Numbers
- Chapter 2. Limits of Real Sequences
- Chapter 3. The Euclidean Spaces RP and C
- Chapter 4. Numerical Series
- Chapter 5. Metric and Topology
- Chapter 6. Continuous Functions
- Chapter 7. Elementary Functions
- Chapter 8. Differential Calculus on R
- Chapter 9. The Riemann Integral
- Chapter 10. Improper Riemann Integrals
- Chapter 11. The Theory of Lebesgue Integral
- Chapter 12. Fourier Series
- Appendices