Real Analysis on Intervals

• Main Authors: Choudary, A. D. R. (Author), Niculescu, Constantin P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New Delhi : Springer India : Imprint: Springer, 2014.
• Subjects: Mathematics.; Fourier analysis.; Integral equations.; Integral transforms.; Operational calculus.; Integral Equations.; Integral Transforms, Operational Calculus.; Fourier Analysis.

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...

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.