Real Analysis on Intervals

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...

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Bibliographic Details
Published in:Springer eBooks
Main Authors: Choudary, A. D. R. (Author), Niculescu, Constantin P. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New Delhi : Springer India : Imprint: Springer, 2014.
Subjects:
mathematics.
Fourier analysis.
Integral equations.
Integral Transforms.
Mathematics.
Integral Equations.
Integral Transforms, Operational Calculus.
Fourier Analysis.
Online Access:http://dx.doi.org/10.1007/978-81-322-2148-7
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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.

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