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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
Call Number:Libro Electrónico
Main Authors: Choudary, A. D. R. (Author), Niculescu, Constantin P. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New Delhi : Springer India : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Subjects:
Online Access:Texto Completo
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.