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Elements of Real Analysis by Shanti Narayan


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Elements of Real Analysis written by by Shanti Narayan, Formerly Dean of Colleges, University of Delhi, Delhi . This is an other book of mathematics cover the following topics.

  • 1. Sets and Functions

  • 2. The Real Numbers

  • 3. Neighbourhoods and Limit Points of a Set Open and Closed Sets

  • 4. Countability of Sets

  • 5. Sequences

  • 6. Infinite Series with Postive Terms

  • 7. Infinite Series with Postive Terms and Negative Series

  • 8. Real Functions Limit and Continuity

  • 9. Real Functions and The Derivative

  • 10. Mean Value Theorems

  • 11. Maxima and Minima

  • 12. Indeterminate Forms

  • 13. Reimann Integrability

  • 14. The Riemann Stieltjes Integral

  • 15. Uniform Convergence of Sequence and Series of Functions

  • 16. Improper Integrals17. Power Series

  • 18. Double Sequences and Series

  • 19. Metric Spaces

  • 20. Beta and Gamma Functions

  • 21. Differentation Under the Integral Sign

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