Narayan, Shanti

Elements of real analysis : for B.A., B. Sc. and honours(mathematics and physics), M.A. and M. Sc. (mathematics) students of various Universities/Institutions as per UGC model carriculum and for I.A.S. and various other competitive examinations] ; [as per U.G.S. syllabus - New Delhi : S. Chand, 2009

includes index

1. Sets and functions
2. The real numbers
3. Neighborhoods and limit points of a set. Open and closed sets
4. Countability of sets
5. Sequences
6. Infinite series with positive germs
7. Infinite series with positive and negative terms
8. Real functions. Limit and continuity
9. Real functions. The derivative
10. Mean value theorems
11. Maxima and minima
12. Indeterminate forms
13. Riemann integrability
14. The riemann stieltjes integral
15. Uniform convergence of sequences and series of functions
16. Improper integrals
17. Power series
18. Double sequences and series
19. Metric spaces


8121903068


Mathematical analysis

515 / N2186