Elements Of Real Anyalsis (Paperback)

Elements Of Real Anyalsis Book Description

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 Curriculum and for I.A.S. and various other competitive examinations
Book Contents -
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 POSITIVE TERMS
7. INFINITE SERIES WITH POSITIVE AND NEGATIVE TERMS
8. REAL FUNCTIONS.LIMIT AND CONTINUITY
9. REAL FUNCTIONS. THE DERIVATIVE
10. MEAN VALUE THEOREM
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
INDEX

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