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Elements Of Real Anyalsis 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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