Elements Of Real Anyalsis

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Product Specifications

Publisher SChand Publications All M.A - Master of Arts books by SChand Publications
ISBN 9788121903066
Author: M D Raisinghania
Number of Pages 744
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Elements Of Real Anyalsis
Book Summary:

References to the latest papers of various universities and GATE have been inserted at proper places. More additional problems have been inserted in almost each chapter of this book. New topics have been inserted in some chapters. I hope that these changes will make the material of this book more useful to the reader

Key Features:

The main features of the book are as follows:

1. The book contains some examples and exercises meant only to help a proper undertaking of the text.

2. The book also seeks to adopt comparatively more modern notation for the subject.

Table of Contents:

1. SETS AND FUNCTIONS

2. THE REAL NUMBERS

3. NEIGHBOURHOODS AND LIMIT POINTS OF A SET

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 THEOREMS

11. MAXIMA AND MINIMA

12. INDETERMINATE FORMS

13. RIEMANN INTEGRABILITY

14. THE RIEMANN STIELTJES INTEGRA

15. UNIFORM CONVERGENCE OF SEQUENCES

16. IMPROPER INTEGRALS

17. POWER SERIES

18. DOUBLE SEQUENCES AND SERIES 

19. METRIC SPACES

20. BETA AND GAMMA FUNCTIONS

21. DIFFERENTIATION UNDER THE INTEGRAL SIGN

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