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This book has been revised thoroughly. Almost in all the chapters, articles and solved and unsolved problems have been added to meet the requirement .... Read More
This book has been revised thoroughly. Almost in all the chapters, articles and solved and unsolved problems have been added to meet the requirement of various universities
| Sr | Chapter Name | No Of Page |
|---|---|---|
| 1 | PREREQUISITES | 14 |
| 2 | COUNTABILITY OF SETS AND CARDINAL NUMBERS | 20 |
| 3 | OPEN SETS AND CLOSED SETS ON THE REAL LINE | 9 |
| 4 | LEBESGUE MEASURE ON THE REAL LINE | 34 |
| 5 | OUTER MEASURE AND MEASURABILITY | 21 |
| 6 | MEASURABLE FUNCTIONS | 19 |
| 7 | THE LEBESGUE INTEGRAL OF A FUNCTION | 43 |
| 8 | CONVERGENCE OF SEQUENCES OF MEASURABLE FUNCTIONS | 29 |
| 9 | DIFFERENTIATION AND INTEGRATION | 45 |
| 10 | Lp –SPACES | 26 |
| 11 | SIGNED MEASURE | 16 |
| 12 | PRODUCT MEASURE | 5 |
| 13 | BASIC INTEGRALS | 12 |
| 14 | CONTINUITY (Continued) | 10 |
| 15 | MEASURABLE FUNCTIONS AND THEIR INTEGRALS (Continued) | 17 |
| 16 | EXTENSION OF THE LEBESGUE INTEGRAL | 10 |
| 17 | WEIERSTRASS APPROXIMATION, PICARD’S EXISTENCE AND ARZELA THEOREMS | 11 |
| 18 | FOURIER SERIES | 11 |
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