| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Lecture 1A: Introduction, Extended Real Numbers | Download |
| 2 | Lecture 1B: Introduction, Extended Real Numbers | Download |
| 3 | Lecture 2A: Algebra and Sigma Algebra of Subsets of a Set | Download |
| 4 | Lecture 2B: Algebra and Sigma Algebra of Subsets of a Set | Download |
| 5 | Lecture 3A: Sigma Algebra generated by a Class | Download |
| 6 | Lecture 3B: Sigma Algebra generated by a Class | Download |
| 7 | Lecture 4A: Monotone Class | Download |
| 8 | Lecture 4B: Monotone Class | Download |
| 9 | Lecture 5A: Set Functions | Download |
| 10 | Lecture 5B: Set Functions | Download |
| 11 | Lecture 6A: The Length Function and its Properties | Download |
| 12 | Lecture 6B: The Length Function and its Properties | Download |
| 13 | Lecture 7A: Countably Additive Set Functions on Intervals | Download |
| 14 | Lecture 7B: Countably Additive Set Functions on Intervals | Download |
| 15 | Lecture 8A: Uniqueness Problem for Measure | Download |
| 16 | Lecture 8B: Uniqueness Problem for Measure | Download |
| 17 | Lecture 9A: Extension of Measure | Download |
| 18 | Lecture 9B: Extension of Measure | Download |
| 19 | Lecture 10A: Outer Measure and its Properties | Download |
| 20 | Lecture 10B: Outer Measure and its Properties | Download |
| 21 | Lecture 11A: Measurable Sets | Download |
| 22 | Lecture 11B: Measurable Sets | Download |
| 23 | Lecture 12A: Lebesgue Measure and its Properties | Download |
| 24 | Lecture 12B: Lebesgue Measure and its Properties | Download |
| 25 | Lecture 13A: Characterization of Lebesgue Measurable Sets | Download |
| 26 | Lecture 13B: Characterization of Lebesgue Measurable Sets | Download |
| 27 | Lecture 14A: Measurable Functions | Download |
| 28 | Lecture 14B: Measurable Functions | Download |
| 29 | Lecture 15A: Properties of Measurable Functions | Download |
| 30 | Lecture 15B: Properties of Measurable Functions | Download |
| 31 | Lecture 16A: Measurable Functions on Measure Spaces | Download |
| 32 | Lecture 16B: Measurable Functions on Measure Spaces | Download |
| 33 | Lecture 17A: Integral of Nonnegative Simple Measurable Functions | Download |
| 34 | Lecture 17B: Integral of Nonnegative Simple Measurable Functions | Download |
| 35 | Lecture 18A: Properties of Nonnegative Simple Measurable Functions | Download |
| 36 | Lecture 18B: Properties of Nonnegative Simple Measurable Functions | Download |
| 37 | Lecture 19A: Monotone Convergence Theorem and Fatou's Lemma | Download |
| 38 | Lecture 19B: Monotone Convergence Theorem and Fatou's Lemma | Download |
| 39 | Lecture 20A: Properties of Integrable Functions and Dominated Convergence Theorem | Download |
| 40 | Lecture 20B: Properties of Integrable Functions and Dominated Convergence Theorem | Download |
| 41 | Lecture 21A: Dominated Convergence Theorem and Applications | Download |
| 42 | Lecture 21B: Dominated Convergence Theorem and Applications | Download |
| 43 | Lecture 22A: Lebesgue Integral and its Properties | Download |
| 44 | Lecture 22B: Lebesgue Integral and its Properties | Download |
| 45 | Lecture 23A: Product Measure, an Introduction | Download |
| 46 | Lecture 23B: Product Measure, an Introduction | Download |
| 47 | Lecture 24A: Construction of Product Measures | Download |
| 48 | Lecture 24B: Construction of Product Measures | Download |
| 49 | Lecture 25A: Computation of Product Measure - I | Download |
| 50 | Lecture 25B: Computation of Product Measure - I | Download |
| 51 | Lecture 26A: Computation of Product Measure - II | Download |
| 52 | Lecture 26B: Computation of Product Measure - II | Download |
| 53 | Lecture 27A: Integration on Product Spaces | Download |
| 54 | Lecture 27B: Integration on Product Spaces | Download |
| 55 | Lecture 28A: Fubini's Theorems | Download |
| 56 | Lecture 28B: Fubini's Theorems | Download |
| 57 | Lecture 29A: Lebesgue Measure and Integral on R2 | Download |
| 58 | Lecture 29B: Lebesgue Measure and Integral on R2 | Download |
| 59 | Lecture 30A: Properties of Lebesgue Measure on R2 | Download |
| 60 | Lecture 30B: Properties of Lebesgue Measure on R2 | Download |
| 61 | Lecture 31A: Lebesgue Integral on R2 | Download |
| 62 | Lecture 31B: Lebesgue Integral on R2 | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Lecture 1A: Introduction, Extended Real Numbers | Download Verified |
| 2 | Lecture 1B: Introduction, Extended Real Numbers | Download Verified |
| 3 | Lecture 2A: Algebra and Sigma Algebra of Subsets of a Set | Download Verified |
| 4 | Lecture 2B: Algebra and Sigma Algebra of Subsets of a Set | Download Verified |
| 5 | Lecture 3A: Sigma Algebra generated by a Class | Download Verified |
| 6 | Lecture 3B: Sigma Algebra generated by a Class | Download Verified |
| 7 | Lecture 4A: Monotone Class | Download Verified |
| 8 | Lecture 4B: Monotone Class | Download Verified |
| 9 | Lecture 5A: Set Functions | Download Verified |
| 10 | Lecture 5B: Set Functions | Download Verified |
| 11 | Lecture 6A: The Length Function and its Properties | Download Verified |
| 12 | Lecture 6B: The Length Function and its Properties | Download Verified |
| 13 | Lecture 7A: Countably Additive Set Functions on Intervals | Download Verified |
| 14 | Lecture 7B: Countably Additive Set Functions on Intervals | Download Verified |
| 15 | Lecture 8A: Uniqueness Problem for Measure | Download Verified |
| 16 | Lecture 8B: Uniqueness Problem for Measure | Download Verified |
| 17 | Lecture 9A: Extension of Measure | Download Verified |
| 18 | Lecture 9B: Extension of Measure | Download Verified |
| 19 | Lecture 10A: Outer Measure and its Properties | Download Verified |
| 20 | Lecture 10B: Outer Measure and its Properties | Download Verified |
| 21 | Lecture 11A: Measurable Sets | Download Verified |
| 22 | Lecture 11B: Measurable Sets | Download Verified |
| 23 | Lecture 12A: Lebesgue Measure and its Properties | Download Verified |
| 24 | Lecture 12B: Lebesgue Measure and its Properties | Download Verified |
| 25 | Lecture 13A: Characterization of Lebesgue Measurable Sets | Download Verified |
| 26 | Lecture 13B: Characterization of Lebesgue Measurable Sets | Download Verified |
| 27 | Lecture 14A: Measurable Functions | Download Verified |
| 28 | Lecture 14B: Measurable Functions | Download Verified |
| 29 | Lecture 15A: Properties of Measurable Functions | Download Verified |
| 30 | Lecture 15B: Properties of Measurable Functions | Download Verified |
| 31 | Lecture 16A: Measurable Functions on Measure Spaces | Download Verified |
| 32 | Lecture 16B: Measurable Functions on Measure Spaces | Download Verified |
| 33 | Lecture 17A: Integral of Nonnegative Simple Measurable Functions | Download Verified |
| 34 | Lecture 17B: Integral of Nonnegative Simple Measurable Functions | Download Verified |
| 35 | Lecture 18A: Properties of Nonnegative Simple Measurable Functions | Download Verified |
| 36 | Lecture 18B: Properties of Nonnegative Simple Measurable Functions | Download Verified |
| 37 | Lecture 19A: Monotone Convergence Theorem and Fatou's Lemma | Download Verified |
| 38 | Lecture 19B: Monotone Convergence Theorem and Fatou's Lemma | Download Verified |
| 39 | Lecture 20A: Properties of Integrable Functions and Dominated Convergence Theorem | Download Verified |
| 40 | Lecture 20B: Properties of Integrable Functions and Dominated Convergence Theorem | Download Verified |
| 41 | Lecture 21A: Dominated Convergence Theorem and Applications | Download Verified |
| 42 | Lecture 21B: Dominated Convergence Theorem and Applications | Download Verified |
| 43 | Lecture 22A: Lebesgue Integral and its Properties | Download Verified |
| 44 | Lecture 22B: Lebesgue Integral and its Properties | Download Verified |
| 45 | Lecture 23A: Product Measure, an Introduction | Download Verified |
| 46 | Lecture 23B: Product Measure, an Introduction | Download Verified |
| 47 | Lecture 24A: Construction of Product Measures | Download Verified |
| 48 | Lecture 24B: Construction of Product Measures | Download Verified |
| 49 | Lecture 25A: Computation of Product Measure - I | Download Verified |
| 50 | Lecture 25B: Computation of Product Measure - I | Download Verified |
| 51 | Lecture 26A: Computation of Product Measure - II | Download Verified |
| 52 | Lecture 26B: Computation of Product Measure - II | Download Verified |
| 53 | Lecture 27A: Integration on Product Spaces | Download Verified |
| 54 | Lecture 27B: Integration on Product Spaces | Download Verified |
| 55 | Lecture 28A: Fubini's Theorems | Download Verified |
| 56 | Lecture 28B: Fubini's Theorems | Download Verified |
| 57 | Lecture 29A: Lebesgue Measure and Integral on R2 | Download Verified |
| 58 | Lecture 29B: Lebesgue Measure and Integral on R2 | Download Verified |
| 59 | Lecture 30A: Properties of Lebesgue Measure on R2 | Download Verified |
| 60 | Lecture 30B: Properties of Lebesgue Measure on R2 | Download Verified |
| 61 | Lecture 31A: Lebesgue Integral on R2 | Download Verified |
| 62 | Lecture 31B: Lebesgue Integral on R2 | Download Verified |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Download |
| 2 | Bengali | Not Available |
| 3 | Gujarati | Not Available |
| 4 | Hindi | Not Available |
| 5 | Kannada | Not Available |
| 6 | Malayalam | Not Available |
| 7 | Marathi | Not Available |
| 8 | Tamil | Not Available |
| 9 | Telugu | Not Available |