| Module Name | Download | Description | Download Size |
|---|---|---|---|
| Introduction and classes of sets | Hand Notes L01 | Hand Notes L01 | 93 |
| Introduction and classes of sets | Hand Notes L02 | Hand Notes L02 | 167 |
| Introduction and classes of sets | Hand Notes L03 | Hand Notes L03 | 171 |
| Introduction and classes of sets | Hand Notes L04 | Hand Notes L04 | 138 |
| Measure | Hand Notes L05 | Hand Notes L05 | 115 |
| Measure | Hand Notes L06 | Hand Notes L06 | 119 |
| Measure | Hand Notes L07 | Hand Notes L07 | 113 |
| Measure | Hand Notes L08 | Hand Notes L08 | 143 |
| Extension of measures | Hand Notes L09 | Hand Notes L09 | 97 |
| Extension of measures | Hand Notes L10 | Hand Notes L10 | 100 |
| Extension of measures | Hand Notes L11 | Hand Notes L11 | 97 |
| The Lebesgue measure and its properties | Hand Notes L12 | Hand Notes L12 | 87 |
| The Lebesgue measure and its properties | Hand Notes L13 | Hand Notes L13 | 138 |
| Measurable functions | Hand Notes L14 | Hand Notes L14 | 151 |
| Measurable functions | Hand Notes L15 | Hand Notes L15 | 109 |
| Measurable functions | Hand Notes L16 | Hand Notes L16 | 136 |
| Integrations | Hand Notes L17 | Hand Notes L17 | 129 |
| Integrations | Hand Notes L18 | Hand Notes L18 | 116 |
| Integrations | Hand Notes L19 | Hand Notes L19 | 134 |
| Integrations | Hand Notes L20 | Hand Notes L20 | 115 |
| Integrations | Hand Notes L21 | Hand Notes L21 | 118 |
| Integrations | Hand Notes L22 | Hand Notes L22 | 85 |
| Integrations | Hand Notes L23 | Hand Notes L23 | 89 |
| Measure and integration on product spaces | Hand Notes L24 | Hand Notes L24 | 112 |
| Measure and integration on product spaces | Hand Notes L25 | Hand Notes L25 | 83 |
| Measure and integration on product spaces | Hand Notes L26 | Hand Notes L26 | 109 |
| Measure and integration on product spaces | Hand Notes L27 | Hand Notes L27 | 64 |
| Measure and integration on product spaces | Hand Notes L28 | Hand Notes L28 | 106 |
| Measure and integration on product spaces | Hand Notes L29 | Hand Notes L29 | 77 |
| Lebesgue measure on Rn | Hand Notes L30 | Hand Notes L30 | 116 |
| Lebesgue measure on Rn | Hand Notes L31 | Hand Notes L31 | 124 |
| Lebesgue measure on Rn | Hand Notes L32 | Hand Notes L32 | 104 |
| Lp-spaces | Hand Notes L33 | Hand Notes L33 | 143 |
| Lp-spaces | Hand Notes L34 | Hand Notes L34 | 100 |
| Lp-spaces | Hand Notes L35 | Hand Notes L35 | 118 |
| Special topics | Hand Notes L36 | Hand Notes L36 | 150 |
| Special topics | Hand Notes L37 | Hand Notes L37 | 50 |
| Special topics | Hand Notes L38 | Hand Notes L38 | 107 |
| Special topics | Hand Notes L39 | Hand Notes L39 | 86 |
| Special topics | Hand Notes L40 | Hand Notes L40 | 41 |
| Module Name | Download | Description | Download Size |
|---|---|---|---|
| Introduction and classes of sets | Exercises for Lecture 1-4 | Exercises for Lecture 1-4 | 88 |
| Measure | Exercises for Lecture 5-9 | Exercises for Lecture 5-9 | 80 |
| Extension of measures | Exercises for Lecture 10-13 | Exercises for Lecture 10-13 | 83 |
| Measurable functions | Exercises for Lecture14-16 | Exercises for Lecture14-16 | 70 |
| Integrations | Exercises for Lecture17-21 | Exercises for Lecture17-21 | 96 |
| Measure and integration on product spaces | Exercises for Lecture 24-32 | Exercises for Lecture 24-32 | 89 |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | L1- Introduction ,Extended Real numbers | PDF unavailable |
| 2 | L2-Algebra and Sigma Algebra of a subset of a set | PDF unavailable |
| 3 | L3-Sigma Algebra generated by a class | PDF unavailable |
| 4 | L4-Monotone Class | PDF unavailable |
| 5 | L5-Set function | PDF unavailable |
| 6 | L6-The Length function and its properties | PDF unavailable |
| 7 | L7-Countably additive set functions on intervals | PDF unavailable |
| 8 | L8-Uniqueness Problem for Measure | PDF unavailable |
| 9 | L9-Extension of measure | PDF unavailable |
| 10 | L10-Outer measure and its properties | PDF unavailable |
| 11 | L11-Measurable sets | PDF unavailable |
| 12 | L12-Lebesgue measure and its properties | PDF unavailable |
| 13 | L13-Characterization of Lebesque measurable sets | PDF unavailable |
| 14 | L14-Measurable functions | PDF unavailable |
| 15 | L15-Properties of measurable functions | PDF unavailable |
| 16 | L16-Measurable functions on measure spaces | PDF unavailable |
| 17 | L17-Integral of non negative simple measurable functions | PDF unavailable |
| 18 | L18-Properties of non negative simple measurable functions | PDF unavailable |
| 19 | L19-Monotone convergence theorem & Fatou's Lemma | PDF unavailable |
| 20 | L20-Properties of Integral functions & Dominated Convergence Theorem | PDF unavailable |
| 21 | L21-Dominated Convergence Theorem and applications | PDF unavailable |
| 22 | L22-Lebesgue Integral and its properties | PDF unavailable |
| 23 | L23-Denseness of continuous function | PDF unavailable |
| 24 | L24-Product measures, an Introduction | PDF unavailable |
| 25 | L25-Construction of Product Measure | PDF unavailable |
| 26 | L26-Computation of Product Measure-I | PDF unavailable |
| 27 | L27-Computation of Product Measure-II | PDF unavailable |
| 28 | L28-Integration on Product spaces | PDF unavailable |
| 29 | L29-Fubini's Theorems | PDF unavailable |
| 30 | L30-Lebesgue Measure and integral on R2 | PDF unavailable |
| 31 | L31-Properties of Lebesgue Measure and integral on Rn | PDF unavailable |
| 32 | L32-Lebesgue integral on R2 | PDF unavailable |
| 33 | L33-Integrating complex-valued functions | PDF unavailable |
| 34 | L34-Lp - spaces | PDF unavailable |
| 35 | L35-L2(X,S,mue) | PDF unavailable |
| 36 | L36-Fundamental Theorem of calculas for Lebesgue Integral-I | PDF unavailable |
| 37 | L37-Fundamental Theorem of calculus for Lebesgue Integral-II | PDF unavailable |
| 38 | L38-Absolutely continuous measures | PDF unavailable |
| 39 | L39-Modes of convergence | PDF unavailable |
| 40 | L40-Convergence in Measure | PDF unavailable |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Not Available |
| 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 |