Modules / Lectures

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Sl.No | Chapter Name | English |
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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 | PDF unavailable |

56 | Lecture 28B: Fubini's Theorems | PDF unavailable |

57 | Lecture 29A: Lebesgue Measure and Integral on R2 | PDF unavailable |

58 | Lecture 29B: Lebesgue Measure and Integral on R2 | PDF unavailable |

59 | Lecture 30A: Properties of Lebesgue Measure on R2 | PDF unavailable |

60 | Lecture 30B: Properties of Lebesgue Measure on R2 | PDF unavailable |

61 | Lecture 31A: Lebesgue Integral on R2 | PDF unavailable |

62 | Lecture 31B: Lebesgue Integral on R2 | PDF unavailable |

Sl.No | Language | Book link |
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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 |