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Udemy - The Lebesgue Integral
TORRENT SUMMARY
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Language: English | Size: 750.53 MB | Duration: 3h 21m
The Lebesgue Integral, Simple Functions, Non-Negative Functions
What you'll learn
The Lebesgue Integral plays an important role in probability theory, real analysis, and many other fields in Mathematics.
Furthermore, The Lebesgue Integral can define the integral in a completely abstract setting, giving rise to probability theory.
Advantages of Lebesgue theory over Riemann theory: 1. Can integrate more functions (on finite intervals). 2. Good convergence theorems.
In the study of Fourier series, Fourier transforms, and other topics, the Lebesgue integral is better able to describe how and when it is possible to take limit
Requirements
Basic knowledge of Riemann Integration and Basic concepts of sequence and series with Limits.
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FILE LIST
Filename
Size
~Get Your Files Here !/1 - The Lebesgue Integral INTRODUCTION/1 - Introduction to Simple Functions Characteristic Functions.mp4
37.8 MB
~Get Your Files Here !/1 - The Lebesgue Integral INTRODUCTION/2 - Lemma on Integral of Simple Function.mp4
26.7 MB
~Get Your Files Here !/1 - The Lebesgue Integral INTRODUCTION/3 - Proposition on simple Functions that vanish outside a set of Finite Measure.mp4
38.9 MB
~Get Your Files Here !/1 - The Lebesgue Integral INTRODUCTION/4 - Sufficient Condition for f to be Measurable.mp4
69 MB
~Get Your Files Here !/1 - The Lebesgue Integral INTRODUCTION/5 - Necessary Condition for f to be Measurable.mp4
54.8 MB
~Get Your Files Here !/2 - INTRODUCTION of Lebesgue Integral/10 - Some More Properties of Lebesgue Integral.mp4
34.3 MB
~Get Your Files Here !/2 - INTRODUCTION of Lebesgue Integral/11 - BOUNDED CONVERGENCE THEOREM.mp4
36.7 MB
~Get Your Files Here !/2 - INTRODUCTION of Lebesgue Integral/6 - Introduction of Step Function.mp4
33.8 MB
~Get Your Files Here !/2 - INTRODUCTION of Lebesgue Integral/7 - Lebesgue Integral is the Generalization of Riemann Integral.mp4
81.4 MB
~Get Your Files Here !/2 - INTRODUCTION of Lebesgue Integral/8 - Prove that Given Function is Lebesgue integral but not Riemann Integral.mp4
20.6 MB
~Get Your Files Here !/2 - INTRODUCTION of Lebesgue Integral/9 - Properties of Lebesgue Integral.mp4
57.1 MB
~Get Your Files Here !/3 - The Integral of a NON NEGATIVE FUNCTION/12 - The Integral of a Non Negative Function.mp4
69.2 MB
~Get Your Files Here !/3 - The Integral of a NON NEGATIVE FUNCTION/13 - FATOUS LEMMA.mp4
43.5 MB
~Get Your Files Here !/3 - The Integral of a NON NEGATIVE FUNCTION/14 - MONOTONE CONVERGENCE THEOREM.mp4
45.7 MB
~Get Your Files Here !/3 - The Integral of a NON NEGATIVE FUNCTION/15 - Corollary of Monotone Convergence Theorem.mp4
39.1 MB
~Get Your Files Here !/3 - The Integral of a NON NEGATIVE FUNCTION/16 - Proposition of non negative function for Disjoint sequence of Measurable Sets.mp4
12.8 MB
~Get Your Files Here !/3 - The Integral of a NON NEGATIVE FUNCTION/17 - Definition of Non Negative Measurable Function Integrable over E.mp4
15.4 MB
~Get Your Files Here !/3 - The Integral of a NON NEGATIVE FUNCTION/18 - Proposition of Non Negative Function f which is Integrable over a set E.mp4
