Udemy - The Lebesgue Integral

  • Category Other
  • Type Tutorials
  • Language English
  • Total size 750.5 MB
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The Lebesgue Integral



https://FreeCourseWeb.com

Published 5/2023
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
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.

Files:

[ FreeCourseWeb.com ] Udemy - The Lebesgue Integral
  • Get Bonus Downloads Here.url (0.2 KB)
  • ~Get Your Files Here ! 1 - The Lebesgue Integral INTRODUCTION
    • 1 - Introduction to Simple Functions Characteristic Functions.mp4 (37.8 MB)
    • 2 - Lemma on Integral of Simple Function.mp4 (26.7 MB)
    • 3 - Proposition on simple Functions that vanish outside a set of Finite Measure.mp4 (38.9 MB)
    • 4 - Sufficient Condition for f to be Measurable.mp4 (69.0 MB)
    • 5 - Necessary Condition for f to be Measurable.mp4 (54.8 MB)
    2 - INTRODUCTION of Lebesgue Integral
    • 10 - Some More Properties of Lebesgue Integral.mp4 (34.3 MB)
    • 11 - BOUNDED CONVERGENCE THEOREM.mp4 (36.7 MB)
    • 6 - Introduction of Step Function.mp4 (33.8 MB)
    • 7 - Lebesgue Integral is the Generalization of Riemann Integral.mp4 (81.4 MB)
    • 8 - Prove that Given Function is Lebesgue integral but not Riemann Integral.mp4 (20.6 MB)
    • 9 - Properties of Lebesgue Integral.mp4 (57.1 MB)
    3 - The Integral of a NON NEGATIVE FUNCTION
    • 12 - The Integral of a Non Negative Function.mp4 (69.2 MB)
    • 13 - FATOUS LEMMA.mp4 (43.5 MB)
    • 14 - MONOTONE CONVERGENCE THEOREM.mp4 (45.7 MB)
    • 15 - Corollary of Monotone Convergence Theorem.mp4 (39.1 MB)
    • 16 - Proposition of non negative function for Disjoint sequence of Measurable Sets.mp4 (12.8 MB)
    • 17 - Definition of Non Negative Measurable Function Integrable over E.mp4 (15.4 MB)
    • 18 - Proposition of Non Negative Function f which is Integrable over a set E.mp4 (33.7 MB)
    • Bonus Resources.txt (0.4 KB)

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