| 1 - Introduction to Simple Functions Characteristic Functions.mp4 | 37.8 MB | ||
| 10 - Some More Properties of Lebesgue Integral.mp4 | 34.3 MB | ||
| 11 - BOUNDED CONVERGENCE THEOREM.mp4 | 36.7 MB | ||
| 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 | ||
| 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 MB | ||
| 5 - Necessary Condition for f to be Measurable.mp4 | 54.8 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 | ||
| Bonus Resources.txt | 409.6 B | ||
| Get Bonus Downloads Here.url | 204.8 B | ||
| ▲ 20 total files | |||
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.
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