Real Analysis Part 6 (THE LEBESGUE INTEGRAL)
The Lebesgue Integral, Simple Functions, Non-Negative Functions
29
students
3.5 hours
content
Jul 2024
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$19.99
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What you will 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
5349820
udemy ID
5/27/2023
course created date
7/6/2023
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