Motivation for Lebesgue-Stieltjes Measures | Motivation | Measure Theory

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We learn about Borel and in particular Lebesgue-Stieltjes measures in the real numbers.

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Timestamps in this video:

0:00 Introduction.
00:03 Summary so far.
00:19 Definition: Borel measures.
01:05 Motivation.
04:35 h-Intervals.
05:16 Creating the premeasure.
06:27 Creating the measure.
07: 20 Lebesgue-Stieltjes measures.
09:07 Conclusion.

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I am so happy that i found these lecture series on Measure theory.You explain everything really well.
Please do more content.

tahminachowdhury
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I think you missed intervals of the type (a, b] when defining h-intervals. Also could you please explain why we need *disjoint* unions for the algebra?

themptytree
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Love it. U make it so understandable. I have a request. Please upload lectures of this book as early as u can. Ur lectures are my only hope to pass my smester. Please

momentwithaffan