Integration of measurable functions - Lec06 - Frederic Schuller

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This is from a series of lectures - "Lectures on Quantum Theory" delivered by Dr.Frederic P Schuller

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I tried to self study and different videos, your explanation is sooo clear and easy to understand, wish I could attend your

shuaiwang

It is important to notice that the pointwise supremum of nonnegative measurable functions is also a nonnegative measurable function and this allows you to integrate it.

mathjitsuteacher

Such a great lecture. Absolute clarity in all of the explanations

jean-pierrecoffe

Hölders and Cauchys inequality should both be multiplications and not additions.

lordeuler

That was maybe the best explanation I have ever heard of the quotient space. Brilliant work!

Afxonidis

Wonderful teachig style with sufficient content covered less than 2 hours. Thank you sir.

RudranarayanPadhy-xg

Greatest mathphysics on line, and loved the student interaction.

timelsen

The clarity of Schuller's explanation is amazing.

circuithead

Such a clear lecturer. Makes the difficult easy. Many thanks.

stefanogioberti

35:06 the measure of the pre image of z? Shouldn't it be the measure of the pre image of [z, infinity) ?
Anyway, he is easily the best math teacher I've ever seen in my math learning journey.

jwp

This really is a great video, I'll definitely watch more of your lectures! Helped me a lot, thanks.

AmatisoveLove

At 1:09:43, (ii) lim \int |fn-f| = 0, not only finite. (corrected)
At 1:11:11 it can be R bar, with infinity since f, g are integrable, and therefore \int f is finite by definition.

tim-cca

Amazing lectures. Is there a textbook(s) for this course?

wenzhang

Dear Dr. i glads to follow such interesting lecture ...really really it was nice lecture. before this lecture i am not familiar with this concept after following your lecture things was clear for me thank you very much.keep it up

sisayketema

I was the one who could be easily mislead by this. I haven’t taken measure theory formally, but need to learn more for my upcoming program in finance! You’re series is definitely unambiguously presenting the math, and I won’t say that about anything else I’ve come across. Any book recommendations?

Anthony-dbou

1:20:50 Progress to the direction of Hilbert and Banach spaces... and why this matters when one does solid state physics!

ΣτέργιοςΚατσογιάννης

Very clear. The set of your mistakes has measure zero.

tim-cca

Just a remark teacher chaucy inequality with product not a sum : |<f, g>|<=||f||.||g|| and also Holder inquality

abdellatifelgrou

25:03, 42:35, 1:12:28 (35:58), 1:25:17, 1:32:00, 1:35:10, 1:38:38, 1:44:03, 1:48:48

millerfour

Why is the singleton {s_i} measurable, since a singleton in the standard topology is not open and therefore also not an element of the sigma-algebra?

michielsnoeken

Integration of measurable functions - Lec06 - Frederic Schuller

Integration of measurable functions - Lec06 - Frederic Schuller

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