Measure Theory -Lec05- Frederic Schuller

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

[jessedaas]

This guy clearly knows his stuff. He has the theory so well under controle that he was able to realise quantum telportation at 26:51

[jelmar]

God have mercy on the poor souls that are destined to live on planet earth without ever coming in contact with these amazing lectures

[burakcopur]

I wish this guy uploaded more of his lecture videos.

[jimnewton]

It is important! hence it is defined that way.

[patrickcrosby]

This lecture stands on its own! Great intro to probability theory as well!The sigma algebra stuff is crucial!

[tim-cca]

He is the guy that I really learn push forward and pullback from. The teaching of this professor is natural and I like it so much

[Nathsnirlgrdgg]

I loved this, first thorough introduction to measure theory I've ever had

[jackozeehakkjuz]

It's funny how this video in particular among a the other ones in the playlist has a lot of views. I guess it's because there really are not many (if at all) good introductions to measure theory available.
I mean, this lecture was very illuminating for me, since I never really unterstood what the Lebesgue integral was.

[koojakeoung]

I sometimes ask myself what is a measurable set. He said
57:00 What is a measurable set? Don't ask it, you should ask what is mesurable space? and the elements are called mesurable sets.

[KemonoFren]

Sublimely insightful lecture. I understood everything after the professor presented it. He commands respect.

[SonjaGiselaCox]

{ {\emptyset}, {1, 2}, {3, 4}, {2, 3}, {1, 4}, {1, 2, 3, 4}}

a sigma-algebra. Note that this set is not closed under intersections.

[lugia]

These videos helped me complete my PhD for math. Thank you so much

[achiltsompanos]

The prof is a treasure. He knows the subjects in a far greater depth than the one he chooses to teach.

[millerfour]

21:42, 34:58, 37:18, 40:18, 44:48, 49:45, 56:36, 1:04:27, 1:14:09, 1:17:12, 1:32:17, 1:39:13

[jandejongh]

Thanks professor! Really enjoyed yet another great lecture!

Just a small and humble notice: In the context of "almost everywhere / almost surely": The subset A of M for which the statement does NOT hold is not necessarily measurable itself. Yet this subset A has to be subset of a null set (event), i.e., of a measurable subset of M with zero measure (probability).


Also, I often find a finite measure space being defined as one that (simply) has \mu(X) < \infty. Your definition seems to refer to a \sigma-finite measure (space).


I'm far from an expert, and probably wrong, but maybe someone can shed a light on this in the comments.

[rektator]

In standard mathematics you don't define the Lebesgue measurable sets as only the Borel sets of R^n because otherwise you can have sets that are subsets of 0-sets that are not measurable. Standard is that you use the completion of Borel sets.

[reinerwilhelms-tricarico]

1:03:00 Memo: all you need to know for the Lebesgue measure you already learned in kindergarten .

[irelandrone]

The best explanation of Borel sigma-algebra ever !! Suggest some Measure theory Book Mr. Fredric!

[bappaichotu]

Dear professor why do u teach so well. I envy how lucky ur students are to have u as instructor

[liamhoward]

This guy is one of the best lecturers I have ever seen