This is actually better than some modern introductions. Lebegue measure and integration fundamentally are not that hard to understand, but since in the US they are considered first year "graduate" material they tend to be introduced with unnecessarily dense approaches.
I think the video did an incredible job at highlighting the usefulness of and motivations for the Lesbesgue integral. But I can't relate on the unnecessarily dense point, maybe I just had a great teacher idk. Can you elaborate more on what you mean?
@@jersefrenzer1265 For anyone learning Real Analysis for the first time, typically you would start with measure theory, then onto the step functions but the reason for a Lebesgue Integral is usually not given, at least not graphically like the way Open University was done. In the Open course, they start measure theory only after understanding the goal of Lebesgue Integrals. This would be similar to starting off with Real Analysis and teaching the Real Analysis version of derivatives to a high school junior or senior in AP calculus--tried it, doesn't work.
@@francismcdonnell8149 via BBC "The Open University first broadcast on 3 January 1971 on BBC Two. The new university reached out to its first students through the innovative use of television and radio, and swiftly proved that it was possible to teach university level subjects to unqualified students at a distance. After a general introduction, the first programme was an introduction to mathematics. Open University programmes were on at odd corners of the schedule, heralded by the animated OU logo and fanfare - the opening of Divertimento for Three Trumpets and Three Trombones by Leonard Salzedo. Many people who were not OU students saw them, and the broadcasts gained a frequently parodied reputation for dated style and awkward presentation. This was because there was insufficient money to update them unless the course itself was revised, and the presenters were academics rather than broadcasters. However, over 2 million people have benefitted from OU courses. In 2006 the late night teaching ended, replaced by other teaching methods such as DVD and the internet. Today the Open University make programmes of general interest through a successful partnership with the BBC. Programmes such as The Money Programme and the award winning Coast are made to inspire an interest in lifelong learning in the viewer."
Wow! This is a rave from the grave :-) Absolutely fascinating to see The Dr Who style graphics in the Black and White of The UK's TV in the early 70's. I would have liked that they had spent tad more time on the 4th section however. I think that that was a crucial point not to be rushed. I just dug out an old book 'A First Course In Integration' by Edgar Asplund and Lutz Bungart. I laugh at the use of 'the first' in its title. It is a very enjoyable book and ideal for anyone looking deeper into Lebesgue Integration. I wouldalso absolutely recomend the beautiful book' Lebesgue Integration and Measure' by Weir, Alan J. I found the latter helped me with the former. This video re-energised some old brain cells long out of use :-)
This is awesome. I've been wanting to understand Lesbegue integration for years! And now i do. Beautiful exposition. 100xs better than all the other clips out there!😁🙋💈🙏
Wow!! I would love to see all of these! This is the best explanation I have ever seen. Complete with great stylized Venn diagrams: it's like watching Sesame Street, but for geeky adults :-)
Did my maths masters at imperial and this was 1000 better explained compared to a resentful drunk Russian genius who couldn't comprehend how stupid we all were
I didn't 'make' this obviously. If you enjoy these vintage courses they are available on the Internet Archive under "@educational_progs" also there is UA-cam channel that has aggregrated a good amount here titled "Nyima" under the handle @kenneth1519. MIT actually has some vintage lectures too (e.g. by Herb Grossman but also some engineering courses). I have a playlist for misc. vintage talks and lectures (not full courses) too.
This wonderful guy was born in the 1930s. Not a baby boomer. In any case, the decade you happen to be born in is irrelevant to almost everything you can control in your life.
> BBC rules prevent staff joining LGBT pride marches > BBC platforming a *literal Jew-hating Nazi* to talk about trans people being evil hmmmmmmm. Yeah I am going to say that your post is wildly inaccurate, but ok!
It kind of feels like a 60s version of 3blue1brown
Because it kind of is, I guess.
This is actually better than some modern introductions. Lebegue measure and integration fundamentally are not that hard to understand, but since in the US they are considered first year "graduate" material they tend to be introduced with unnecessarily dense approaches.
I think the video did an incredible job at highlighting the usefulness of and motivations for the Lesbesgue integral.
But I can't relate on the unnecessarily dense point, maybe I just had a great teacher idk. Can you elaborate more on what you mean?
@@jersefrenzer1265 For anyone learning Real Analysis for the first time, typically you would start with measure theory, then onto the step functions but the reason for a Lebesgue Integral is usually not given, at least not graphically like the way Open University was done. In the Open course, they start measure theory only after understanding the goal of Lebesgue Integrals. This would be similar to starting off with Real Analysis and teaching the Real Analysis version of derivatives to a high school junior or senior in AP calculus--tried it, doesn't work.
@@jersefrenzer1265I think they may be alluding to constructing the lesbesgue measure space on R
This is "Open University" which taught university classes via television !
@@francismcdonnell8149
via BBC
"The Open University first broadcast on 3 January 1971 on BBC Two. The new university reached out to its first students through the innovative use of television and radio, and swiftly proved that it was possible to teach university level subjects to unqualified students at a distance. After a general introduction, the first programme was an introduction to mathematics.
Open University programmes were on at odd corners of the schedule, heralded by the animated OU logo and fanfare - the opening of Divertimento for Three Trumpets and Three Trombones by Leonard Salzedo. Many people who were not OU students saw them, and the broadcasts gained a frequently parodied reputation for dated style and awkward presentation.
This was because there was insufficient money to update them unless the course itself was revised, and the presenters were academics rather than broadcasters. However, over 2 million people have benefitted from OU courses.
In 2006 the late night teaching ended, replaced by other teaching methods such as DVD and the internet. Today the Open University make programmes of general interest through a successful partnership with the BBC. Programmes such as The Money Programme and the award winning Coast are made to inspire an interest in lifelong learning in the viewer."
It’s like our modern slides, but done right.
Wow! This is a rave from the grave :-) Absolutely fascinating to see The Dr Who style graphics in the Black and White of The UK's TV in the early 70's. I would have liked that they had spent tad more time on the 4th section however. I think that that was a crucial point not to be rushed. I just dug out an old book 'A First Course In Integration' by Edgar Asplund and Lutz Bungart. I laugh at the use of 'the first' in its title. It is a very enjoyable book and ideal for anyone looking deeper into Lebesgue Integration. I wouldalso absolutely recomend the beautiful book' Lebesgue Integration and Measure' by Weir, Alan J. I found the latter helped me with the former. This video re-energised some old brain cells long out of use :-)
The best explanation I have ever met about Lebesgue integral.
This video is so amazingly good. I feel like I understood this course finally after watching this video.
This is really well put together. I understood the general idea of the lesbeque integral for the first time. Thanks for uploading!
Agreed
This is awesome. I've been wanting to understand Lesbegue integration for years! And now i do. Beautiful exposition. 100xs better than all the other clips out there!😁🙋💈🙏
Tks from Brasil ❤
How did anyone find this archived video? It's awesome!
Same, I would like to these types of videos.
@@NaN_000 @athallahaziz1941 see my reply to @user-ky9qn4pg3w
@@a-guess-at-the-riddleAwesome lecture! I've always been curious about lebesgue integration 😁🙋💈🙏
Wow!! I would love to see all of these! This is the best explanation I have ever seen. Complete with great stylized Venn diagrams: it's like watching Sesame Street, but for geeky adults :-)
Absolutely 😁🙋💈🙏
Very good video, excited to watch the rest.
Brilliant!! This is awesome!
very nice video, but I don't understand how the boa snake after devouring an elephant correlates to the topic. it's at 23:30
It's clearly a hat
My favorite reference on the internet
Wow, this is the best explanation ever
Supper clear explanation! Thank you~
Wow, this is really good!!!
Increíble
Where can I find the Beamer theme used in this video (including the gallop background sound)? 😁
I have never seen this explained clearly before.
Awesome!
This is the algorithm of 1/3 - 2/3 conjecture.
Did my maths masters at imperial and this was 1000 better explained compared to a resentful drunk Russian genius who couldn't comprehend how stupid we all were
The good old days
Different university, same experience : D
remarkable
Awesome
please make some more videos!
I didn't 'make' this obviously. If you enjoy these vintage courses they are available on the Internet Archive under "@educational_progs" also there is UA-cam channel that has aggregrated a good amount here titled "Nyima" under the handle @kenneth1519. MIT actually has some vintage lectures too (e.g. by Herb Grossman but also some engineering courses). I have a playlist for misc. vintage talks and lectures (not full courses) too.
@@a-guess-at-the-riddle thanks
I wanna see this video now even more
So we're not talking about the haircuts and the glasses they were rocking on set, or are we? 0.0
The best thing I've seen from boomers
This wonderful guy was born in the 1930s. Not a baby boomer. In any case, the decade you happen to be born in is irrelevant to almost everything you can control in your life.
Would be better with Krell music
hi
Step 4 isn't really explained in a good way. The rest is awesome!
Ah the power of gray... ❤
From a more civilised age, when mathematicians dressed properly and didn’t just look like drug dealers or skateboarding people
Back when teachers actually taught and didnt just try to show off by using complex jargon like eric weinstein
Back when the BBC was a real broadcaster and not a political propaganda machine for Iran
BBC then - 🧠🗿👨🔬
BBC now - 🏳🌈
Thank you for this. It made my day :)
I love how greasy incels who think STEM is homophobic and therefore good, are also completely inept in STEM.
> BBC rules prevent staff joining LGBT pride marches
> BBC platforming a *literal Jew-hating Nazi* to talk about trans people being evil
hmmmmmmm. Yeah I am going to say that your post is wildly inaccurate, but ok!
That is what happens when you only focus on money.
?