Real Analysis | Partitions and upper/lower sums.
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- เผยแพร่เมื่อ 13 ต.ค. 2024
- We begin our exploration of integration and integrability by looking at the notion of a partition of an interval and the corresponding upper and lower sum of a function with respect to this partition.
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Proud be one of the 100k subscribers. Awesome video btw.
Bro, I literally stumbled upon your channel on the last week of my Real Analysis course. I wish I found you at the beginning instead. Good video!
Currently in the last week of real analysis and JUST found his channel ahhhhh
I hope the Darboux integrsl shows up somewhere along the line in these videos since it fits in perfectly with upper and lower sums. But then we we will need a proof of the Extreme Value Theorem. Can't wait for that one!
I subscribed already, your explanation is real, sir,!
Explanation with example is always pretty
What a clear explanation.
The upper sum should be 59/4, right? 1+8+5+3/4?
8:30 1/2x2+2x4+5x1 = 14 not 13 so yes?
well he said that it is pretty difficult calculation...
wonderful explanation❤
What a legendary dude
Can't wait for proving various things about integration :D
I feel silly for not getting this before, it's so simple haha Awesome video mate thanks a ton
I love this series.
so helpful!! thank you!
Lovely peesentation. Very nice
Great video. Thank you
8:56 I guess?
Maybe in the next video..?
How can we define the Riemann sum for a negative function?
is U(f,P) monotone when max{deltax_{i}} tends to zero?
Cool
nice
First view, First comment. 91 K coming up
Nice good
Hi,
For fun:
1:10 : wouhah! Wouhah!
4 "let's may be go ahead and",
1 "great",
1 "ok, great",
and no good place to stop.
Noiice
Hello I am from india🇮🇳