Real Analysis | Partitions and upper/lower sums.

preview_player
Показать описание
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.

If you are going to use an ad-blocker, considering using brave and tipping me BAT!

Books I like:

Abstract Algebra:

Differential Forms:

Number Theory:

Analysis:

Calculus:

My Filming Equipment:

Рекомендации по теме
Комментарии
Автор

Proud be one of the 100k subscribers. Awesome video btw.

aryanraina
Автор

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!

chriscontreraz
Автор

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!

punditgi
Автор

I subscribed already, your explanation is real, sir, !

SouthSudanCultureToYou-ixsu
Автор

Explanation with example is always pretty

sciencedreamz
Автор

The upper sum should be 59/4, right? 1+8+5+3/4?

LightPhoenix
Автор

Can't wait for proving various things about integration :D

hybmnzz
Автор

I feel silly for not getting this before, it's so simple haha Awesome video mate thanks a ton

Ruby-eqqg
Автор

How can we define the Riemann sum for a negative function?

u.bandara
Автор

is U(f, P) monotone when max{deltax_{i}} tends to zero?

personxy
Автор

First view, First comment. 91 K coming up

quantabot
Автор

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.

CM_France