Real Analysis 48 | Riemann Integral - Partitions
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- เผยแพร่เมื่อ 13 ต.ค. 2024
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This is my video series about Real Analysis. We talk about sequences, series, continuous functions, differentiable functions, and integral. I hope that it will help everyone who wants to learn about it.
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You really help me understand this subject. My only regret is that I didn't discover you sooner!
Thank you very much :)
If I recall correctly all you have to do to give the Riemann integral more power than Lebesque is to allow the widths of the partitioning of the domain to depend on x when taking the limit. The concept was developed Ralph Henstock. But the Lebesque intergal is nicer to work with when the domain is complicated (multi-dimensional or not R).
To be honest, I don't know this Henstock partition idea. Do you have a good reference for this?
Honestly thankful for the series.. went 😂 to class and all I could recall is how clearly you explained everything
I always wondered what analysis II is about and how is it studied, thanks!
The lecture is so crystal clear and to the point ❤
Thanks a lot :) And thanks for your support!
you deserve alot more recognition for your work! I'm glad you chose to educate others
Glad you think so! :)
And thanks for your support :)
More good material! Thanks 😊
It becomes very simple when you teaching that
Thanks! That was my goal :)
At 4:25 you mentioned that you have lessons on Lebesque integral as separate series. Which series cover that topic?
Measure Theory :)
Hier you can find it: thebrightsideofmathematics.com/measure_theory/overview/
@@brightsideofmaths Thanks a lot. I wish I had access to these material before starting my PhD! I am sure these material will help so many of those desperate people along their projects!
Does this lesson, Reimann integral, apply in Real analysis II? I hope that makes sense. Thank you.
Was this shot in OneNote? :)
No :)
@@brightsideofmaths :O on what then?
@@AlvaroALorite Xournal :)
@@brightsideofmaths which mic you use? Your voice sound so soothing
respect
Thanks :D
صوتو حلو 🤦🏻♀️😂.
Please work on your pronunciation I can't concentrate
Haha, I already do that :)