Real Analysis 48 | Riemann Integral - Partitions

📝 Find more here: tbsom.de/s/ra
👍 Support the channel on Steady: steadyhq.com/en/brightsideofm...
Other possibilities here: tbsom.de/sp
You can also support me via PayPal: paypal.me/brightmaths (Use "For friends and family" as payment type)
Or via Ko-fi: ko-fi.com/thebrightsideofmath...
Or via Patreon: / bsom
Or via other methods: thebrightsideofmathematics.co...
Please consider to support me if this video was helpful such that I can continue to produce them :)
Each supporter gets access to the additional material. If you need more information, just send me an email: tbsom.de/s/mail
Watch the whole video series about Real Analysis and download PDF versions, quizzes and exercises: tbsom.de/s/ra
Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: tbsom.de/s/subscribe
🌙 There is also a dark mode version of this video: • Real Analysis 48 | Rie...
🔆 There is also a bright mode version of this video: • Real Analysis 48 | Rie...
🔆 To find the KZbin-Playlist, click here for the bright version: • Real Analysis
🌙 And click here for the dark version of the playlist: • Real Analysis [dark ve...
🙏 Thanks to all supporters! They are mentioned in the credits of the video :)
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.
x
#RealAnalysis
#Mathematics
#Calculus
#LearnMath
#Integrals
#Derivatives
I hope that this helps students, pupils and others. Have fun!
(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
For questions, you can contact me: steadyhq.com/en/backend/messa...

[@garrettstandifird6080]

You really help me understand this subject. My only regret is that I didn't discover you sooner!

[@brightsideofmaths]

Thank you very much :)

[@Heremyadress]

you deserve alot more recognition for your work! I'm glad you chose to educate others

[@brightsideofmaths]

Glad you think so! :) And thanks for your support :)

[@punditgi]

More good material! Thanks 😊

[@tshedisehangkhitshane9811]

Honestly thankful for the series.. went 😂 to class and all I could recall is how clearly you explained everything

[@123sendodo4]

I always wondered what analysis II is about and how is it studied, thanks!

[@DanielJanzon]

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).

[@brightsideofmaths]

To be honest, I don't know this Henstock partition idea. Do you have a good reference for this?

[@rubabgull05]

The lecture is so crystal clear and to the point ❤

[@brightsideofmaths]

Thanks a lot :) And thanks for your support!

[@lawrencecataylo7712]

Does this lesson, Reimann integral, apply in Real analysis II? I hope that makes sense. Thank you.

[@user-zh7ly4br6r]

It becomes very simple when you teaching that

[@brightsideofmaths]

Thanks! That was my goal :)

[@sinanakhostin6604]

At 4:25 you mentioned that you have lessons on Lebesque integral as separate series. Which series cover that topic?

[@brightsideofmaths]

Measure Theory :)

[@brightsideofmaths]

Hier you can find it: thebrightsideofmathematics.com/measure_theory/overview/

[@sinanakhostin6604]

@@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!

[@geryyose5110]

respect

[@brightsideofmaths]

Thanks :D

[@AlvaroALorite]

Was this shot in OneNote? :)

[@brightsideofmaths]

No :)

[@AlvaroALorite]

@@brightsideofmaths :O on what then?

[@brightsideofmaths]

@@AlvaroALorite Xournal :)

[@ksbmaths7685]

​@@brightsideofmaths which mic you use? Your voice sound so soothing

[@user-ob2xc1fk3p]

صوتو حلو 🤦🏻‍♀️😂.

[@user-km5wt6jx8x]

Please work on your pronunciation I can't concentrate

[@brightsideofmaths]

Haha, I already do that :)