Real Analysis 52 | Riemann Integral - Examples

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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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#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)
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[@wtt274]

Excellent explanation ! Thank you sir .

[@mr.petersen7150]

I'm taking a foundations of analysis course and I'm struggling to understand the content, so in searching I found your videos "among others, but yours being particularly enlightening". With that said, do you have a preferred textbook for learning real analysis that you could recommend? Your videos are helping me succeed as a better person, I honestly cant thank you enough Sir!

[@brightsideofmaths]

I don't have a preferred text book but I really like Introductory Real Analysis by A. N. Kolmogorov; S.V. Fomin.

[@mathswithbuka5365]

Awesome Explanation!!!! Now i understand what my lecturer has been saying. Thank you!

[@brightsideofmaths]

Thank you very much :)

[@jecodedoncjesuis875]

Thank you for what you are doing.

[@brightsideofmaths]

My pleasure! :)

[@evionlast]

This is almost the end in a real analysis course, what's the direction next? I have enjoyed this series very much rewatched a few episodes to remind me a few important points.

[@brightsideofmaths]

There is still a lot to cover about the Riemann integral. However, after this, my Real Analysis course ends. Other (related) topics will be discussed in another series :)

[@evionlast]

@@brightsideofmaths it's been an absolute Joy I'll continue with complex analysis, another outstanding series, recommended.

[@brightsideofmaths]

@@evionlast Thanks :)

[@megavarshinim4157]

can u do multivariable calculus ,partial Derivatives and Tangent Plane also plz

[@mastershooter64]

first :) will you cover the riemann stieljes integral? (not sure if that was the correct spelling for steljes)

[@brightsideofmaths]

I think that the Lebesgue-Stieltjes integral is more useful and I already explained this in my Measure Theory series :)

[@wejt5454]

Hello, what software do you use for these videos?

[@brightsideofmaths]

The free and perfect program Xournal :)

[@wejt5454]

@@brightsideofmaths thank you very much for your response!