Real Analysis Course #2 - Bounds and the Supremum (Infimum)

In our 2nd video on Real Analysis we will be looking at bounds and a very important boundary - the supremum (infimum). These bounds are very special and are sure to come up again!

#realanalysis #brithemathguy #math

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.

[BriTheMathGuy]

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[BrainGainzOfficial]

Another definition for supremum that I like a lot is: it's an upper bound, and if you subtract any epsilon greater than zero from it, it's no longer an upper bound.

[Kleinian]

Please continue these videos! I will be taking real analysis next semester and it would really help me get a good start in understanding some of the more basic things, thank you.

[arielcamacho]

Took Real Analysis long time ago. It was so obscure for me. Really interested in following this series: clear and concise explanations. Completeness: here we go!

[MathTube]

This is the most appreciable content... talking about real analysis ❤️

[TheJProductins]

I'm taking Real analysis right now for my summer semester. I am terrified. I hope these videos give me guidance! Thank you!

[tomashuizar]

This is bringing back so many good memories!!!!

[detectivetacox]

Taking Real Analysis now using Jay Cummings and Rudin Book. Keep up the videos.

[Anna-jycj]

Hey, your content is highly appreciated, please keep it up :)

[kelvinthehuman]

Greetings from the Dominican Republic to BritTheMathGuy....Great job!!

[mariamary]

This is really helpful for Function of Single Variables

[joimemok]

I would like to know if B* is within the ordered set S or not?. Thanks

[islulison]

how can there be multiple upper bounds or lower bounds to define a supremum or infimum?

[gerryg]

hi can you do an episode on all the equivalent axioms?