I totally missed the backflips on my algebraic number theory course
@walidabdelal
3 жыл бұрын
Great effort Michale! This channel is of the greatest help to me and many others.
@darrenpeck156
4 жыл бұрын
I think you must promise to your subscribers that even if your research takes over, you will still teach on this incredible channel!!! Thank you!!!
@maheenrahim58
Жыл бұрын
Your videos have motivated me to keep pushing and nail this course on number theory! Thank youu. Nice back flip, btw!
@mateuscaracciolo5365
4 жыл бұрын
Such a clean and beautiful explanation. Great video!!
@MichaelPennMath
4 жыл бұрын
Thanks so much!
@georgesadler7830
2 жыл бұрын
Professor M. Penn, thank you for a solid mathematical proof of the Quadratic Reciprocity Theorem.
@artolis
4 жыл бұрын
thank you a lot! =) greetings from brasil
@romainpopescu8788
3 жыл бұрын
gorgeous proof
@awanitranjan9730
3 жыл бұрын
Great Explanation!!
@paul21353
3 жыл бұрын
That was a glorious proof!! There is one nit to pick at 21:08, where he has (q-1)/2 < (q/2)-(1/2) but the < needs to be =. However, make the change and the argument is still valid.
@NecroMancer174
3 жыл бұрын
thank you !
@tomatrix7525
3 жыл бұрын
Wow, this was a pretty long proof, I found myself nearly forgetting what the whole objective was. Very good though
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