Approximating Sqrt(2), Newton's Method vs Euler's Method
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sqrt(2), original raw file (uncut, unedited, full version): https://youtu.be/BK6RjVBx6h8

Newton's Method in details: https:…

In this video, I prove the celebrated Banach fixed point theorem, which says that in a complete metric space, a contraction must have a fixed point. The proof is quite elegant and illustrates the beauty of analysis. This theorem is used for example to show…

Programa de Doutorado: Geometria Algébrica I - Aula 18 Inicio: 13h30 Professor: Roberto Mikhail Verbitskiy Aulas anteriores: https://goo.gl/pq2Y8Y Variedades...

I didn't solve this problem myself, but I felt better when I learned WolframAlpha couldn't solve it either! But there is a way to solve it using careful mathematical reasoning. Thanks to Luka Khizambareli from Georgia for suggesting this and sending its solution!…

Laplace Transform vs. Undetermined Coefficients, second order linear differential equation (part2), Featuring Professor Sam Pearsall! Part 1, by Laplace Tran...

Arc length integral formula,

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A LOT of people have heard about Andrew Wiles solving Fermat's last theorem after people trying in vain for over 350 years. Today's video is about Fermat's LITTLE theorem which is at least as pretty as its much more famous bigger brother, which has a super…

In this video, I show how to graph parametric equations on xy plane and also how to convert parametric equations to cartesian equations.
Parametric vs. Cartesian Full playlist : https://www.youtube.com/playlist?list=PLj7p5OoL6vGyIPHJnnOHKtNZAY4MFuwj2
Please…