Mathemaniac
This channel is meant to showcase interesting but underrated maths (and physics) topics and approaches, either with completely novel topics, or a well-known topic with a novel approach. If the novel approach resonates better with you, great! But the videos have never meant to be pedagogical - in fact, please please PLEASE do NOT use YouTube videos to learn a subject.
While stylistically similar to 3Blue1Brown, I don't use Manim (Grant's mathematical animation Python library) to make my videos. I actually use PowerPoint, GeoGebra and (sometimes) Mathematica to produce my videos. Pull down the description of my most recent video to see how you can download the files.
The hidden conservation law of gravity
All power-law force has a conformal dual
How Newton deduced gravity obeys inverse square law | Hidden gems #2
Why (still) care about Newtonian gravity? | Hidden gems #1
I finally find least action principle satisfying
The most important theorem in (differential) geometry | Euler characteristic #3
7-colour theorem on the torus | Euler characteristic #2
The "textbook exercise" on Euler characteristic | Euler characteristic #1
How physics solves a math problem (and a 3D graphics problem)
The clever way curvature is described in math
Lie algebras visualized: why are they defined like that? Why Jacobi identity?
Matrix trace isn't just summing the diagonal | Lie groups, algebras, brackets #5
Can we exponentiate d/dx? Vector (fields)? What is exp? | Lie groups, algebras, brackets #4
What is Lie theory? Here is the big picture. | Lie groups, algebras, brackets #3
How to rotate in higher dimensions? Complex dimensions? | Lie groups, algebras, brackets #2
Why study Lie theory? | Lie groups, algebras, brackets #1
How many terms do we need in the exp series?
Queuing theory and Poisson process
Theorema Egregium: why all maps are wrong
The biggest misconception about spin 1/2
I use PowerPoint to edit all* videos (and hit 100k subs!)
The deeper meaning of matrix transpose
How hard was my Cambridge interview? (ft. @TomRocksMaths)
Random walks in 2D and 3D are fundamentally different (Markov chains approach)
The weirdest paradox in statistics (and machine learning)
Why you can't solve quintic equations (Galois theory approach) #SoME2
The simplest reason why π/4 = 1 - 1/3 + 1/5 -...
The geometric interpretation of sin x = x - x³/3! + x⁵/5! -...
Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6
What if we define 1/0 = ∞? | Möbius transformations visualized