Dan Stowell
Learning some Clifford Algebra (aka Geometric Algebra) - it's beautiful. You can use the same algebra method for 2D, 3D, more - & among other things, it leads to a VERY intuitive way to understand complex numbers! These 2 videos explain it delightfully:
(1) Freya Holmér. "Why can't you multiply vectors?" https://www.youtube.com/watch?v=QFzoltaLESs
(2) "A swift Introduction to Geometric Algebra" https://www.youtube.com/watch?v=60z_hpEAtD8
(Thanks to Scott Hawley for the inspiration & links) #maths #algebra #geometry
GAME26 Freya Holmér. Why can't you multiply vectors?

YouTube
Apr 6 at 5:19pmWeb
Show threadDan Stowell2d ago
Defining (or explaining) complex numbers from "i = √-1" is cryptic in extreme. Defining them via geometry-as-algebra and 2D rotations, with the above as a simple *consequence*, recruits our intuitions and generalises well. Magic!
Show threadAlejandro_P3d ago
@danstowell as someone studying #Geometric #Statistics I've been interested in geometric algebra for a while, but never had the time to learn it more deeply or have someone to learn it from IRL
But I think it would be super useful for the computational side of stats
#MoreResearchIsNeeded