PinnedJoseph MellorinCantor’s ParadiseAn Intro to TopologyTopology is the study of how you can squish and stretch things without gluing or cutting, but it can be intimidating. We’ll make it simple.Nov 16, 20227Nov 16, 20227

PinnedJoseph MellorinCantor’s ParadiseThe Road to Quantum Mechanics, Part 1: Intro, Coordinates, and KinematicsIt’s a long road to understanding Quantum Mechanics, and there are no shortcuts. In this series, I’ll show you Quantum Mechanics from the…Dec 30, 202113Dec 30, 202113

PinnedJoseph MellorinCantor’s ParadiseHow to Discover Finite Fields While Bored in Class, Pt. 1: Cellular AutomataI thought I was just drawing pretty lines, but my high school doodles turned out to be Linear Algebra over a finite field.Mar 14, 20224Mar 14, 20224

Joseph MellorUpdate: I’m Still Active, the Math is Just TrickyI’m just writing this article to let you know I’m still writing and to explain my future plans.Feb 241Feb 241

Joseph MellorinTechnological SingularityThe Rigid Body Lagrangian and the Inertia TensorThere’s more to the world than point particles.Dec 30, 2023Dec 30, 2023

Joseph MellorinTechnological SingularityRepresentations of Finite FieldsThere’s little to no easy-to-use, freely available software for working with general finite fields. Let’s fix that.Nov 25, 20233Nov 25, 20233

Joseph MellorEigenvalues and EigenvectorsEigenvalues and eigenvectors are the most powerful tools in Linear Algebra.Sep 4, 20231Sep 4, 20231

Joseph MellorUpdate: I’m Still Alive and Making ContentI haven’t published an article in a few months because I’ve been incredibly busy, but I’m starting to get more time to make content.Sep 3, 20233Sep 3, 20233

Joseph MellorDifferential Forms and TensorsThe Levi-Civita symbol allows us to take determinants and rewrite Differential Forms in terms of tensors.Jun 26, 20231Jun 26, 20231

Joseph MellorA Mathematical Approach to TensorsA matrix is a linear map of a vector to another vector. A tensor is a multilinear map of a tensor to another tensor.Jun 4, 20232Jun 4, 20232