An Intro to Differential Forms

Joseph Mellor
22 min readJan 25

Differential forms are powerful tools, but a lot of the geometric intuition is hidden behind the formalism. Let’s fix that.

This article is stop 15 on The Road to Quantum Mechanics.

With the exception of The Charged Particle Lagrangian, we’ve done little to no Vector Calculus. Sure we’ve talked about a few operators from Vector Calculus, but we’ve pulled formulas and identities out of thin air with no explanation. Over the next few articles, we’re going to fix that…

Joseph Mellor

BS in Physics, Math, and CS with a minor in High-Performance Computing. You can find all my articles at