The Exterior Derivative

Joseph Mellor
16 min readMar 10, 2023

We’re going to derive half the identities in Vector Calculus by introducing a powerful new operator.

This article is stop 16 on The Road to Quantum Mechanics.

In the previous article, I promised that we could use Differential Forms to prove a lot of important theorems, derive a lot of identities, and evaluate some integrals in arbitrary coordinate systems.

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Joseph Mellor

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