Differential Forms and Tensors

Joseph Mellor
15 min readJun 26, 2023

The Levi-Civita symbol allows us to take determinants and rewrite Differential Forms in terms of tensors.

This is stop 21 on the Road to Quantum Mechanics.

We’ve spent roughly five articles (or six if you count Vectors and Covectors) talking about Differential Forms, but concepts in Physics are expressed mostly in terms of tensors. If we want our progress in Differential Forms to carry over to the rest of Physics, we’ll need some way of rewriting them in…

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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/.