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  • We explain how the gradient, curl, and divergence are really just the exterior derivative in disguise via the flat and Hodge ...
  • We explain how the Riemann sum procedure translates to
  • This
  • We introduce the "musical isomorphisms" which turn vectors into
  • What did the James Webb Space Telescope really discover about 3I/ATLAS? In this

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Given p, we can See notes for See notes for We define the integral of a general

We introduce the Hodge *, an isomorphism between

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