Exploring 370 Video 17 Pushforward

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  • We explain how the Riemann sum procedure translates to differential forms.
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  • We recall the definition of manifolds, give an alternate characterization using local parameterizations, and define manifolds with ...
  • We recall the gradient, curl, and divergence from multivariable calculus, as well as the fundamental theorem of line integrals, ...

In-Depth Information on 370 Video 17 Pushforward

In this Now that we can push vectors forward, we can also pull differential forms back, using the “dual” definition: def: Let f:M\to N. The ... We explain tangent vectors, differential forms, and orientations on manifolds. What is General Relativity? Lesson 57: Pullback and

We define integration on manifolds, present a proposition simplifying the computation of integrals, and compute an integral over ...

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