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All the Mathematics You Missed by Lori Pedersen, Thomas A. Garrity

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Chapter 6

Differential Forms and Stokes’ Theorem

Basic Objects:

Differential Forms and Manifolds

Basic Goal:

Stokes’Theorem

In the last chapter we saw various theorems, all of which related the values of a function on the boundary of a geometric object with the values of the function’s derivative on the interior. The goal of this chapter is to show that there is a single theorem (Stokes’ Theorem) underlying all of these results. Unfortunately, a lot of machinery is needed before we can even state this grand underlying theorem. Since we are talking ...

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