Stokes Theorem vs Greens Theorem (circulation)

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For those who don’t get it: stokes theorem is the 3D dimensional equivalent of greens theorem. Greens’s theorem is a concept in 2D vector fields that essentially says that the total circulation or motion around some simple, closed curve “C” (the line integral over that curve “C” through a 2D vector field) is the same as the sum of all micro circulation in closed loops within the region bounded by “C” (the sum of all the curls within the region). this results in the formula you see on the bottom next to Odin.

The stokes theorem takes this idea to 3D.

CalculusIsFun
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Damn i feel smart when i understand that.

theofficialclefmaker
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Seeing this after I failed my calc of several variables exam 😢

jy
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