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DryRun
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Homework Statement
What's the difference between Green's theorem, Gauss divergence theorem and Stoke's theorem?
The attempt at a solution
I'm struggling to understand when i should apply each of those theorems.
Here is what i understand. Please correct my statements below, if needed.
Green's theorem is for evaluating the surface area of a region in a 2D plane, bounded by a simple closed curve.
Gauss divergence theorem is for evaluating the flux in 3D of a surface bounded by a closed curve.
Stoke's theorem is for evaluating the surface area in 3D bounded by a simple closed curve.
It's all a bit mixed in my mind, so I'm not sure which theorem to use, but I've been trying to distinguish between those 3 theorems.
What's the difference between Green's theorem, Gauss divergence theorem and Stoke's theorem?
The attempt at a solution
I'm struggling to understand when i should apply each of those theorems.
Here is what i understand. Please correct my statements below, if needed.
Green's theorem is for evaluating the surface area of a region in a 2D plane, bounded by a simple closed curve.
Gauss divergence theorem is for evaluating the flux in 3D of a surface bounded by a closed curve.
Stoke's theorem is for evaluating the surface area in 3D bounded by a simple closed curve.
It's all a bit mixed in my mind, so I'm not sure which theorem to use, but I've been trying to distinguish between those 3 theorems.
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