Stokes' Theorem
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Stoke's Theorem is a generalization of the Fundamental Theorem of Calculus, which states that if M is an oriented piece-wise smooth manifold of dimension n and <math>\omega</math> is a smooth nâ1 form with compact support on M. Let âM denotes the boundary of M with its induced orientation, then
- <math>\int_M \mathrm{d}\omega = \oint_{\partial M} \omega.\!\,</math>
Here d is the exterior derivative.