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Surface integrals are of greatest importance from their power in representing important physical concepts, such as flow of a material or charge, or flux of electric or magnetic fields. We also want to be able to compute them and we show here how this is done.
24.1 Conceptual Discussion and Main Result
24.2 Implications for Integrals over Area in the Plane: the Jacobian
24.3 Generalizations to Higher Dimensions
24.4 Volume and Surface Integrals as Single Ordinary Integrals