Given that a surface integral of a function, f(x,y,z), is written as [itex]\int\int f(x,y,z) dS[/itex] where dS= |df/dx x df/dy| dA, how can this be generalized into more dimensions? In other words, is it possible to find a way to convert dS into a differential piece of area for more than 3 dimensions? What type of cross product would be able to incorporate the cross product of something differentiated with respect to three parameters, or four, or so on?(adsbygoogle = window.adsbygoogle || []).push({});

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# Generalization of Surface Integral

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