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For questions about differential and integral calculus with more than one independent variable.

3
votes
Here is an argument that has convinced (or at least silenced :-)) students in office hours. Making it into a rigorous proof would require more time talking about what volume MEANS than I do. First, s …
answered Jan 21 '16 by David E Speyer
8
votes
I always think of $\int_D \nabla \times v = \int_{\partial D} v$ in terms of water flow. You have a bunch of water flowing around: It's velocity at a given position $(x,y)$ is given by the vector fiel …
answered Mar 18 '14 by David E Speyer