# The 3 stooges of vector calculus and their impersonators: A viewer's guide to the classic episodes

@article{Buskin2013The3S, title={The 3 stooges of vector calculus and their impersonators: A viewer's guide to the classic episodes}, author={Jennie Buskin and Philip Prosapio and Scott A. Taylor}, journal={arXiv: History and Overview}, year={2013} }

The basic theorems of vector calculus are illuminated when we replace the original 3 stooges of vector calculus: Grad, Div, and Curl, with combinatorial substitutes. In addition to providing simple proofs of Green's theorem and the equivalence of the integral and derivative definitions of curl, we also provide a brief introduction to cohomology theory.

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### APPROACHING GREEN ’ S THEOREM VIA RIEMANN SUMS

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- 2013

We give a proof of Green’s theorem which captures the underlying intuition and which relies only on the mean value theorems for derivatives and integrals and on the change of variables theorem for…

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