Everyone on math-fun should be aware of the really cool "Chebfun" system, which is a computer algebra system by Nick Trefethen of Oxford University based on Chebyshev polynomials. There's also a good video lecture (on Youtube?) which gives a nice overview. https://en.wikipedia.org/wiki/Chebfun http://www.chebfun.org/ http://www.chebfun.org/ATAP/ http://people.maths.ox.ac.uk/trefethen/chebfun.pdf https://people.maths.ox.ac.uk/trefethen/cheb2paper.pdf http://www.cs.berkeley.edu/~fateman/papers/cheby.pdf