This is not a homework question.


Just wondering if there is a general formula for the gaussian curvature at point (x,y,f(x,y)) in terms of x, y, and f(x,y).


I didn't see any thing like that on the [wikipedia article](http://en.wikipedia.org/wiki/Gaussian_curvature), but maybe it's hidden behind all these letters/symbols which are not actually described.


By the way, I'm studying computer science. For us, a general formula is one that works most of the time. When it doesn't work, we call this an exception, and it requires special handling :). So here of course, the function is assumed everywhere indefinitely continuous and differentiable and bounded inside any box that would fit the RAM - whatever that means - and also in R3, inside a standard classical euclidean space...


Thank you.



Gaussian curvature of a z=f(x,y) function
There are a few explicit formulas at <http://mathworld.wolfram.com/GaussianCurvature.html>.


