I've been following the sage package, and recently wanted to see how
it was doing with symbolic mathematics.
It seems that it's doing well:
http://www.sagemath.org/doc/ref/module-sage.calculus.calculus.htmlIt can integrate/differentiate and maintain the symbolic form:
sage: f = sin(x)/cos(2*y)
sage: f.derivative(y)
2*sin(x)*sin(2*y)/cos(2*y)^2
sage: g = f.integral(x); g
-cos(x)/cos(2*y)
I should be a bit more precise: it is not using Math Notation, but
script notation. But none the less, it appears to do a good job.
It also can output LaTeX expressions, not sure if it can input them
however.
-- Owen
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