how to integrate / link R and Computer Algebra Systems (CAS)

Question

I'm looking for a possibility to use different 'higher' math operations in combination with R. A link or integration between R and a CAS would be the perfect solution.

Which integration of R and other (math & statistic related) systems or vice verse are out there? How well do they work? What would you suggest? How expansive (in time, money and frustration) are they?

(FOSS is of course preferred :)

Answer 1

Have you looked at the Ryacas package which brings Yacas to R?

The SAGE project has a focus on CAS and offers an R integration.

Answer 2

There is also rsympy (CRAN):

rSymPy is an R package giving R users access to the SymPy computer algebra system running on Jython from within R.

Answer 3

Sadly there is only a link to matlab and not maxima...