Programming for a mathematician?

I have started studying Haskell. I expect the type system and monads to be the most interesting things to learn (I know common lisp and have already seen many cool features). Though the days of general programming are long gone. I am interested in writing math apps though. Should I continue learning Haskell or should I start studying Mathematica (or some other alternative like matlab/maple) instead?

>>11
Yes, you do know what you want.  It's just that what you said in the OP was more general than you meant.  90% of what you want can be achieved by simply doing the work yourself and then plotting the resulting figures in something as simple as Sketchup, which isn't a programming language as much as a design tool.  See http://sketchesoftopology.wordpress.com/ .  The remaining 10% - the physics bits and the rendering of animations of n-body problems and such, is something you want to learn 3D graphics for.  I would recommend C and OpenGL and struggling through all the camera manipulation until you understand the matrix multiplication side of things, but that's just what I've done, and I'm a C guy.  If an existing tool doesn't give you what you want, maybe you're just better off writing your own.