/sci/ - Science & Math

>>15360233
If you don't actually care about ODE methods or things like that, just pick up Octave or Sage or some other framework and go crazy.
If what you're trying to visualize isn't cutting edge math, expect little trouble in return for a lot pretty pictures.
Something I've been enjoying recently are geodesics. I have an Octave script now that finds them on a vanishing set of any reasonably nice function of R3.
Oddly appropriate considering these could just be understood as motion of a particle constrained to a surface!
You can get the general ODE in that case very straightforwardly with computer algebra; https://math.stackexchange.com/questions/111577 gives you the second fundamental form, and Lee's Riemannian Geometry Lemma 8.5 gives the geodesic equation in terms of that.