Some mathematical software that I use:
-
Macaulay 2:
excellent computational commutative algebra package. Here's
a short example of some code
I have written for use in Macaulay 2: the procedure calculates
the largest monomial ideal sitting inside a given ideal.
-
Polymake:
state of the art for polyhedral computations.
-
Normaliz:
for computing the Hilbert bases of cones.
-
4ti2: very nice package to compute
the circuits of a given matrix, also for generating sets and Gröbner
bases of toric ideals. Also computes the marginal matrix from a specified hierarchical model!
-
CaTS :
for computing and walking around the toric Gröbner fan.
-
Gfan:
same as CaTS except for any Gröbner fan, not just toric ones. Is
also useful for tropical computations but I know less about this program
than the others above.
-
LattE:
Practically efficient package for enumerating lattice points
in a polytope. Again, my knowledge of this is less than
the others above.
-
Finally, you may be interested in ubuntu
as a user-friendly, linux/debian based alternative to windows. There are
many good reasons to switch but why take it from me when you can get it
from the horse's mouth: Ctrl-Alt-Deceit(1) and
Ctrl-Alt-Deceit(2) (from
Harper's, April 2007, without
permission).
