Euler Math Toolbox is a versatile Matlab-like suite
We’ve revisited a few veteran applications recently, but nothing that quite competes with Euler Math Toolbox, which began life in 1988 as a program for the Atari ST. These days, and still being regularly updated, the package has become a versatile suite of tools for exploring real and complex numbers, vectors, matrices and symbolic algebra.
This is all powered from a Matlab-like matrix language, and can integrate with Povray, LaTEx, even custom Python and C code for the most efficient scripts.
One EMT highlight is its graphics output. It’s able to generate 2D and 3D plots, animations, fractals, even 3D photo realistic scenes (with a little help from Povray).
Although it’s plainly not for the mathphobic, Euler Math Toolbox comes with plenty of tutorials and examples to show you what’s possible and how it works.
The developer’s website also has a "Featured Examples" page with a few images, and an "All Examples" page with the full list. Check out the Mandelbrot page, for instance, for EMT’s take on fractals.
Euler Math Toolbox is a free application for Windows Vista and later.