I think you are all missing the context here. The "Association for Mathematical Research" is a new organization created by various people who got in trouble on woke math twitter. Nobody had heard of it until yesterday. (Their crimes are mostly opposing diversity statements in job applications, or favoring gifted programs.) It looks like a schism with the AMS (which more-or-less publicly takes the opposite view on these things), though they deny it. The impetus for the new group is clearly political. They got a few big names on there, but everybody on the board is already known for holding retrograde political views and I think they all signed one of the dueling petitions about this in the AMS Notices a year or two ago.<p>This is just a filler page to make it look like they have some content. It's not a serious list of mathematical software. There are good ones of those done elsewhere.
The list is missing Manim for visualization. I tried it out because I was curious how 3b1b creates his videos and was blown away by the simplicity of the tool. For simple visualization and teaching aid, Manim is a great tool.
I would add also nlgebra[1] and Simba[2].<p>[1]
<a href="https://github.com/dimforge/nalgebra" rel="nofollow">https://github.com/dimforge/nalgebra</a><p>[2] <a href="https://github.com/dimforge/simba" rel="nofollow">https://github.com/dimforge/simba</a>
Not sure what the criteria is to be included in this list, but I've used this software for dynamical systems and there doesn't appear to be anything listed for that category.<p><a href="https://juliadynamics.github.io/JuliaDynamics/" rel="nofollow">https://juliadynamics.github.io/JuliaDynamics/</a>
xcas is very good (though the UI shows its age), based on giac: <a href="https://www-fourier.univ-grenoble-alpes.fr/~parisse/giac.html" rel="nofollow">https://www-fourier.univ-grenoble-alpes.fr/~parisse/giac.htm...</a><p>In addition to software in the comments, not even WolframAlpha is listed.
Nice list! Scilab looks pretty interesting, especially the Simulink-like part.<p>I only wish there was something Python-based for Dynamical/Hybrid Systems.