The Verdict
Learning mathematics is best done with the two less complicated programs, Genius and Geogebra. Running a project that requires large amounts of data and/or communicating with external systems, then you are certainly better off with Scilab or Octave.
The difference between the latter two is quite small, so you need to dig deeper for features you may need. In this endeavour, we have found two distinct categories and the ‘others’. These are the science-based ones and the teaching ones. Within the science-based category, we have Octave and Scilab. They are both thriving thanks to support from foundations and businesses which use them.
Their users are also advanced enough to create specialised packages for their own needs. Enough of these users release these packages back to the community to give you great tools, should you need something more specialised.
On the more educational side, we have the mathematical tools of Genius. Genius has a great following and the developers are active in their work. Geogebra has made a business of teaching mathematics and supporting teachers. This keeps the development active and gives you more features to play with.
As for Engauge Digitizer, this is a utility that can enhance your projects. One good feature missing at the moment is a way to add it to the other mathematics applications. Maybe it could also be added to your office package of choice – is anyone up to the task?
When looking at these scores, you need to decide which package best suits your use case. With that in mind, it’s entirely possible that the worst-scoring package could be exactly what you’re looking for to complete a project or to learn a specific topic. Engauge Digitizer is a good example; it does very little in theory, but when you need to get numbers out of a graph, it’s a brilliant tool. There are many libraries available for very specific issues that programmers can use for their projects.
Many of the projects in this category keep going because designers and users have found ways to build businesses around the software. They do this without closing the source code or violating the terms of the free and open source licences. Sounds great to us!