Here’s the Deal
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When comparing Maxima vs Wolfram Mathematica, the Slant community recommends Maxima for most people. In the question“What are the best computer algebra systems?” Maxima is ranked 1st while Wolfram Mathematica is ranked 3rd.
Specs
PlatformsWindows, Linux, Mac
No specs yet!
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Pros
Pro Very good open source sorftware for general mathematical work with a nice frontend (wxmaxima)
Pro Cross platform
While the desktop experience is good, it runs pretty well on Android phones too.
Pro Lots of functionality
Pro Built-in CPU Parallelization
Pro Very mature
Wolfram Mathematica has been around for a long time without any major changes in the basic design.
Pro Coherent API over different domains
Pro Supports units and can do much more than just maths
Other platforms severely lack this useful feature.
Pro Fully integrated symbolic processing
Pro Very powerful and fast, also possible to get for free
Cons
Con Only basic computer algebra.
Con Unintuitive data types and strange assignment statements
Representation of data still remains highly fragmented technically and one fumbles between data types and stumbles on strange assignment statements to attempt conversions of meaning.