Comparisons of Mathematica, MapleSoft and MatLab

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LouMazero
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I am looking to invest some time into learning one of these programs, higher math and physics, can someone contrast and compare these programs, strengths/weaknesses etc?
 

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I like Mathematica best, but I made my choice back when Maple was really unstable. Really MatLab is a different thing entirely since it is just numeric and not symbolic. I wouldn't put them on the same list, I would put MatLab on a list with IDL instead.
 
Matlab DOES have symbolic packages, but it is nowhere near mathematica's level of refinement. Mathematica also has a crazy amount of packages for all different things.
 

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