How does Maxima compare with Maple and Mathematica?
While there is considerable subject overlap among symbolic algebra systems, there is little similarity in syntax, library functionality, or design philosophy, and we know of no automatic translation tools that can convert code from one symbolic-algebra language to another. Nevertheless, if you are familiar with at least one of these languages, the Web page Maxima, Maple, and Mathematica: the Summary and its parent page The Playsome Threesome: Maxima, Maple, and Mathematica may be helpful. The first displays a large table of how to do common things in each of the three languages.