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(No demo) Maple is the ultimate productivity tool for solving mathematical problems and creating interactive technical applications.

Eigenmath is a free, easy to use, multiplatform computer algebra system by George Weigt, currently available for Windows, Linux and Mac OS X. Eigenmath is written in the C programming language, and

Yacas (Yet Another Computer Algebra System) is an open source general purpose computer algebra system. Its strength is in the language in which you can easily write your own symbolic manipulation

This CAS is compareable to Maple. The syntax is very similar. But you're able to define vaiables f. e.. The main difference is: it is "better" beacuse it is more compfortable and it is free. If you