Maple is a commercial computer algebra software package. It’s an educational software tool to help users with mathematics, application development, and engineering. The latest version is Maple 17, and is available for student, academic, government, and commercial purchase.
Mathematica is a mathematics software program used to help with science, math, and engineering fields. It can be used for industrial work, or for educational purposes. It allows integration of computation to many different types of fields and work flows.
MATLAB (MATrix LABoratory) a numerical computing environment and fourth-generation computing language. MATLAB allows signal processing and communication, image and video processing, control systems, test and measurement, computational finance, and computational biology.