Sage is a free open-source mathematics software system: and you can save $1,900 on Matlab!
Apparently this is an advanced mathematical tool like Mathworks Matlab. (But it's FREE: instead of costing you $1900 like Matlab!) Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.
Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.
Sage Feature Tour
Sage can be used to study general and advanced, pure and applied mathematics. This includes a huge range of mathematics, including algebra, calculus, elementary to very advanced number theory, cryptography, numerical computation, commutative algebra, group theory, combinatorics, graph theory, exact linear algebra and much more. It combines various software packages and seamlessly integrates their functionality into a common experience. It is well suited for education, studying and research.
The interface is a notebook in a web-browser or the command-line. Using the notebook, Sage connects either locally to your own Sage installation or to a Sage server on the network. Inside the Sage notebook you can create embedded graphics, beautifully typeset mathematical expressions, add and delete input, and share your work across the network.
Quickstart Guide: http://www.sagemath.org/tour-quickstart.html
Download for Mac X or Solaris or Linux: http://www.sagemath.org/download.html
Download for Windows: http://windows.sagemath.org/