The following dialogue provides a brief look at some of the features of Mathematica, a general system for doing mathematical computations on a computer. It is structured as a Mathematica notebook or "living textbook."
"Real Time Algebra" is an example of a very friendly interface to the Mathematica kernel. All it knows is how to send a message to Mathematica and receive a reply. The point of its existence is to show that an external application messaging Mathematica can be very powerful ... "standing on the shoulders of giants."
You can make movies from the graphical output from Mathematica by connecting the frames into a movie script and then play the script with the built in projector. Here is an example of a Mathematica "movie" command. To use it, we must first load the animation routines.