A computer algebra system (CAS) or symbol manipulation system is a computer
program that performs symbolic mathematical operations. In Figure
1.1 we show an interactive dialogue with the Maple computer algebra
system developed by Waterloo Maple Inc. The statements that are preceded
by the prompt (>) are inputs to the system that are entered at a
computer workstation. The commands factor, convert, compoly, and
simplify are examples of mathematical operators in the Maple system. In
response to these statements, the program performs a mathematical operation
and displays the result using a notation that is similar to ordinary
mathematical notation.