This is documentation for Mathematica 5.2, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

Power Computing with Mathematica

Even though you can use it as easily as a calculator, Mathematica gives you access to immense computational power.

This creates a 500 x 500 matrix of random numbers. The semicolon at the end tells Mathematica not to print the matrix.

On most computers it takes Mathematica only a second or so to compute all the eigenvalues of the matrix and plot them.

Mathematica can handle numbers of any size.

This works out a numerical 100-digit approximation to pi.

Mathematica can work with formulas of any length--solving problems that would have taken years by hand.

This asks Mathematica to factor a polynomial.

Mathematica calls on sophisticated algorithms to simplify formulas.

Mathematica has achieved world records--for both size and speed--in many kinds of computations.

Mathematica takes only a few seconds to work out how many ways a billion can be partitioned into sums--a frontier number theory calculation.