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 partititioned into sums--a frontier number theory calculation.