This is documentation for Mathematica 4, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)
Wolfram Research, Inc.

Accessing Algorithms in MathematicaBuilding Up Computations

Mathematical Knowledge in Mathematica

Mathematica incorporates the knowledge from the world's mathematical handbooks — and uses its own revolutionary algorithms to go much further.

Mathematica knows about all the hundreds of special functions in pure and applied mathematics.

Mathematica can evaluate special functions with any parameters to any precision.

Mathematica is now able to do vastly more integrals than were ever before possible for either humans or computers.

Mathematica can also evaluate finite and infinite sums and products.

Look at the Integrals demo to see more examples.

Mathematica can solve a wide range of ordinary and partial differential equations.

Mathematica's algorithms can generate a huge range of mathematical results.

This finds the billionth prime number, using a mixture of algorithms and built-in tables.

Accessing Algorithms in MathematicaBuilding Up Computations