What SAGE Can Do

SAGE does a wider range of mathematics than every other open source mathematics software, partly by virtue of incorporating several of the other large mature systems.

This is a high-level overview and list of functionality that is easily available from the standard SAGE interface. (The intended reader has never heard of Maxima, GAP, Singular, Givaro, etc.). This should be aimed at SAGE-2.5, and will be released with it.

Calculus

Combinators

Coding theory

Commutative Algebra

Cryptography

Elementary Education

Finite Fields

Graph Theory

Graphical Interface

Group Theory

Interfaces to Math Software

Linear Algebra

Number Theory

Numerical Computation

p-adic Numbers

Plotting

Polytopes