Functions in Axiom

In Axiom, a function is an expression in one or more variables. (Think of it as a function of those variables.) You can also define a function by rules or use a built-in function. Axiom lets you convert expressions to compiled functions.
Rational Functions Quotients of polynomials
Algebraic Functions Those defined by polynomial
Elementary Functions The elementary functions of calculus
Simplification How to simplify expressions
Pattern Matching How to use the pattern matcher
Operator Algebra The operator algebra facility