The following types of numbers are among those available in Axiom

Integers | Arithmetic with arbitrarily large integers
Fractions | Rational numbers and general fractions
Machine Floats | Fixed precision machine floating point
Real Numbers | Arbitrary precision decimal arithmetic
Complex Numbers | Complex numbers in general
Finite Fields | Arithmetic in characteristic p

Addtional topics

- Numeric Functions
- Cardinal Numbers
- Machine-sized Integers
- Roman Numerals
- Continued Fractions
- Partial Fractions
- Quaternions
- Octonions
- Repeating Decimals
- Repeating Binary Expansions
- Repeating Hexadecimal Expansions
- Expansions in other Bases