Basic Rings
Introduction to Rings
The ring/field world, coercion, and generic ring functionality.
Ring of Integers
Integer arithmetic, divisibility, primes, and number-theoretic functions.
Integer Residue Class Rings
Rings Z/nZ, Chinese remainder theorem, and Hensel lifting.
Rational Field
Rational number arithmetic and conversion.
Finite Fields
Construction, arithmetic, and extensions of finite fields.
Nearfields
Nearfield construction, properties, and element operations.
Univariate Polynomial Rings
Univariate polynomial ring creation, operations, and elements.
Multivariate Polynomial Rings
Multivariate polynomial ring creation, operations, and elements.
Real and Complex Fields
Real and complex field creation, structure, and element operations.