This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 Algebraic Number Theory With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one of the historically richest areas of pure mathematics—all tightly integrated with Mathematica's powerful unified environment. AlgebraicNumber — algebraic number represented in a particular field Root — represent a root of a polynomial RootApproximant — root approximation      Algebraic Number Fields ToNumberField — find a common field, or express numbers in a given field Factorization FactorInteger — factorization of integers Factor — factorization of polynomials GaussianIntegers — allow factorization over Gaussian integers      Extension — field extension for number theoretic and polynomial operations RootReduce — reduce an algebraic number to minimal Root form ToRadicals — convert to explicit radicals TUTORIALS Algebraic Numbers Algebraic Number Fields TUTORIAL COLLECTION Advanced Algebra MORE ABOUT Algebraic Numbers Number Theory Number Theoretic Functions RELATED LINKS Demonstrations related to Algebraic Number Theory (The Wolfram Demonstrations Project)