# Wolfram Language & System 10.0 (2014)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
WOLFRAM LANGUAGE GUIDE

# Algebraic Number Theory

With its convenient symbolic representation of algebraic numbers, the Wolfram Language's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one of the historically richest areas of pure mathematicsall tightly integrated with the Wolfram Language's powerful unified environment.

## Learning ResourcesLearning Resources

### Tutorials

Related Web Resources

Demonstrations

## ReferenceReference

### Algebraic Numbers and Representation »

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