AlgebraicUnitQ (Built-in Mathematica Symbol)

AlgebraicUnitQ[a] yields True if a is an algebraic unit, and yields False otherwise.

Picking Out Pieces of Algebraic ... (Mathematica Tutorial)

Functions to pick out pieces of polynomials. Here is an algebraic expression. This gives the coefficient of x in e.

CountRoots (Built-in Mathematica Symbol)

CountRoots[poly, x] gives the number of real roots of the polynomial poly in x.CountRoots[poly, {x, a, b}] gives the number of roots between a and b.

RootSum (Built-in Mathematica Symbol)

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

Algebraic Calculations (Mathematica Overview)

Symbolic Computation Values for Symbols Transforming Algebraic Expressions

Algebraic Manipulation (Mathematica Overview)

Structural Operations on Polynomials Finding the Structure of a Polynomial Polynomial Orderings

Algebraic Number Fields (Mathematica Tutorial)

Mathematica provides representation of algebraic numbers as Root objects. A Root object contains the minimal polynomial of the algebraic number and the root number—an integer ...

PrimitiveRoot (Built-in Mathematica Symbol)

PrimitiveRoot[n] gives the smallest primitive root of n.

Roots (Built-in Mathematica Symbol)

Roots[lhs == rhs, var] yields a disjunction of equations which represent the roots of a polynomial equation.

Do Algebraic Calculations (Mathematica How To)

These "How tos" give step-by-step instructions for common tasks related to algebraic computation in Mathematica .