"Manipulating Elements of Lists" shows how you can pick out elements of lists based on their positions. Often, however, you will need to select elements based not on where ...

GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

Simplifying expressions. Mathematica does not automatically simplify an algebraic expression like this. Simplify performs the simplification.

RootApproximant[x] converts the number x to one of the "simplest" algebraic numbers that approximates it well.RootApproximant[x, n] finds an algebraic number of degree at ...

ToRadicals[expr] attempts to express all Root objects in expr in terms of radicals.

As with integers, operations related to division are key to many computations with polynomials. Mathematica includes not only highly optimized univariate polynomial-division ...

GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...

NormFunction is an option for functions such as FindFit and NDSolve which gives a function to be minimized in generating results.

BooleanFunction[k, n] represents the k\[Null]^th Boolean function in n variables.BooleanFunction[values] represents the Boolean function corresponding to the specified vector ...

The MathLink library contains an extensive collection of C functions that allow arbitrary data and structure to be exchanged with Mathematica, and provide detailed control of ...