Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...

InverseFunctions is an option for Solve and related functions that specifies whether inverse functions should be used.

Any combination of equations or inequalities can be thought of as implicitly defining a region in some kind of space. The fundamental function of Reduce is to turn this type ...

ToNumberField[a, \[Theta]] expresses the algebraic number a in the number field generated by \[Theta]. ToNumberField[{a_1, a_2, ...}, \[Theta]] expresses the a_i in the field ...

The NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...

Cubics is an option for functions that involve solving algebraic equations, that specifies whether explicit forms for solutions to cubic equations should be given.

Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.

Mathematica's strengths in algebraic computation and graphics as well as numerics combine to bring unprecedented flexibility and power to geometric computation. Making ...

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 ...

Since many functions in Mathematica give solutions in the form of rules, you need to be able to use these rules to explore and interpret your results. Although many of the ...