In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced ...

This package provides an interactive tool for investigating the solutions of differential equations as well as other types of equations that have solutions that can be viewed ...

QBinomial[n, m, q] gives the q-binomial coefficient (n; m)_q.

MatrixPower[m, n] gives the n\[Null]\[Null]^th matrix power of the matrix m. MatrixPower[m, n, v] gives the n\[Null]^th matrix power of the matrix m applied to the vector v.

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 ...

Mathematica has a wide coverage of named functions defined by sums and recurrence relations. Often using original algorithms developed at Wolfram Research, Mathematica ...

Mathematica automatically uses sophisticated algorithms to track the precision of approximate numbers. Particularly for some verification applications, however, it is ...

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 ...

HornerForm[poly] puts the polynomial poly in Horner form.HornerForm[poly, vars] puts poly in Horner form with respect to the variable or variable list ...

SatisfiabilityInstances[bf] attempts to find a choice of variables that makes the Boolean function bf yield True.SatisfiabilityInstances[expr, {a_1, a_2, ...}] attempts to ...