For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

DownValues[f] gives a list of transformation rules corresponding to all downvalues defined for the symbol f.

The first argument given to DSolve is the differential equation, the second argument is the unknown function, and the last argument identifies the independent variable. Here ...

IntegerLength[n] gives the number of digits in the base 10 representation of the integer n.IntegerLength[n, b] gives the number of digits in the base b representation of n.

When you set up a graphics object in Mathematica, you typically give a list of graphical elements. You can include in that list graphics directives which specify how ...

Mathematica's unified computation and dynamic document architecture makes possible a new level of interactive presentation—notably allowing finished "slides" on which full ...

[AP91] Ascher, U. and L. Petzold. "Projected Implicit Runge–Kutta Methods for Differential Algebraic Equations." SIAM J. Numer. Anal. 28 (1991): 1097–1120. [AP98] Ascher, U. ...

Developed at Wolfram Research over nearly twenty years, Mathematica has by far the world's most sophisticated and convenient mathematical typesetting technology. Generalizing ...

If[condition, t, f] gives t if condition evaluates to True, and f if it evaluates to False. If[condition, t, f, u] gives u if condition evaluates to neither True nor False.

Mathematica allows you to treat abstract 3D graphics using familiar physical metaphors. It provides not only real-time 3D manipulation, but also detailed programmatic control ...