New functions Animate and ListAnimate have been added to the built-in Mathematica kernel. SpinShow is replaced by interactive rotation of three-dimensional graphics.

PolyhedronData has been added to the built-in Mathematica kernel. A new Polyhedron Operations Package has been created.

Mathematica's handling of polynomial systems is a tour de force of algebraic computation. Building on mathematical results spanning more than a century, Mathematica for the ...

PrimePi[x] gives the number of primes \[Pi] (x) less than or equal to x.

Mathematica handles many different kinds of things: mathematical formulas, lists, and graphics, to name a few. Although they often look very different, Mathematica represents ...

A standard electronic calculator does all your calculations to a particular accuracy, say ten decimal digits. With Mathematica, however, you can often get exact results. ...

MathLink provides a mechanism through which programs can interact with Mathematica. Some typical uses of MathLink. MathLink provides a general interface for external programs ...

Importing and exporting tabular data. This exports an array of numbers to the file out.dat. Here are the contents of the file out.dat.

Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...

It is often useful to carry out a numerical integration using fixed step sizes. For example, certain methods such as "DoubleStep" and "Extrapolation" carry out a sequence of ...