You can give Solve a list of simultaneous equations to solve. Solve can find explicit solutions for a large class of simultaneous polynomial equations. Here is a simple ...

On most computer systems, Mathematica can produce not only graphics but also sound. Mathematica treats graphics and sound in a closely analogous way. For example, just as you ...

Particularly when you write procedural programs in Mathematica, you will often need to modify the value of a particular variable repeatedly. You can always do this by ...

One of the important features of Mathematica is that it can do symbolic, as well as numerical calculations. This means that it can handle algebraic formulas as well as ...

In just one Mathematica command, you can easily specify a calculation that is far too complicated for any computer to do. For example, you could ask for ...

Power series are represented in Mathematica as SeriesData objects. The power series is printed out as a sum of terms, ending with O[x] raised to a power. Internally, however, ...

Mathematica is one of the more complex software systems ever constructed. It is built from several million lines of source code, written in C/C++, Java and Mathematica. The C ...

Total differentiation operations. When you find the derivative of some expression f with respect to x, you are effectively finding out how fast f changes as you vary x. Often ...

When you install a MathLink-compatible external program using Install, the program is set up to behave somewhat like a simplified Mathematica kernel. Every time you call a ...

The standard front end interface, as discussed in "Using a Notebook Interface", is appropriate for most users' purposes. In some cases, however, you may not need to use the ...