When you set up mathematical formulas, you often have to introduce various kinds of local objects or "dummy variables". You can treat such dummy variables using modules and ...

Elementary transcendental functions. Mathematica gives exact results for logarithms whenever it can. Here is log_21024. You can find the numerical values of mathematical ...

Mathematica's notebook interface is a very powerful typesetting system that allows you to enter formulas as they are written in mathematical literature, using two-dimensional ...

In most cases, you want the head f of a Mathematica expression like f[x] to be a single symbol. There are, however, some important applications of heads that are not symbols. ...

Important points to remember in Mathematica. If you have used other computer systems before, you will probably notice some similarities and some differences. Often you will ...

Here is the integral ∫x^n dx in Mathematica. Here is a slightly more complicated example. Mathematica knows how to do almost any integral that can be done in terms of ...

There are a number of functions built into Mathematica which, like Plot, have various options you can set. Mathematica provides some general mechanisms for handling such ...

Converting between symbols and their names. Here is the symbol x. Its name is a string.

Mathematica normally assumes that all your variables are global. This means that every time you use a name like x, Mathematica normally assumes that you are referring to the ...

The Padé approximation is a rational function that can be thought of as a generalization of a Taylor polynomial. A rational function is the ratio of polynomials. Because ...