In an expression like f[{a,b,c}] you are giving a list as the argument to a function. Often you need instead to apply a function directly to the elements of a list, rather ...

When you use //N to get a numerical result, Mathematica does what a standard calculator would do: it gives you a result to a fixed number of significant figures. You can also ...

When you write a program in Mathematica, you should always try to set it up so that its parts are as independent as possible. In this way, the program will be easier for you ...

Making lists from functions. This makes a list of 5 elements, each of the form p[i]. Here is another way to produce the same list.

Converting between strings and lists of characters. This gives a list of the characters in the string. You can apply standard list manipulation operations to this list.

When you manipulate power series, it is sometimes convenient to think of the series as representing functions, which you can, for example, compose or invert. Composition and ...

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There are many functions that are built into Mathematica. This tutorial discusses how you can add your own simple functions to Mathematica. As a first example, consider ...

If you make a definition such as f[x_]:=value, Mathematica will use the value you give for any f function it encounters. In some cases, however, you may want to define a ...

Partial differentiation operations. This gives ( ∂ ) / ( ∂x ) x^n. This gives the third derivative.