Numerical sums, products and integrals. Here is a numerical approximation to ∑_(i=1)^∞((1)/(i^3)). NIntegrate can handle singularities in the integration region.

Mathematica usually keeps the elements of a list in exactly the order you originally entered them. If you want to treat a Mathematica list like a mathematical set, however, ...

In doing calculations, it is often convenient to collect together several objects, and treat them as a single entity. Lists give you a way to make collections of objects in ...

Mathematical constants. Euler's constant EulerGamma is given by the limit γUnderscriptBox[lim, RowBox[{m, , ∞}], LimitsPositioning -> True](UnderoverscriptBox[∑, RowBox[{k, ...

Naming Conventions Generic and Nongeneric Cases Numerical Functions

The simplest way to mix text and formulas in a Mathematica notebook is to put each kind of material in a separate cell. Sometimes, however, you may want to embed a formula ...

Explicit representations of newlines and tabs in strings. This prints on two lines. In InputForm there is an explicit ∖n to represent the newline.

Create a Slide Show Create a Lecture Notebook Style and Format Notebooks

Testing for numeric quantities. Pi is a symbol, so Pi+3 is not explicitly a number. It does however have a numerical value.

Specifying patterns that involve alternatives. This defines h to give p when its argument is either a or b. The first two cases give p.