\begin{definition}[Definition:Continuous Mapping]
The concept of '''continuity''' makes precise the intuitive notion that a function has no "jumps" at a given point.
Loosely speaking, in the case of a real function, continuity at a point is defined as the property that the graph of the function does not have a "break" at the point.
This concept appears throughout mathematics and correspondingly has many variations and generalizations.
\end{definition}