From DDL Wiki
In mathematics, the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. It is common practice to use a finite number of terms of the series to approximate a function.
Unidimensional Taylor Series
The Taylor series of a function ƒ(x) that is infinitely differentiable in the neighbourhood of the point is the power series
which in a more compact form can be written as
Multidimensional Taylor Series
A second-order Taylor series expansion of a scalar-valued function of more than one variable can be written compactly as
- Some information taken from Wikipedia's entry on Taylor series