Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

Taylor series

In mathematics, a Taylor series is a representation of afunction as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.

The concept of a Taylor series was discovered by the Scottish mathematician James Gregory and formally introduced by the English mathematician Brook Taylor in 1715. If the Taylor series is centered at zero, then that series is also called aMaclaurin series, named after the Scottish mathematicianColin Maclaurin, who made extensive use of this special case of Taylor series in the 18th century.

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