Taylor's series

British

noun

maths an infinite sum giving the value of a function f( z ) in the neighbourhood of a point a in terms of the derivatives of the function evaluated at a. Under certain conditions, the series has the form f ( z ) = f ( a ) + [ f ′( a )( z – a )]/1! + [ f ″( a )( z – a )²]/2! + … See also Maclaurin's series

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of Taylor's series

C18: named after Brook Taylor (1685–1731), English mathematician

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Taylor's series

This function is analytic in the domain, and the power series representing it is the Taylor’s series for the function.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" by Various

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