Maclaurin's series

noun Mac·lau·rin's series \məˈklȯrən(z)-\
variants: or

Maclaurin series

Definition of Maclaurin's series

mathematics

  1. :  a Taylor series that gives the expansion of the function f(x) in the neighborhood of zero subject to the constraints holding for a Taylor series and that consists of a first term equal to f(0) with the (n + 1)st term consisting of the derivative of nth order of the function evaluated at zero multiplied by x raised to the exponent n and divided by n!

There's more!

Love words? You must — there are over 200,000 words in our free online dictionary, but you are looking for one that’s only in the Merriam-Webster Unabridged Dictionary.

Start your free trial today and get unlimited access to America's largest dictionary, with:

  • More than 250,000 words that aren't in our free dictionary
  • Expanded definitions, etymologies, and usage notes
  • Advanced search features
  • Ad free!
Already a subscriber? Log in.

Origin and Etymology of maclaurin's series

after Colin Maclaurin †1746 Scottish mathematician


Seen and Heard

What made you want to look up Maclaurin's series? Please tell us where you read or heard it (including the quote, if possible).

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!