Independently from Euler and using the same methods, Maclaurin discovered the Euler–Maclaurin formula. He used it to sum powers of arithmetic progressions, derive Stirling's …

Colin Maclaurin (born February 1698, Kilmodan, Argyllshire, Scotland—died June 14, 1746, Edinburgh) was a Scottish mathematician who developed and extended Sir Isaac Newton ’s …

Jun 14, 2011 · Colin Maclaurin was a Scottish mathematician who published the first systematic exposition of Newton's methods, written as a reply to Berkeley's attack on the calculus for its …

Dec 3, 2025 · A Maclaurin series is a Taylor series expansion of a function about 0, Maclaurin series are named after the Scottish mathematician Colin Maclaurin. The Maclaurin series of a …

The Maclaurin series formula is a special case of the Taylor series formula. It is obtained by substituting a = 0 in the Taylor series formula.

A Maclaurin series can be used to approximate a function, find the antiderivative of a complicated function, or compute an otherwise uncomputable sum. Partial sums of a Maclaurin series …

This video introduces the Maclaurin series, a way to approximate functions using polynomials. It shows how to create better approximations by adding more terms, making the function and its …

Maclaurin’s formidable intellect enabled him to easily grasp even the most difficult principles. By the age of fifteen, he had publicly defended his thesis on the power of gravity, and was …

F irst mathematician to provide systematic proof of Sir Isaac Newton 's (1642-1727) theorems, Colin Maclaurin was also noted for his advances in geometry and applied physics.

The Maclaurin Series is similar to Taylor Series and helps us approximate functions with polynomials.