Maclaurin Series
Maclaurin Series
Maclaurin Series
The Maclaurin Series is an infinite polynomial series used to express a function in terms of the derivatives of the function at x = 0.
The Maclaurin Series is an infinite polynomial series used to express a function in terms of the derivatives of the function at x = 0.
Proof
Proof
Explore!
Explore!
Use the applet below to explore how the sum of terms in a Maclaurin Series approximates to the original function.
Use the applet below to explore how the sum of terms in a Maclaurin Series approximates to the original function.
Colin Maclaurin (1698 - 1746)
Colin Maclaurin (1698 - 1746)
Maclaurin was a genius of his time entering university at 11 and became professor of Mathematics at the young age of 19, a record that will remain unbroken until Alia Sabur (2008).
Maclaurin was a genius of his time entering university at 11 and became professor of Mathematics at the young age of 19, a record that will remain unbroken until Alia Sabur (2008).
He published 2 treatises before 21 expanding on the works of Newton and Stirling. A key thing to note is that Maclaurin was not the first to discover the Maclaurin Series which is just a special case of the Taylor Series.
He published 2 treatises before 21 expanding on the works of Newton and Stirling. A key thing to note is that Maclaurin was not the first to discover the Maclaurin Series which is just a special case of the Taylor Series.
