## Analysis – HW 5 – Newton’s method

This set is due Friday, December 6, at the beginning of lecture.

Newton’s method was introduced by Newton on De analysi in 1669. It was originally restricted to polynomials; his example in Methodus fluxionum was the cubic equation

$x^3-2x-5=0.$

Raphson simplified its description in 1690. The modern presentation, in full generality, is due to Simpson in 1740. Here, we are mostly interested in the dynamics of Newton’s method on polynomials.