What Newton Might Have Known: Experimental Mathematics in the Classroom
Neil J. Calkin, Killian Davis, Evan Haithcock, Catherine Kenyon, Sylvia Wu · American Mathematical Monthly · 2021
We will discuss introducing ideas from experimental mathematics into a Computing for Mathematicians class. We will focus on how the class can be led to rediscover some facts about the Newton–Raphson (or the Babylonian) method for approximating square roots. We apply these ideas to describe the behavior of this algorithm for both real and complex square roots.