
05986900
j
2012d.00608
Kaplan, Samuel R.
The Dottie number.
Math. Mag. 80, No. 1, 7374 (2007).
2007
Mathematical Association of America (MAA), Washington, DC
EN
N55
I45
I85
fixed points
roots
Summary: The unique root of $\cos(x)=x$ is dubbed the Dottie number. This root is a simple nontrivial example of a universal attracting fixed point. The story of how the Dottie number got its name and mathematical concepts relating to this value can be used as teaching tools. Pedagogical examples are given for several courses ranging from Calculus I to Complex Analysis.