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The Dottie number. (English)
Math. Mag. 80, No. 1, 73-74 (2007).
Summary: The unique root of $\cos(x)=x$ is dubbed the Dottie number. This root is a simple non-trivial 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.
Classification: N55 I45 I85
Keywords: fixed points; roots