The helicoid is a classical example of a minimal surface in three-dimensional space. This article explains why a minimal surface that is an embedded disk must be either a graph or a piece of a helicoid. (pp. 327)
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The Clay mathematics Institute has offered one million dollars for a proof that the nontrivial zeros of the Riemann zeta function lie on a line. The author sketches some of the approaches to this famously difficult unsolved problem. (pp. 341)
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