Intro -- Preface* -- Acknowledgment -- Introduction* -- Contents -- A Citizen's Dilemma* -- The Structure of Mathematics* -- A Danger Scale* -- Public Key Encryption I* -- Public Key Encryption II* -- Fractals -- Graphs* -- Military Math* -- Misusing Statistics: A Rant* -- Estimation* -- Ramanujan -- Hardy -- It's Obvious* -- Chaos* -- Recognition -- Map Coloring -- Groups* -- Topology I* -- Topology II* -- Nonexistence Proofs -- Existence Proofs -- Can't Be Computed -- Can't Be Proved -- Games* -- X-Ray Vision* -- The Greatest Three -- Being Choosy* -- To Infinity and Beyond* -- The Largest Hotel Ever* -- Tied Up in Knots* -- Probably -- Rush Hour Traffic* -- Fermat and His Last Theorem -- A Million Bucks* -- Russia Versus America -- Cardano, Viète, and Notation -- President James Garfield -- Error-Correcting Codes* -- Mercator Maps* -- Ball and Saddle Geometries -- The Spherical Earth -- Consistency -- Can So Be Proved -- My Face Is Complex, Yours Is Imaginary -- Cycloids -- C******* of Variations* -- Amazing Waves* -- How to Push a Pendulum* -- Surprising Theorems -- Mathematical Aesthetics* -- Katherine Johnson's Math* -- My Career as a Mathematician* -- Karen's New Perspective* -- Afterword* -- Doing Metric Right -- Movies About Real Mathematicians* -- Further Reading*. |