Front matter -- Contents -- Foreword / Penrose, Roger -- Introduction / Pitici, Mircea -- The Prospects for Mathematics in a Multimedia Civilization / Davis, Philip J. -- Fearful Symmetry / Stewart, Ian -- E pluribus unum: From Complexity, Universality / Tao, Terence -- Degrees of Separation / Goth, Gregory -- Randomness / Seife, Charles -- Randomness in Music / Knuth, Donald E. -- Playing the Odds / Johnson, Soren -- Machines of the Infinite / Pavlus, John -- Bridges, String Art, and Bézier Curves / Gross, Renan -- Slicing a Cone for Art and Science / Silver, Daniel S. -- High Fashion Meets Higher Mathematics / Delp, Kelly -- The Jordan Curve Theorem Is Nontrivial / Ross, Fiona / Ross, William T. -- Why Mathematics? What Mathematics? / Sfard, Anna -- Math Anxiety: Who Has It, Why It Develops, and How to Guard against It / Maloney, Erin A. / Beilock, Sian L. -- How Old Are the Platonic Solids? / Lloyd, David R. -- Early Modern Mathematical Instruments / Bennett, Jim -- A Revolution in Mathematics? What Really Happened a Century Ago and Why It Matters Today / Quinn, Frank -- Errors of Probability in Historical Context / Gorroochurn, Prakash -- The End of Probability / Ayache, Elie -- An abc Proof Too Tough Even for Mathematicians / Hartnett, Kevin -- Contributors -- Notable Texts -- Acknowledgments -- Credits |