Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics

Preface ix Acknowledgments xiii Chapter 1 Broad Stripes and Bright Stars 3 Chapter 2 More Stars, Honeycombs, and Snowflakes 13 Chapter 3 Slicing Things Like Pizzas and Watermelons 23 Chapter 4 Raindrops Keep Falling on My Head and Other Goodies 34 Chapter 5 Raindrops and Other Goodies Revisited 44 Chapter 6 Which Major Rivers Flow Uphill? 49 Chapter 7 A Brief Look at pi, e, and Some Other Famous Numbers 57 Chapter 8 Another Look at Some Famous Numbers 69 Chapter 9 Great Number Sequences: Prime, Fibonacci, and Hailstone 78 Chapter 10 A Fast Way to Escape 97 Chapter 11 How to Get Anywhere in About Forty-Two Minutes 105 Chapter 12 How Fast Should You Run in the Rain? 114 Chapter 13 Great Turtle Races: Pursuit Curves 123 Chapter 14 More Great Turtle Races: Logarithmic Spirals 131 Chapter 15 How Many People Have Ever Lived? 138 Chapter 16 The Great Explosion of 2023 146 Chapter 17 How to Make Fairly Nice Valentines 153 Chapter 18 Somewhere Over the Rainbow 163 Chapter 19 Making Mathematical Mountains 177 Chapter 20 How to Make Mountains out of Molehills 184 Chapter 21 Moving Continents from Here to There 196 Chapter 22 Cartography: How to Flatten Spheres 204 Chapter 23 Growth and Spreading and Mathematical Analogies 219 Chapter 24 How Long Is the Seam on a Baseball? 232 Chapter 25 Baseball Seams, Pipe Connections, and World Travels 247 Chapter 26 Lengths, Areas, and Volumes of All Kinds of Shapes 256 References 279 Index 285

Robert B. Banks (1922-2002) was the author of Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics (Princeton). He was professor of engineering at Northwestern University and dean of engineering at the University of Illinois at Chicago.

[Banks displays] a playful imagination and love of the fantastic that one would not ordinarily associate with a mathematical engineer... Banks's style is entertaining but never condescending. -- The Christian Science Monitor Banks turns trivial questions into mind-expanding demonstrations of the magical powers of mathematics. Nor does he restrict himself to trivial questions: his shrewd analyses coax secrets out of such weighty topics as global population growth and the melting of polar ice caps... Not a math textbook which teaches readers how to solve set types of problems, this collection of puzzles does something far more important: it teaches us how to delight in unexpected challenges to our numerical imagination. -- Booklist