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Although we seldom think of it, our lives are played out in a world of numbers. Such common activities as throwing baseballs, skipping rope, growing flowers, playing football, measuring savings accounts, and many others are inherently mathematical. So are more speculative problems that are simply fun to ponder in themselves--such as the best way to score Olympic events. The book's twenty-four concise chapters, each centered on a real-world phenomenon, are presented in an informal and engaging manner. Banks shows how math and simple reasoning together may produce elegant models that explain everything from the federal debt to the proper technique for ski-jumping.
List of contents
Preface ix Acknowledgments xiii Chapter 1 Units and Dimensions and Mach Numbers 3 Chapter 2 Alligator Eggs and the Federal Debt 15 Chapter 3 Controlling Growth and Perceiving Spread 24 Chapter 4 Little Things Falling from the Sky 31 Chapter 5 Big Things Falling from the Sky 42 Chapter 6 Towing and Melting Enormous Icebergs: Part I 54 Chapter 7 Towing and Melting Enormous Icebergs: Part II 68 Chapter 8 A Better Way to Score the Olympics 79 Chapter 9 How to Calculate the Economic Energy of a Nation 93 Chapter 10 How to Start Football Games, and Other Probably Good Ideas 10 Chapter 11 Gigantic Numbers and Extreme Exponents 121 Chapter 12 Ups and Downs of Professional Football 133 Chapter 13 A Tower, a Bridge, and a Beautiful Arch 150 Chapter 14 Jumping Ropes and Wind Turbines 168 Chapter 15 The Crisis of the Deficit: Gompertz to the Rescue 179 Chapter 16 How to Reduce the Population with Differential Equations 189 Chapter 17 Shot Puts, Basketballs, and Water Fountains 201 Chapter 18 Balls and Strikes and Home Runs 219 Chapter 19 Hooks and Slices and Holes in One 234 Chapter 20 Happy Landings in the Snow 243 Chapter 21 Water Waves and Falling Dominoes 254 Chapter 22 Something Shocking about Highway Traffic 270 Chapter 23 How Tall Will I Grow? 283 Chapter 24 How Fast Can Runners Run? 300 References 321 Index 327
About the author
Robert B. Banks
Summary
Paperback ressiue, for the Princeton Puzzler's Series, 2013.
Additional text
"The book stands out because the examples are all treated as real-life examples with real data, and taking into account all the complications that are usually left out in academic examples: the earth is not a perfect sphere, a baseball is rough because of its stitches, it is thrown with spin, there is resistance of the air, and the resistance differs with the height, etc. Even though, there are a lot of formulas and numbers, the reading is pleasant and smooth."---A. Bultheel, European Mathematical Society
