Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics
Princeton University Press (Verlag)
9780691158181 (ISBN)
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. Here Robert Banks presents a wide range of musings, both practical and entertaining, that have intrigued him and others: How tall can one grow? Why do we get stuck in traffic? Which football player would have a better chance of breaking away--a small, speedy wide receiver or a huge, slow linebacker? Can California water shortages be alleviated by towing icebergs from Antarctica? What is the fastest the 100-meter dash will ever be run? 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.
This book, which requires of its readers only a basic understanding of high school or college math, is for anyone fascinated by the workings of mathematics in our everyday lives, as well as its applications to what may be imagined. All will be rewarded with a myriad of interesting problems and the know-how to solve them.
Robert B. Banks (1922-2002) was Professor of Engineering at Northwestern University and Dean of Engineering at the University of Illinois at Chicago. He served with the Ford Foundation in Mexico City and with the Asian Institute of Technology in Bangkok. He won numerous national and international honors, including being named Commander of the Order of the White Elephant by the King of Thailand and Commandeur dans l'Ordre des Palmes Academiques by the government of France. He is the author of Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics (Princeton).
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
| Reihe/Serie | Princeton Puzzlers |
|---|---|
| Zusatzinfo | 6 halftones. 72 line illus. 42 tables. |
| Verlagsort | New Jersey |
| Sprache | englisch |
| Maße | 140 x 216 mm |
| Gewicht | 28 g |
| Themenwelt | Sachbuch/Ratgeber ► Natur / Technik |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften | |
| ISBN-13 | 9780691158181 / 9780691158181 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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