Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics

Front Cover
Princeton University Press, 2002 - Mathematics - 328 pages

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.

 

Contents

Units and Dimensions and Mach Numbers
1
Alligator Eggs and the Federal Debt
13
Controlling Growth and Perceiving Spread
22
Little Things Falling from the Sky
29
Big Things Falling from the Sky
40
Towing and Melting Enormous Icebergs Part I
52
Towing and Melting Enormous Icebergs Part II
66
A Better Way to Score the Olympics
77
The Crisis of the Deficit Gompertz to the Rescue
177
How to Reduce the Population with Differential Equations
187
Shot Puts Basketballs and Water Fountains
199
Balls and Strikes and Home Runs
217
Hooks and Slices and Holes in One
232
Happy Landings in the Snow
241
Water Waves and Falling Dominoes
252
Something Shocking about Highway Traffic
268

How to Calculate the Economic Energy of a Nation
91
How to Start Football Games and Other Probably Good Ideas
107
Gigantic Numbers and Extreme Exponents
119
Ups and Downs of Professional Football
131
A Tower a Bridge and a Beautiful Arch
148
Jumping Ropes and Wind Turbines
166
How Tall Will I Grow?
281
How Fast Can Runners Run?
298
References
319
Index
325
Copyright

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Page xi - In general, the friction factor is a function of the Reynolds number, Re, and the relative roughness of the pipe, e/D.
Page xii - R is the so-called universal gas constant, m is the molecular weight of the gas, and T is the absolute temperature.

About the author (2002)

Robert B. Banks was a 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.

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