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1 Burnside - Bldg. 2 Mathematics- Popular Surveys and Recreational

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

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

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

"An imaginative collection of popular engineering problems, worked out completely, and whose solutions are within the grasp of anyone with a knowledge of elementary differential equations. Even without this knowledge, the surrounding discussions are both revealing and entertaining."--Philip J. Davis, author of Mathematical Encounters of the Second Kind

Table of Contents

Preface
Acknowledgments
Ch. 1Units and Dimensions and Mach Numbers3
Ch. 2Alligator Eggs and the Federal Debt15
Ch. 3Controlling Growth and Perceiving Spread24
Ch. 4Little Things Falling from the Sky31
Ch. 5Big Things Falling from the Sky42
Ch. 6Towing and Melting Enormous Icebergs: Part I54
Ch. 7Towing and Melting Enormous Icebergs: Part II68
Ch. 8A Better Way to Score the Olympics79
Ch. 9How to Calculate the Economic Energy of a Nation93
Ch. 10How to Start Football Games, and Other Probably Good Ideas109
Ch. 11Gigantic Numbers and Extreme Exponents121
Ch. 12Ups and Downs of Professional Football133
Ch. 13A Tower, a Bridge, and a Beautiful Arch150
Ch. 14Jumping Ropes and Wind Turbines168
Ch. 15The Crisis of the Deficit: Gompertz to the Rescue179
Ch. 16How to Reduce the Population with Differential Equations189
Ch. 17Shot Puts, Basketballs, and Water Fountains201
Ch. 18Balls and Strikes and Home Runs219
Ch. 19Hooks and Slices and Holes in One234
Ch. 20Happy Landings in the Snow243
Ch. 21Water Waves and Falling Dominoes254
Ch. 22Something Shocking about Highway Traffic270
Ch. 23How Tall Will I Grow?283
Ch. 24How Fast Can Runners Run?300
References321
Index327

Product Details

ISBN:
9780691059488
Author:
Banks, Robert
Publisher:
Princeton University Press
Author:
Banks, Robert B.
Location:
Princeton, N.J. :
Subject:
Mathematics
Subject:
Applied
Subject:
Popular works
Subject:
Mathematics -- Popular works.
Subject:
Physics
Copyright:
Publication Date:
19981130
Binding:
Hardback
Grade Level:
College/higher education:
Language:
English
Illustrations:
6 halftones 72 line illus. 42 tables
Pages:
427
Dimensions:
9 x 6 in

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Science and Mathematics » Mathematics » Popular Surveys and Recreational

Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics Used Hardcover
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Product details 427 pages Princeton University Press - English 9780691059488 Reviews:
"Synopsis" by , "An imaginative collection of popular engineering problems, worked out completely, and whose solutions are within the grasp of anyone with a knowledge of elementary differential equations. Even without this knowledge, the surrounding discussions are both revealing and entertaining."--Philip J. Davis, author of Mathematical Encounters of the Second Kind
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