Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics (Princeton Puzzlers) - Hardcover

Banks, Robert B.

Hardcover

ISBN 10: 0691059470 ISBN 13: 9780691059471

Publisher: Princeton University Press, 1999

Synopsis

Have you ever daydreamed about digging a hole to the other side of the world? Robert Banks not only entertains such ideas but, better yet, he supplies the mathematical know-how to turn fantasies into problem-solving adventures. In this sequel to the popular Towing Icebergs, Falling Dominoes (Princeton, 1998), Banks presents another collection of puzzles for readers interested in sharpening their thinking and mathematical skills. The problems range from the wondrous to the eminently practical. In one chapter, the author helps us determine the total number of people who have lived on earth; in another, he shows how an understanding of mathematical curves can help a thrifty lover, armed with construction paper and scissors, keep expenses down on Valentine's Day.


In twenty-six chapters, Banks chooses topics that are fairly easy to analyze using relatively simple mathematics. The phenomena he describes are ones that we encounter in our daily lives or can visualize without much trouble. For example, how do you get the most pizza slices with the least number of cuts? To go from point A to point B in a downpour of rain, should you walk slowly, jog moderately, or run as fast as possible to get least wet? What is the length of the seam on a baseball? If all the ice in the world melted, what would happen to Florida, the Mississippi River, and Niagara Falls? Why do snowflakes have six sides?


Covering a broad range of fields, from geography and environmental studies to map- and flag-making, Banks uses basic algebra and geometry to solve problems. If famous scientists have also pondered these questions, the author shares the historical details with the reader. Designed to entertain and to stimulate thinking, this book can be read for sheer personal enjoyment.

About this title

About the Author

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.

Reviews

How fast should you run in a rainstorm to best protect your shoes? As in his previous book, Towing Icebergs, Falling Dominoes (1998), 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 the polar ice caps. Although a few teasers require calculus or spherical trigonometry, Banks can generally get us there with nothing more daunting than algebra and geometry--generously garnished with his unpredictable wit. His lucid and lively approach allows even readers with no advanced training to share the centuries-old fascination with pi and the golden ratio and to peer over Newton's shoulder as he dissects the rainbow. 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. Bryce Christensen

Edition details

• Publisher: Princeton University Press
• Publication date: 1999
• Language: English
• ISBN 10: 0691059470
• ISBN 13: 9780691059471
• Binding: Hardcover
• Number of pages: 290