Impossible?: Surprising Solutions to Counterintuitive ConundrumsPrinceton University Press, 21 apr. 2008 - 235 sidor In Nonplussed!, popular-math writer Julian Havil delighted readers with a mind-boggling array of implausible yet true mathematical paradoxes. Now Havil is back with Impossible?, another marvelous medley of the utterly confusing, profound, and unbelievable--and all of it mathematically irrefutable. Whenever Forty-second Street in New York is temporarily closed, traffic doesn't gridlock but flows more smoothly--why is that? Or consider that cities that build new roads can experience dramatic increases in traffic congestion--how is this possible? What does the game show Let's Make A Deal reveal about the unexpected hazards of decision-making? What can the game of cricket teach us about the surprising behavior of the law of averages? These are some of the counterintuitive mathematical occurrences that readers encounter in Impossible? Havil ventures further than ever into territory where intuition can lead one astray. He gathers entertaining problems from probability and statistics along with an eclectic variety of conundrums and puzzlers from other areas of mathematics, including classics of abstract math like the Banach-Tarski paradox. These problems range in difficulty from easy to highly challenging, yet they can be tackled by anyone with a background in calculus. And the fascinating history and personalities associated with many of the problems are included with their mathematical proofs. Impossible? will delight anyone who wants to have their reason thoroughly confounded in the most astonishing and unpredictable ways. |
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... Problem solving–Miscellanea. I. Title. QA99.H379 2008 510–dc22 2007051792 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library This book has been composed in LucidaBright ...
... Problem Chapter 4 Braess's Paradox Chapter 5 The Power of Complex Numbers Chapter 6 Bucking the Odds Chapter 7 Cantor's Paradise Chapter 8 Gamow–Stern Elevators Chapter 9 The Toss of a Coin xi 11 21 31 39 50 68 82 88 Chapter 10 Wild ...
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Chapter | 10 |
Chapter | 11 |
Chapter 4 | 31 |
Chapter 6 | 50 |
Chapter 7 | 68 |
Chapter 8 | 82 |
WildCard Poker | 103 |
Chapter 12 | 131 |
Chapter 13 | 146 |
Chapter 14 | 165 |
Chapter 16 | 190 |
Chapter 18 | 210 |
233 | |
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Impossible?: Surprising Solutions to Counterintuitive Conundrums Julian Havil Begränsad förhandsgranskning - 2011 |
Impossible?: Surprising Solutions to Counterintuitive Conundrums Julian Havil Begränsad förhandsgranskning - 2008 |
Impossible?: Surprising Solutions to Counterintuitive Conundrums Julian Havil Ingen förhandsgranskning - 2011 |