Impossible?: Surprising Solutions to Counterintuitive ConundrumsPrinceton University Press, 28/03/2011 - 264 páginas 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. |
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... least one person here is wearing a red hat.' This hardly seems revelatory. Notwithstanding the seeming irrelevance of the announcement, once it is made it is certain that after the subsequent fifteenth strike of the clock, all fifteen ...
... least i people are wearing red hats'. Now suppose that at the ith strike of the clock Ri is common knowledge. If no redhatted individual can tell if his hat is red, it must be that Ri+1 is true since each must be seeing at least i red ...
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Índice
1 | |
3 | |
11 | |
21 | |
CHAPTER 4 Braesss Paradox | 31 |
CHAPTER 5 The Power of Complex Numbers | 39 |
CHAPTER 6 Bucking the Odds | 50 |
CHAPTER 7 Cantors Paradise | 68 |
CHAPTER 12 Two Card Tricks | 131 |
CHAPTER 13 The Spin of a Needle | 146 |
CHAPTER 14 The Best Choice | 165 |
CHAPTER 15 The Power of Powers | 176 |
CHAPTER 16 Benfords Law | 190 |
CHAPTER 17 Goodstein Sequences | 201 |
CHAPTER 18 The BanachTarski Paradox | 210 |
THE MOTIFS | 217 |
CHAPTER 8 GamowStern Elevators | 82 |
CHAPTER 9 The Toss of a Coin | 88 |
CHAPTER 10 WildCard Poker | 103 |
CHAPTER 11 Two Series | 113 |
APPENDIX | 221 |
Index | 233 |
Outras edições - Ver tudo
Impossible?: Surprising Solutions to Counterintuitive Conundrums Julian Havil Pré-visualização limitada - 2008 |
Impossible?: Surprising Solutions to Counterintuitive Conundrums Julian Havil Pré-visualização indisponível - 2011 |