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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... possible we have tried to detail this, and some has far-reaching consequences, extending significantly beyond our treatment here, and we have tried to indicate this too. All-inall, we have collected together and attempted to explain a ...
... possible to convert mutual into common knowledge. For example, we could assemble a group of strangers in a room and then make the statement: the capital city of Australia is Canberra. If we assume that each individual already knew the ...
... possible, that Steve could have the better average in each of the two tests but a lower average overall? The matter at hand has nothing to do with the intricacies of cricket. The Ask Marilyn column in Parade Magazine (a supplement to ...
... possible to solve any of its forms with the information given, but the solutions do exist, and involve the use of one of the great conjectures of mathematics, the Goldbach Conjecture, which is described in the appendix (page 224) (see ...
... possible for it to be written as the sum of two primes. If this were the case, it would again mean that both x and y would be prime, in which case Sam could not be certain that Polly could not deduce the values of x and y. x + y is not ...
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 |