The Broken Dice, and Other Mathematical Tales of ChanceUniversity of Chicago Press, 15/06/1996 - 183 páginas Ivar Ekeland extends his consideration of the catastrophe theory of the universe begun in his widely acclaimed Mathematics and the Unexpected, by drawing on rich literary sources, particularly the Norse saga of Saint Olaf, and such current topics as chaos theory, information theory, and particle physics. "Ivar Ekeland gained a large and enthusiastic following with Mathematics and the Unexpected, a brilliant and charming exposition of fundamental new discoveries in the theory of dynamical systems. The Broken Dice continues the same theme, and in the same elegant, seemingly effortless style, but focuses more closely on the implications of those discoveries for the rest of human culture. What are chance and probability? How has our thinking about them been changed by the discovery of chaos? What are all of these concepts good for? . . . Ah, but, I mustn't give the game away, any more than I should if I were reviewing a detective novel. And this is just as gripping a tale. . . . Beg, borrow, or preferably buy a copy. . . . I guarantee you won't be disappointed."—Ian Stewart, Science |
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Índice
Prologue | 1 |
Chance | 3 |
Fate | 33 |
Anticipation | 61 |
Chaos | 83 |
Risk | 129 |
Statistics 61 | 149 |
Conclusion | 171 |
177 | |
Palavras e frases frequentes
appear arithmetic Athenians bility Brother Edvin Brownian motion calculations cards celestial mechanics chance China syndrome choose contingent course create cycle dealer decimal decision demon deterministic dice digits distributed drakkar Earl Eirik earth entire entropy evolution example existence exponential instability Eyvind fact frequency Gunnar Gylippus Heimskringla human infinite number initial instant integers King Olaf large number laws Long Serpent look Lorenz's attractor mathematical mathematician means measure method Monte Carlo method Njal observations obtain occur Olaf Haraldsson Olaf Trygvesson Olaf's particles pass Pharaoh photon planet play player position possible precision predict proba probability probability theory quantum mechanics question random result risk rules Saga Selinus seven ship sion situation skald skaldic poetry Smale's Snorri Sturluson square statistical strategy succession theorem theory tion torus turn Visbur weather white balls X₁ zero
Referências a este livro
Joy and the Objects of Psychoanalysis: Literature, Belief, and Neurosis Volney P. Gay Pré-visualização limitada - 2001 |
The Years of High Econometrics: A Short History of the Generation that ... Francisco Louçã Pré-visualização indisponível - 2007 |