Creating Modern Probability: Its Mathematics, Physics and Philosophy in Historical PerspectiveCambridge University Press, 12 de gen. 1998 - 323 pàgines This is the only book to chart the history and development of modern probability theory. It shows how in the first thirty years of this century probability theory became a mathematical science. The author also traces the development of probabilistic concepts and theories in statistical and quantum physics. There are chapters dealing with chance phenomena, and current major mathematical theories, together with their foundational and philosophical problems. Among the theorists whose work is treated at some length are Kolmogorov, von Mises and de Finetti. |
Continguts
Pathways to modern probability | 27 |
Probability in statistical physics | 119 |
10 | 127 |
18 | 140 |
Quantum mechanical probability and indeterminism | 142 |
2222 | 154 |
36 | 160 |
Classical embeddings of probability and chance | 164 |
Von Mises frequentist probabilities | 179 |
46 | 184 |
Kolmogorovs measure theoretic probabilities | 198 |
De Finettis subjective probabilities | 238 |
Nicole Oresme and the ergodicity of rotations | 279 |
| 289 | |
| 319 | |
Altres edicions - Mostra-ho tot
Creating Modern Probability: Its Mathematics, Physics and Philosophy in ... Jan von Plato Previsualització no disponible - 1998 |
Creating Modern Probability: Its Mathematics, Physics and Philosophy in ... Jan von Plato Previsualització no disponible - 1994 |
Frases i termes més freqüents
Annalen arbitrary assumed assumption atoms average axiomatization axioms Boltzmann Borel Brownian motion calculus of probability causal chance classical mechanics concept of probability continued fractions continuous defined definition denumerable denumerable additivity derivation determined discussion Einstein energy ensemble equation ergodic hypothesis ergodic theory example exchangeable Finetti finite number follows formulation frequentist function given gives Grundbegriffe Heisenberg Hilbert idea incommensurability independent indeterminism indeterminist infinite infinity interpretation Khintchine kinetic Kolmogorov large numbers later law of large limit of relative logical Markov mathematical Mathematische matrix mechanics Maxwell measure theoretic measure theoretic probability Mises modern probability observable Oresme paper particles philosophical Poincaré possible probabilistic laws probability law probability theory problem quantum mechanics quantum theory random processes random sequences random variables real number relative frequency says Schrödinger Smoluchowski space statistical law statistical mechanics statistical physics stochastic processes subjective probability theorem trajectory Ueber velocity wave mechanics Weyl Zeitschrift