Essai philosophique sur les probabilités (Cambridge Library Collection - Mathematics) (French Edition)

The work of the Marquis de Laplace (1749-1827) was enormously influential in the development of mathematical physics, astronomy and statistics. Educated in Normandy, he moved to Paris on obtaining a letter of introduction to d'Alembert, who acted as his mentor while he undertook teaching and independent research in probability, statistics and astronomy. Laplace survived the turmoil of the French Revolution, the rise of Napoleon and the restoration of the Bourbons by a series of manoeuvres which gave him a reputation for insincerity and hypocrisy even among his peers who could correctly assess his contributions to science. His Essai philosophique sur les probabilit?s, first published in 1814, and of which the fifth edition, revised by the author, is presented here, is a fundamental work which establishes six principles of probability in mathematical terms. Cover......Page 1 Frontmatter......Page 6 Contents......Page 8 ESSAI PHILOSOPHIQUE SUR LES PROBABILITÉS......Page 10 De la Probabilité......Page 11 Principes généraux du Calcul des Probabilités......Page 21 De l'Espérance......Page 33 Des Méthodes analytiqus du Calcul des Probabilités......Page 40 Des Jeux......Page 76 Des inégalités inconnues qui peuvent exister entre les chances que l'on suppose égales......Page 78 Des Lois de la Probabilité, qui résultent de la multiplication indéfinie des évènemens......Page 83 Application du Calcul des Probabilités, à la Philosophie naturelle......Page 100 Application du Calcul des Probabilités aux sciences morales......Page 145 De la Probabilité des témoignages......Page 146 Des choix et des décisions des assemblées......Page 167 De la probabilité des Jugemens des tribunaux......Page 174 Des Tables de mortalité et des durées moyennes de la vie, des mariages et des associations quelconques......Page 183 Des Bénéfices des établissemens qui dépendent de la probabilité des évènemens......Page 194 Des Illusions dans l'estimation des Probabilités......Page 207 Des divers moyens d'approcher de la certitude......Page 258 Notice historique sur le Calcul des Probabilités......Page 270 The work of the Marquis de Laplace (1749–1827) was enormously influential in the development of mathematical physics, astronomy and statistics. Educated in Normandy, he moved to Paris on obtaining a letter of introduction to d'Alembert, who acted as his mentor while he undertook teaching and independent research in probability, statistics and astronomy. Laplace survived the turmoil of the French Revolution, the rise of Napoleon and the restoration of the Bourbons by a series of manoeuvres which gave him a reputation for insincerity and hypocrisy even among his peers who could correctly assess his contributions to science. His Essai philosophique sur les probabilités, first published in 1814, and of which the fifth edition, revised by the author, is presented here, is a fundamental work which establishes six principles of probability in mathematical terms. The work of the Marquis de Laplace (1749-1827) was enormously influential on the development of mathematical physics, astronomy and statistics. His Essai philosophique sur les probabilites, first published in 1814, is a fundamental work which establishes six principles of probability in mathematical terms.