Hald, Anders 　著

内容

目次

The Book and Its Relation to Other Works. A Sketch of the Background in Mathematics and Natural Philosophy. Early Concepts of Probability and Chance. Cardano and Liber de Ludo Aleae, c. 1565. The Foundation of Probability Theory by Pascal and Fermat in 1654. Huygens and De Ratiociniis in Ludo Aleae, 1657. John Graunt and the Observations Made upon the Bills of Mortality, 1662. The Probabilistic Interpretation of Graunt's Life Table. The Early History of Life Insurance Mathematics. Mathematical Models and Statistical Methods in Astronomy. The Newtonian Revolution in Mathematics and Science. Miscellaneous Contributions Between 1657 and 1708. The Great Leap Forward, 1708 – 1718: A Survey. New Solutions to Old Problems, 1708 – 1718. James Bernoulli and Ars Conjectandi, 1713. Bernoulli's Theorem. Tests of Significance Based on the Sex Ratio at Birth and the Binomial Distribution, 1712 – 1713. Montmort and the Essay d'Analyse sur les Jeux de Hazard, 1708 and 1713. The Problem of Coincidences and the Compound Probability Theorem. Nicholas Bernoulli. De Moivre and the Doctrine of Chances, 1718, 1738, and 1756. The Problems of the Duration of Play and the Method of Difference Equations. References. Index.