A history of probability and statistics and their applications before 1750
The first treatment of the early development of probability and statistics since Todhunter's History appeared in 1865. The present book describes the contemporaneous development and interaction of probability theory (and games of chance), statistics (particularly in astronomy and demography) and life insurance mathematics. Illustrates the development of the practice by means of typical examples, giving both the original data and their analysis at the time, and adding some comments from a modern point of view. To read and enjoy this intellectual history, the reader need know but little statistics or mathematics, for the presentation is relatively self-contained. This unique book evokes the life and works of the great natural philosophers who contributed to the development of probability theory and statistics and offers fascinating background material on the history of mathematics, natural philosophy and social conditions of the eras under discussion.
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The Book and Its Relation to Other Works
A Sketch of the Background in Mathematics and Natural
Early Concepts of Probability and Chance
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A's probability analysis annuities approximation Arbuthnott's astronomers banker Bernoulli's theorem binomial coefficients binomial distribution calculated Cardano cards christenings coefficients combinatorial Conjectandi considers corresponding denote derived dice difference equation discussion Doctrine of Chances duration of play equals error example Fermat find the probability function Galileo Gambler's Ruin games of chance gives Graunt Halley Halley's Huygens hypothesis integral James Bernoulli John Bernoulli Laplace large number Leibniz letter linear London mathematicians mathematics means method Moivre Moivre's Montmort mortality n games Newton Nicholas Bernoulli notation number of burials number of chances number of deaths number of male number of permutations number of points observations obtained paper Pascal players polynomial probability of winning probability theory problem of points proof Proposition prove published random ratio recursion recursion formula Simpson solution solved stake statistical Struyck throws Todhunter total number treatise Witt writes yearly number