BERNOULLI, Jacques Ars conjectandi ... Accedit tractatus de seriebus infinitis, et epistola Gallice scripta de ludo pilae reticularis. Basle, Thurneisser Brothers, 1713
4to (203 x 155 mm), pp [iv] 306; 35 [1], with two folding tables and one folding plate, a few leaves slightly browned; a fine copy in contemporary vellum over boards, spine lettered in gilt. £12,000
First edition, a fine copy of the work which established the fundamental principles of the calculus of probabilities. When Bernoulli died in 1705 he left behind a legacy of unpublished works on many topics in mathematics. 'The most important of these concerned probability. Bernoulli had worried over problems of the a posteriori determination of chances for twenty years before he died, and it was the fruits of these labors that were the focus of the major treatise his nephew finally produced in 1713, the Ars Conjectandi.
'Bernoulli's book has variously been regarded as the beginning of the mathematical theory of probability and as the end of the emergence of the concept of probability... The book is remarkable in many aspects, from its advances in combinatorics (including the "Bernoulli numbers") to its pathbreaking analysis of the interpretation of evidence ... [and the] introduction in the fourth part of what has come to be regarded as the first law of large numbers' (Stigler, The History of Statistics, p 64).
Dibner 110; Evans 8; Horblit 12; Norman 216; Parkinson p 140; PMM 179
£12000
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