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BERNOULLI, Jakob I (1654-1705). Ars conjectandi, opus posthumum. Accedit tractatus de seriebus infinitis, et epistola Gallicè scripta de ludo pilae reticularis, edited by Nicolaus I Bernoulli (1687-1759). Basel: Thurneisen Brothers, 1713.
4° (197 x 151mm). Woodcut device on title, 2 folding letterpress tables, folding woodcut diagram, unsigned, several woodcut diagrams in text. (Title lightly spotted and a little dust-soiled, a few quires browned.) Prize binding of mid-19th-century calf, spine gilt with red morocco lettering-piece, gilt stamp of University College London on covers, marbled edges and endpapers (rubbed, some discolouration and light scuff marks to covers). Provenance: Alexander Waugh Young (UCL prize label, stating that the book was awarded as 'first prize in the higher class of mathematics').
FIRST EDITION OF BERNOULLI'S FOUNDATION WORK ON THE SCIENCE OF PROBABILITY: 'Even as the finite encloses an infinite series/In the unlimited limits appear'. Left incomplete but published posthumously by his nephew, Nikolaus I, his work aided the development of 18th-century mercantile theory, in particular money-lending and insurance. The first part forms a commentary on Huygens's De ratiociniis in aleae ludo, published as an appendix to Schooten's Exercitationes mathematicae (1657). In dealing with the theory of combinations in part two, Bernoulli analyses the contributions made by van Schooten, Leibnitz, Wallis, and Jean Prestet, himself introducing the term 'permutations' for the first time. The third part examines the expectation of profit in various games of chance; while the fourth and most important part contains the philosophical thoughts on probability that are especially characteristic of Bernoulli. The 'Lettre à un amy, sur les parties du jeu de paume' at the end forms a penetrating discussion of this complex predecessor of tennis. DSB p. 50; Dibner Heralds of Science 110; Grolier/Horblit 12: 'establishment of the fundamental principles of the calculus of probabilities'; Norman 216; PMM 179.
4° (197 x 151mm). Woodcut device on title, 2 folding letterpress tables, folding woodcut diagram, unsigned, several woodcut diagrams in text. (Title lightly spotted and a little dust-soiled, a few quires browned.) Prize binding of mid-19th-century calf, spine gilt with red morocco lettering-piece, gilt stamp of University College London on covers, marbled edges and endpapers (rubbed, some discolouration and light scuff marks to covers). Provenance: Alexander Waugh Young (UCL prize label, stating that the book was awarded as 'first prize in the higher class of mathematics').
FIRST EDITION OF BERNOULLI'S FOUNDATION WORK ON THE SCIENCE OF PROBABILITY: 'Even as the finite encloses an infinite series/In the unlimited limits appear'. Left incomplete but published posthumously by his nephew, Nikolaus I, his work aided the development of 18th-century mercantile theory, in particular money-lending and insurance. The first part forms a commentary on Huygens's De ratiociniis in aleae ludo, published as an appendix to Schooten's Exercitationes mathematicae (1657). In dealing with the theory of combinations in part two, Bernoulli analyses the contributions made by van Schooten, Leibnitz, Wallis, and Jean Prestet, himself introducing the term 'permutations' for the first time. The third part examines the expectation of profit in various games of chance; while the fourth and most important part contains the philosophical thoughts on probability that are especially characteristic of Bernoulli. The 'Lettre à un amy, sur les parties du jeu de paume' at the end forms a penetrating discussion of this complex predecessor of tennis. DSB p. 50; Dibner Heralds of Science 110; Grolier/Horblit 12: 'establishment of the fundamental principles of the calculus of probabilities'; Norman 216; PMM 179.
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