The Doctrine of Permutations and Combinations, Being an Essential and Fundamental Part of the Doctrine of Chances: As It Is Delivered by Mr. James Bernoulli, in His Excellent Treatise on the Doctrine - Hardcover
Synopsis
This book is a valuable treatise on the doctrine of permutations and combinations, core fundamentals of the theory of chances, with an exposition of Sir Isaac Newton's famous binomial theorem in the case of integral powers and an appendix offering a memoir on the extraction of cube roots. Topics covered include combinations, alternations, and aliquot parts, as well as the properties of figurate numbers, and other curious arithmetical questions. The author provides a rigorous examination of the subject and its principles, deducing conclusions with accuracy and regularity. By examining the nature of combinations, the author was even led to contemplate the gurate numbers, or those numbers formed from a series of equal numbers by continual addition. This book and its insights on probability and combinatorics were considered foundational at the time of its writing, and they remain important today.
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1731-1824
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