fbpx
Wikipedia

The Doctrine of Chances

The Doctrine of Chances was the first textbook on probability theory, written by 18th-century French mathematician Abraham de Moivre and first published in 1718.[1] De Moivre wrote in English because he resided in England at the time, having fled France to escape the persecution of Huguenots. The book's title came to be synonymous with probability theory, and accordingly the phrase was used in Thomas Bayes' famous posthumous paper An Essay towards solving a Problem in the Doctrine of Chances, wherein a version of Bayes' theorem was first introduced.

Front page of the 1st edition of the “Doctrine of Chances”.

Editions edit

The full title of the first edition was The doctrine of chances: or, a method for calculating the probabilities of events in play; it was published in 1718, by W. Pearson, and ran for 175 pages. Published in 1738 by Woodfall and running for 258 pages, the second edition of de Moivre's book introduced the concept of normal distributions as approximations to binomial distributions. In effect de Moivre proved a special case of the central limit theorem. Sometimes his result is called the theorem of de Moivre–Laplace. A third edition was published posthumously in 1756 by A. Millar, and ran for 348 pages; additional material in this edition included an application of probability theory to actuarial science in the calculation of annuities.[1]

References edit

  1. ^ a b Schneider, Ivor (2005), "Abraham De Moivre, The Doctrine of Chances (1718, 1738, 1756)", in Grattan-Guinness, I. (ed.), Landmark Writings in Western Mathematics 1640–1940, Amsterdam: Elsevier, pp. 105–120, ISBN 0-444-50871-6.

Further reading edit

  • Hald, Anders (1990), "De Moivre and the Doctrine of Chances, 1718, 1738, and 1756", History of Probability and Statistics and Their Applications before 1750, Wiley Series in Probability and Statistics, Wiley Interscience, p. 397.

External links edit

  • The third edition of The Doctrine of Chances.
  • Full text of “The Doctrine of Chances”, 1st edition; from books.google.com
  • The Doctrine of Chance at MathPages

doctrine, chances, rule, evidence, doctrine, chances, this, article, needs, additional, citations, verification, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, news, newspape. For the rule of evidence in law see doctrine of chances This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources The Doctrine of Chances news newspapers books scholar JSTOR November 2020 Learn how and when to remove this template message The Doctrine of Chances was the first textbook on probability theory written by 18th century French mathematician Abraham de Moivre and first published in 1718 1 De Moivre wrote in English because he resided in England at the time having fled France to escape the persecution of Huguenots The book s title came to be synonymous with probability theory and accordingly the phrase was used in Thomas Bayes famous posthumous paper An Essay towards solving a Problem in the Doctrine of Chances wherein a version of Bayes theorem was first introduced Front page of the 1st edition of the Doctrine of Chances Contents 1 Editions 2 References 3 Further reading 4 External linksEditions editThe full title of the first edition was The doctrine of chances or a method for calculating the probabilities of events in play it was published in 1718 by W Pearson and ran for 175 pages Published in 1738 by Woodfall and running for 258 pages the second edition of de Moivre s book introduced the concept of normal distributions as approximations to binomial distributions In effect de Moivre proved a special case of the central limit theorem Sometimes his result is called the theorem of de Moivre Laplace A third edition was published posthumously in 1756 by A Millar and ran for 348 pages additional material in this edition included an application of probability theory to actuarial science in the calculation of annuities 1 References edit a b Schneider Ivor 2005 Abraham De Moivre The Doctrine of Chances 1718 1738 1756 in Grattan Guinness I ed Landmark Writings in Western Mathematics 1640 1940 Amsterdam Elsevier pp 105 120 ISBN 0 444 50871 6 Further reading editHald Anders 1990 De Moivre and the Doctrine of Chances 1718 1738 and 1756 History of Probability and Statistics and Their Applications before 1750 Wiley Series in Probability and Statistics Wiley Interscience p 397 External links editThe third edition of The Doctrine of Chances Full text of The Doctrine of Chances 1st edition from books google com The Doctrine of Chance at MathPages Retrieved from https en wikipedia org w index php title The Doctrine of Chances amp oldid 1203329214, wikipedia, wiki, book, books, library,

article

, read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.