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The Doctrine of Chances: A Method of Calculating the Probabilities of Events in Play
A. de Moivre
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AMS Chelsea Publishing
1967; 368 pp; hardcover
Volume: 200
Reprint/Revision History:
first AMS printing 2000
ISBN-10: 0-8218-2103-2
ISBN-13: 978-0-8218-2103-9
List Price: US$47
Member Price: US$42.30
Order Code: CHEL/200.H
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In the year 1716 Abraham de Moivre published his Doctrine of Chances, in which the subject of Mathematical Probability took several long strides forward. A few years later came his Treatise of Annuities. When the third (and final) edition of the Doctrine was published in 1756 it appeared in one volume together with a revised edition of the work on Annuities. It is this latter two-volumes-in-one that is presented here in an exact photographic reprint, with a series of problems of progressive interest, followed by full solutions and an afterword by H.M. Walker.

Table of Contents

  • The introduction
  • Solutions of several sorts of problems, deduced from the rules laid down in the introduction
A treatise of annuities on lives
  • Part I. Containing the rules and examples
  • Part II. Containing the demonstrations of some of the principal propositions in the foregoing treatise
  • Explaining the rules of combined lives
  • Containing the demonstration of the rules given in problems 4th and 5th, for determining the value of longest life
  • Containing the demonstration of what has been said concerning reversions, and the value of one life after one or more lives
  • Containing the demonstration of what has been asserted in the solution of the 10th and 29th problems
  • Containing the demonstration of what has been said concerning successive lives in the solution of prob. XIII
  • Containing the demonstration of what has been asserted in the 32d and 33d problems concerning half yearly payments
  • As also the investigation of some theorems relating to that subject
  • Containing the demonstration of what has been said concerning the probabilities of survivorship
  • Serving to render the solutions in this treatise more general, and more correct
  • Appendix
  • Abraham de Moivre by Helen M. Walker
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