Jump to ContentJump to Main Navigation
Combinatorics: Ancient and Modern$
Users without a subscription are not able to see the full content.

Robin Wilson and John J. Watkins

Print publication date: 2013

Print ISBN-13: 9780199656592

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199656592.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 23 April 2021

The origins of modern combinatorics

The origins of modern combinatorics

(p.147) Chapter 6 The origins of modern combinatorics
Combinatorics: Ancient and Modern


Oxford University Press

In 1654 Fermat and Pascal used combinatorial and other means to solve theoretical questions arising from games of chance; indeed, Pascal’s treatise on the arithmetical triangle might be called the first modern treatise on combinatorics. Leibniz was also deeply interested in this subject, but nearly all of his contributions to symmetric functions, partitions, and determinants remained unpublished until recently. Frénicle de Bessy’s contributions to combinatorics were also published posthumously. Jacob Bernoulli’s posthumously published Ars Conjectandi presented an exhaustive treatment of early modern combinatorics. Soon after Bernoulli’s death, Pierre Rémond de Montmort and Abraham de Moivre mathematically analysed card games and games of dice in terms of derangements. James Stirling’s contributions to combinatorics were motivated by algebraic studies.

Keywords:   Fermat, Pascal, Leibniz, Frénicle de Bessy, Jacob Bernoulli, Pierre Rémond de Montmort, Abraham de Moivre, James Stirling

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .