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Combinatorics: Ancient and Modern$
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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

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Enumeration (18th–20th centuries)

Enumeration (18th–20th centuries)

Chapter:
(p.285) Chapter 12 Enumeration (18th–20th centuries)
Source:
Combinatorics: Ancient and Modern
Author(s):

E. KEITH LLOYD

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199656592.003.0013

By the end of the 18th century, what is now called ‘enumerative combinatorics’ was emerging as a distinct discipline. The connections between certain combinatorial problems and algebraical expansions had already been recognized, but were now more extensively exploited. In the 20th century the theory of permutation groups was successfully used to solve many enumeration problems.

Keywords:   enumeration, 18th century, 20th century, enumerative combinatorics, algebraical expansions, permutation groups

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