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Combinatorics of Permutations, 2nd Edition
book

Combinatorics of Permutations, 2nd Edition

by Miklos Bona
April 2016
Intermediate to advanced content levelIntermediate to advanced
478 pages
14h 44m
English
Chapman and Hall/CRC
Content preview from Combinatorics of Permutations, 2nd Edition
Contents
Foreword
Preface to the First Edition
Preface to the Second Edition
Acknowledgments
No Way around It. Introduction. 1
1 In One Line and Close. Permutations as Linear Orders. 3
1.1 Descents .............................. 3
1.1.1 TheDefinitionofDescents................ 3
1.1.2 EulerianNumbers .................... 4
1.1.3 Stirling Numbers and Eulerian Numbers . . . . . . . . 11
1.1.4 Generating Functions and Eulerian Numbers . . . . . 14
1.1.5 The Sequence of Eulerian Numbers . . . . . . . . . . . 16
1.2 AlternatingRuns ......................... 25
1.3 Alternating Subsequences . . . . . . . . . . . . . . . . . . . . 32
1.3.1 Definitions and a Recurrence ...
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Publisher Resources

ISBN: 9781439850527