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  3. Enumerative Combinatorics
  • Cited by 281
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2011
Online ISBN:
9781139058520
DOI:
https://doi.org/10.1017/CBO9781139058520
Subjects:
Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding
Series:
Cambridge Studies in Advanced Mathematics (49)
Information

Book description

Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the coverage up to date and includes a wide variety of additional applications and examples, as well as updated and expanded chapter bibliographies. Many of the less difficult new exercises have no solutions so that they can more easily be assigned to students. The material on P-partitions has been rearranged and generalized; the treatment of permutation statistics has been greatly enlarged; and there are also new sections on q-analogues of permutations, hyperplane arrangements, the cd-index, promotion and evacuation and differential posets.

Reviews

‘… sure to become a standard as an introductory graduate text in combinatorics.'

Source: Bulletin of the American Mathematical Society

‘… will engage from start to finish the attention of any mathematician who will open it at page one.'

Gian-Carlo Rota

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