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Enumerative combinatorics : volume 1

By: Material type: TextTextLanguage: English Series: Cambridge studies in advanced mathematics ; 49Publication details: Cambridge Cambridge University Press 2010Edition: Special ICM 2010Description: xi, 325pISBN:
  • 9780521173094 (PB)
Subject(s):
Contents:
What is enumerative combinatorics? Sieve methods Partially ordered sets Rational generating functions
Summary: 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
Item type: BOOKS
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IMSc Library 519.11 STA (Browse shelf(Opens below)) Available 64113

Include errata

What is enumerative combinatorics?
Sieve methods
Partially ordered sets
Rational generating functions

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

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