Enumerative Combinatorics: Volume 1
Series: Cambridge Studies in Advanced Mathematics; 49;
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Product details:
- Edition number 2
- Publisher Cambridge University Press
- Date of Publication 12 December 2011
- ISBN 9781107602625
- Binding Paperback
- No. of pages642 pages
- Size 226x153x34 mm
- Weight 850 g
- Language English
- Illustrations 165 b/w illus. 536 exercises 0
Categories
Short description:
This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises.
MoreLong 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.
'... sure to become a standard as an introductory graduate text in combinatorics.' Bulletin of the American Mathematical Society
Table of Contents:
1. What is enumerative combinatorics?; 2. Sieve methods; 3. Partially ordered sets; 4. Rational generating functions.
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