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Product Identifiers
PublisherCambridge University Press
ISBN-101107602629
ISBN-139781107602625
eBay Product ID (ePID)109496696
Product Key Features
Number of Pages642 Pages
Publication NameEnumerative Combinatorics: Volume 1
LanguageEnglish
Publication Year2011
SubjectCombinatorics, Discrete Mathematics
TypeTextbook
Subject AreaMathematics
AuthorRichard P. Stanley
SeriesCambridge Studies in Advanced Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height1.3 in
Item Weight30 Oz
Item Length8.9 in
Item Width6 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN2011-037989
Reviews"...will engage from start to finish the attention of any mathematician who will open it at page one." Gian-Carlo Rota, Advance praise: '... sure to become a standard as an introductory graduate text in combinatorics.' Bulletin of the American Mathematical Society, '… sure to become a standard as an introductory graduate text in combinatorics.' Bulletin of the American Mathematical Society, "The main difference between this edition and the first is the addition of ten new sections (six in Chapter 1 and four in Chapter 3)and more than 350 new exercises." -Mathematical reviews, '… will engage from start to finish the attention of any mathematician who will open it at page one.' Gian-Carlo Rota
Dewey Edition23
Series Volume NumberSeries Number 49
Number of Volumes2 vols.
IllustratedYes
Dewey Decimal511/.62
Table Of Content1. What is enumerative combinatorics?; 2. Sieve methods; 3. Partially ordered sets; 4. Rational generating functions.
SynopsisRichard 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 material in Volume 1 was chosen to cover those parts of enumerative combinatorics of greatest applicability and with the most important connections with other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods, partially ordered sets, and rational generating functions. Much of the material is related to generating functions, a fundamental tool in enumerative combinatorics. In this new edition, 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., 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., 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 more than 300 new exercises, many with solutions, updated and expanded chapter bibliographies and substantial new material on permutation statistics.
LC Classification NumberQA164.8
