Enumerative Combinatorics: Volume 1. Vol.1

Stanley, Richard P.

ISBN 10: 1107602629 / ISBN 13: 9781107602625

Published by Cambridge University Press, 2012

About this Item

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 soluti. Seller Inventory # 447220575

Bibliographic Details

Title: Enumerative Combinatorics: Volume 1. Vol.1

Publisher: Cambridge University Press

Publication Date: 2012

Binding: Soft cover

Condition: New

Edition: 2nd Edition

About this title

Synopsis:

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 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.

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 more than 300 new exercises, many with solutions, updated and expanded chapter bibliographies, substantial new material on permutation statistics, coverage of additional topic such as hyperplan arrangements and the cd-index, and a rearranged and generalized treatment of P-partitions.