Enumerative combinatorics. Volume 1 / Richard P. Stanley.

Format:

Book

Author/Creator:

Stanley, Richard P., 1944- author.

Series:

Cambridge studies in advanced mathematics ; 49.

Cambridge studies in advanced mathematics ; 49

Language:

English

Subjects (All):

Combinatorial enumeration problems.

Physical Description:

1 online resource (xiii, 626 pages) : digital, PDF file(s).

Edition:

Second edition.

Place of Publication:

Cambridge : Cambridge University Press, 2012.

Language Note:

English

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.

Contents:

Machine generated contents note: 1. What is enumerative combinatorics?; 2. Sieve methods; 3. Partially ordered sets; 4. Rational generating functions.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-23022-5

1-280-56847-X

9786613598073

1-139-20575-7

1-139-05852-5

1-139-20356-8

1-139-20654-0

1-139-20215-4

1-139-20496-3

OCLC:

775869466