Includes bibliographical references and index.

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

"Richard Stanley's two-volume basic introduction to enumerative comb inatorics has become the standard guide to the topic for students and e xperts alike. This thoroughly revised second edition of Volume 1 includ es ten new sections and more than 300 new exercises, most with solution s, reflecting numerous new developments since the publication of the fi rst edition in 1986. The author brings the coverage up to date and incl udes a wide variety of additional applications and examples, as well as updated and expanded chapter bibliographies. Many of the less difficul t new exercises have no solutions so that they can more easily be assig ned to students. The material on P-partitions has been rearranged and g eneralized; the treatment of permutation statistics has been greatly en larged; and there are also new sections on q-analogues of permutations, hyperplane arrangements, the cd-index, promotion and evacuation and di fferential posets"-- Provided by publisher.