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.
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While the other field mice work to gather grain and nuts for winter, Frederick sits on a sunny rock by himself. “I gather sun rays for the cold dark winter days,” he tells them. Another day he gathers
Delightful retelling of the classic tale with lively text and speech bubbles.Full colour illustrations throughout.Part of Young Reading Series 1 for children just starting to read alone.The audio CD i
An enchanting and vivid re-working of this classic tale by Hans Christian Andersen.Part of Young Reading Series 1 for children just starting to read alone.The audio CD includes a dramatic listen-along