By Richard P. Stanley
Richard Stanley's two-volume uncomplicated creation to enumerative combinatorics has turn into the traditional consultant to the subject for college kids and specialists alike. This completely revised moment version of quantity 1 comprises ten new sections and greater than three hundred new routines, such a lot with options, reflecting various new advancements because the book of the 1st variation in 1986. the cloth in quantity 1 was once selected to hide these components of enumerative combinatorics of maximum applicability and with crucial connections with different parts of arithmetic. The 4 chapters are dedicated to an creation to enumeration (suitable for complex undergraduates), sieve tools, partly ordered units, and rational producing capabilities. a lot of the fabric is expounded to producing features, a basic device in enumerative combinatorics. during this new version, the writer brings the assurance brand new and comprises a wide selection of extra functions and examples, in addition to up-to-date and extended bankruptcy bibliographies. the various simpler new workouts haven't any recommendations so as to extra simply be assigned to scholars. the cloth on P-partitions has been rearranged and generalized; the remedy of permutation data has been enormously enlarged; and there also are new sections on q-analogues of diversifications, hyperplane preparations, the cd-index, promoting and evacuation, and differential posets.
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