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"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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Mathematics --- Combinatorial enumeration problems --- Problèmes combinatoires d'énumération --- 519.11 --- Enumeration problems, Combinatorial --- Combinatorial analysis --- Classical combinatorial theory and problems. Factorials. Partitions --- 519.11 Classical combinatorial theory and problems. Factorials. Partitions --- Problèmes combinatoires d'énumération --- Mathematics.
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Group theory --- Discrete mathematics --- Combinatorial enumeration problems. --- Combinatorial analysis. --- Group actions (Mathematics) --- Problèmes combinatoires d'énumération --- Analyse combinatoire --- Actions de groupes (Mathématiques) --- 51 <082.1> --- Mathematics--Series --- Analyse combinatoire énumérative. --- Problèmes combinatoires d'énumération --- Actions de groupes (Mathématiques) --- Combinatorial analysis --- Combinatorial enumeration problems --- Combinatorics --- Algebra --- Mathematical analysis --- Actions, Group (Mathematics) --- Algebraic varieties --- Topological transformation groups --- Enumeration problems, Combinatorial
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Trees (Graph theory) --- Combinatorial enumeration problems. --- Mathematical statistics. --- Arbres (Théorie des graphes) --- Problèmes combinatoires d'énumération --- Statistique mathématique --- Combinatorial enumeration problems --- Arbres (Théorie des graphes) --- Problèmes combinatoires d'énumération --- Statistique mathématique --- Arbres (théorie des graphes) --- Analyse combinatoire énumérative --- Arbres (théorie des graphes) --- Analyse combinatoire énumérative --- Artificial intelligence --- Knowledge representation
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Analyse combinatoire --- Combinatorial analysis --- Combinatorial enumeration problems --- Combinatorische analyse --- Lattice theory --- Roostertheorie --- Treillis [Theorie des ] --- Combinatorial geometry. --- Combinatorial enumeration problems. --- Lattice theory. --- Géométrie combinatoire --- Problèmes combinatoires d'énumération --- Théorie des treillis --- Combinatorial geometry --- 512.7 --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Geometric combinatorics --- Geometrical combinatorics --- Discrete geometry --- Enumeration problems, Combinatorial --- Algebraic geometry. Commutative rings and algebras --- 512.7 Algebraic geometry. Commutative rings and algebras --- Géométrie combinatoire --- Problèmes combinatoires d'énumération --- Théorie des treillis --- Géometrie combinatoire --- Géometrie convexe --- Topologie algébrique
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