By Joseph P. S. Kung,Gian-Carlo Rota,Catherine H. Yan

Gian-Carlo Rota used to be some of the most unique and vibrant mathematicians of the twentieth century. His paintings at the foundations of combinatorics interested in the algebraic constructions that lie in the back of various combinatorial parts, and created a brand new region of algebraic combinatorics. Written by means of of his former scholars, this ebook is predicated on notes from his influential graduate classes and on face-to-face discussions. subject matters comprise units and valuations, in part ordered units, distributive lattices, walls and entropy, matching thought, loose matrices, doubly stochastic matrices, Moebius services, chains and antichains, Sperner concept, commuting equivalence relatives and linear lattices, modular and geometric lattices, valuation earrings, producing services, umbral calculus, symmetric features, Baxter algebras, unimodality of sequences, and placement of zeros of polynomials. Many workouts and study difficulties are integrated, and unexplored components of attainable learn are mentioned. vital for all scholars and researchers in combinatorics and comparable areas.

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Combinatorics: The Rota Way (Cambridge Mathematical Library) by Joseph P. S. Kung,Gian-Carlo Rota,Catherine H. Yan


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