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

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

Gian-Carlo Rota was once the most unique and vibrant mathematicians of the twentieth century. His paintings at the foundations of combinatorics interested by the algebraic buildings that lie in the back of varied combinatorial parts, and created a brand new quarter of algebraic combinatorics. Written by way 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, partly ordered units, distributive lattices, walls and entropy, matching conception, unfastened matrices, doubly stochastic matrices, Moebius services, chains and antichains, Sperner idea, commuting equivalence kin and linear lattices, modular and geometric lattices, valuation jewelry, producing services, umbral calculus, symmetric features, Baxter algebras, unimodality of sequences, and site of zeros of polynomials. Many workouts and learn difficulties are integrated, and unexplored parts of attainable learn are mentioned. a must have for all scholars and researchers in combinatorics and comparable areas.

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