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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Combinatorics: The Rota Way (Paperback)
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Combinatorics: The Rota Way (Paperback)
Series: Cambridge Mathematical Library
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Gian-Carlo Rota was one of the most original and colourful
mathematicians of the 20th century. His work on the foundations of
combinatorics focused on the algebraic structures that lie behind
diverse combinatorial areas, and created a new area of algebraic
combinatorics. Written by two of his former students, this book is
based on notes from his influential graduate courses and on
face-to-face discussions. Topics include sets and valuations,
partially ordered sets, distributive lattices, partitions and
entropy, matching theory, free matrices, doubly stochastic
matrices, Moebius functions, chains and antichains, Sperner theory,
commuting equivalence relations and linear lattices, modular and
geometric lattices, valuation rings, generating functions, umbral
calculus, symmetric functions, Baxter algebras, unimodality of
sequences, and location of zeros of polynomials. Many exercises and
research problems are included, and unexplored areas of possible
research are discussed. A must-have for all students and
researchers in combinatorics and related areas.
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