Combinatorics: The Rota Way (Cambridge Mathematical Library)

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Combinatorics: The Rota Way (Cambridge Mathematical Library) image
ISBN-10:

052173794X

ISBN-13:

9780521737944

Edition: 1
Released: Feb 09, 2009
Format: Paperback, 408 pages

Description:

Written by two of Gian-Carlo Rota's former students, this book is based on notes from his courses and on personal discussions with him. 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. This book should be on the shelf of all students and researchers in combinatorics and related areas.

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