Combinatorics: The Rota Way

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Combinatorics: The Rota Way

Combinatorics: The Rota Way

Name: Combinatorics: The Rota Way
ISBN: 9780521883894

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

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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.

Kategorie:

Mathematics

Rok:

2009

Wydanie:

Wydawnictwo:

Cambridge University Press

Język:

english

Strony:

410

ISBN 10: