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Combinatorics: The Rota Way

Joseph P. S. KungGian-Carlo RotaCatherine H. Yan

出版	Cambridge University Press, 2009-02-09
主題	Mathematics / Discrete MathematicsMathematics / Combinatorics
ISBN	052188389X9780521883894
URL	http://books.google.com.hk/books?id=nX5Exky4iGQC&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.