Combinatorics: The Rota Way (Hardcover) (ISBN-13: 9780521883894)

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.

Author: Joseph P. S. Kung, Gian-Carlo Rota, Catherine H. Yan
ISBN-10: 052188389X
ISBN-13: 9780521883894
Publisher: Cambridge University Press
Language: English
Published: 02/09/2009
Pages: 408
Format: Hardcover
Weight: 1.45lbs
Size: 9.10h x 6.10w x 1.00d

Review Citation(s):
Choice 09/01/2009