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Combinatorics: The Rota Way

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Combinatorics: The Rota Way

Combinatorics: The Rota Way

408 pages, parution le 01/02/2009

Résumé

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.

Caractéristiques techniques du livre "Combinatorics: The Rota Way"

  PAPIER
Éditeur(s) Cambridge University Press
Auteur(s) Joseph P. S. Kung, Gian-Carlo Rota, Catherine H. Yan
Parution 01/02/2009
Nb. de pages 408
Format 22 x 15
Couverture Broché
Poids 550g
Intérieur Noir et Blanc
EAN13 9780521737944
ISBN13 978-0-5217-3794-4

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