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Combinatorics and Commutative Algebra

Name: Combinatorics and Commutative Algebra
Brand: Birkhauser Boston Inc
SKU: 01399372
Price: 78.89 EUR
Availability: InStock
Author: Richard P. Stanley
ISBN: 9780817643690

Richard P. Stanley

Lingua

Inglese

Libro In brossura

Codice Libristo: 01399372

Casa editrice Birkhauser Boston Inc, agosto 2004

Some remarkable connections between commutative algebra and combinatorics have been discovered in re... Descrizione completa

Codice Libristo: 01399372

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Some remarkable connections between commutative algebra and combinatorics have been discovered in recent years. This book provides an overview of two of the main topics in this area. The first concerns the solutions of linear equations in nonnegative integers. Applications are given to the enumeration of integer stochastic matrices (or magic squares), the volume of polytopes, combinatorial reciprocity theorems, and related results. The second topic deals with the face ring of a simplicial complex, and includes a proof of the Upper Bound Conjecture for Spheres. An introductory chapter giving background information in algebra, combinatorics and topology broadens access to this material for non-specialists.New to this edition is a chapter surveying more recent work related to face rings, focusing on applications to f-vectors.