Kniha Combinatorics and Commutative Algebra Richard P. Stanley

Combinatorics and Commutative Algebra

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
1 844
Some remarkable connections between commutative algebra and combinatorics have been discovered in re...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2004
Stránek
168
EAN
9780817643690
ISBN
0817643699
Enbook ID
01399372
Hmotnost
282
Rozměry
235 x 158 x 12

Kompletní popis

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.

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