Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Dalla quarta di copertina
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. Included in this chapter is an outline of the proof of McMullen's g-conjecture for simplicial polytopes based on toric varieties, as well as a discussion of the face rings of such special classes of simplicial complexes as shellable complexes, matroid complexes, level complexes, doubly Cohen-Macaulay complexes, balanced complexes, order complexes, flag complexes, relative complexes, and complexes with group actions. Also included is information on subcomplexes and subdivisions of simplicial complexes, and an application to spline theory.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Combinatorics and Commutative Algebra: 41 (Progress in Mathematics, 41)
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Combinatorics and Commutative Algebra (Paperback)
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Paperback. Condizione: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780817643690
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Combinatorics and Commutative Algebra
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -\* Stanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative Algebra:1) The theory of invariants of a torus acting linearly on a polynomial ring, and2) The face ring of a simplicial complex\* In this new edition, the author further develops some interesting properties of face rings with application to combinatorics 180 pp. Englisch. Codice articolo 9780817643690
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Stanley represents a broad perspective with respect to two significant topics from Combinatorial Commutative AlgebraThe theory of invariants of a torus acting linearly on a polynomial ringThe face ring of a simplicial complexThe auth. Codice articolo 5975796
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Condizione: New. Contains a significant amount of new in areas of interest, and presents the "big picture" in an engaging framework. Series: Progress in Mathematics. Num Pages: 168 pages, biography. BIC Classification: PBF. Category: (UU) Undergraduate. Dimension: 158 x 235 x 12. Weight in Grams: 282. . 2004. 2nd ed. 1996. Paperback. . . . . Codice articolo V9780817643690
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Taschenbuch. Condizione: Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 180 pp. Englisch. Codice articolo 9780817643690
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Taschenbuch. Condizione: Neu. Combinatorics and Commutative Algebra | Richard P. Stanley | Taschenbuch | ix | Englisch | 2004 | Birkhäuser | EAN 9780817643690 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 102435958
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