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Cover: 9780817643690 | Combinatorics and Commutative Algebra | Richard P. Stanley | Buch | ix
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Combinatorics and Commutative Algebra
Taschenbuch von Richard P. Stanley
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
The author is well known to the math community as an excellent researcher and expositor in the fields of combinatorics and algebra. His first book was widely read. In this second edition, which contains a significant amount of new material in areas of current interest, Stanley, as before, presents the "big picture" in an engaging framework.
Inhaltsverzeichnis
Background.- Nonnegative Integral Solutions to Linear Equations.- The Face Ring of a Simplicial Complex.- Further Aspects of Face Rings.
Details
Erscheinungsjahr: 2004
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Progress in Mathematics
Inhalt: ix
166 S.
ISBN-13: 9780817643690
ISBN-10: 0817643699
Sprache: Englisch
Herstellernummer: 11320241
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Stanley, Richard P.
Auflage: 2nd ed. 1996
Hersteller: Birkh„user Boston
Birkhäuser Boston
Progress in Mathematics
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Richard P. Stanley
Erscheinungsdatum: 15.10.2004
Gewicht: 0,283 kg
Artikel-ID: 102435958
Zusammenfassung
The author is well known to the math community as an excellent researcher and expositor in the fields of combinatorics and algebra. His first book was widely read. In this second edition, which contains a significant amount of new material in areas of current interest, Stanley, as before, presents the "big picture" in an engaging framework.
Inhaltsverzeichnis
Background.- Nonnegative Integral Solutions to Linear Equations.- The Face Ring of a Simplicial Complex.- Further Aspects of Face Rings.
Details
Erscheinungsjahr: 2004
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Progress in Mathematics
Inhalt: ix
166 S.
ISBN-13: 9780817643690
ISBN-10: 0817643699
Sprache: Englisch
Herstellernummer: 11320241
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Stanley, Richard P.
Auflage: 2nd ed. 1996
Hersteller: Birkh„user Boston
Birkhäuser Boston
Progress in Mathematics
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Richard P. Stanley
Erscheinungsdatum: 15.10.2004
Gewicht: 0,283 kg
Artikel-ID: 102435958
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