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Sinopsis
Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes from simplicial complexes, vector geometries from incidence structures and hyperplane arrangements from oriented matroids. It turns out that algorithms for these constructions exist if and only if arbitrary polynomial equations are decidable with respect to the underlying field. Besides such complexity theorems a variety of symbolic algorithms are discussed, and the methods are applied to obtain new mathematical results on convex polytopes, projective configurations and the combinatorics of Grassmann varieties. Finally algebraic varieties characterizing matroids and oriented matroids are introduced providing a new basis for applying computer algebra methods in this field. The necessary background knowledge is reviewed briefly. The text is accessible to students with graduate level background in mathematics, and will serve professional geometers and computer scientists as an introduction and motivation for further research.
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Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes from simplicial complexes, vector geometries from incidence structures and hyperplane arrangements from oriented matroids. It turns out that algorithms for these constructions exist if and only if arbitrary polynomial equations are decidable with respect to the underlying field. Besides such complexity theorems a variety of symbolic algorithms are discussed, and the methods are applied to obtain new mathematical results on convex polytopes, projective configurations and the combinatorics of Grassmann varieties. Finally algebraic varieties characterizing matroids and oriented matroids are introduced providing a new basis for applying computer algebra methods in this field. The necessary background knowledge is reviewed briefly. The text is accessible to students with graduate level background in mathematics, and will serve professional geometers and computer scientists as an introduction and motivation for further research.
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- EditorialSpringer
- Año de publicación2009
- ISBN 10 3540504788
- ISBN 13 9783540504788
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas180
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Computational synthetic geometry. Lecture notes in mathematics; Bd. 1355.
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Berlin, Springer, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03482 3540504788 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2489393
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Computational Synthetic Geometry
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Springer Berlin Heidelberg, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 180 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 4427313/202
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Lecture Notes in Mathematics 1355: Computational Synthetic Geometry
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Heidelberg: Springer, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
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Broschur
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Broschur. Condición: Befriedigend. 166 (2) Seiten exBibliotheksexemplar mit den üblichen Stempeln/Signaturen, Kanten gering berieben / bestossen, Gilbfleckchen, papierbedingte Seitenbräunung /// Standort Wimregal HAGG-8585 ISBN 3540504788 Sprache: Englisch Gewicht in Gramm: 293. Nº de ref. del artículo: 240329
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Computational Synthetic Geometry
Publicado por
Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1989, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes from simplicial complexes, vector geometries from incidence structures and hyperplane arrangements from oriented matroids. It turns out that algorithms for these constructions exist if and only if arbitrary polynomial equations are decidable with respect to the underlying field. Besides such complexity theorems a variety of symbolic algorithms are discussed, and the methods are applied to obtain new mathematical results on convex polytopes, projective configurations and the combinatorics of Grassmann varieties. Finally algebraic varieties characterizing matroids and oriented matroids are introduced providing a new basis for applying computer algebra methods in this field. The necessary background knowledge is reviewed briefly. The text is accessible to students with graduate level background in mathematics, and will serve professional geometers and computer scientists as an introduction and motivation for further research. 180 pp. Englisch. Nº de ref. del artículo: 9783540504788
Cantidad disponible: 2 disponibles
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Computational Synthetic Geometry (Lecture Notes in Mathematics, 1355)
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Computational Synthetic Geometry
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Springer Berlin Heidelberg Jul 1989, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: Neu. Neuware - Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes from simplicial complexes, vector geometries from incidence structures and hyperplane arrangements from oriented matroids. It turns out that algorithms for these constructions exist if and only if arbitrary polynomial equations are decidable with respect to the underlying field. Besides such complexity theorems a variety of symbolic algorithms are discussed, and the methods are applied to obtain new mathematical results on convex polytopes, projective configurations and the combinatorics of Grassmann varieties. Finally algebraic varieties characterizing matroids and oriented matroids are introduced providing a new basis for applying computer algebra methods in this field. The necessary background knowledge is reviewed briefly. The text is accessible to students with graduate level background in mathematics, and will serve professional geometers and computer scientists as an introduction and motivation for further research. Nº de ref. del artículo: 9783540504788
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Computational Synthetic Geometry (Lecture Notes in Mathematics)
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Paperback. Condición: Very Good. Type: Book N.B. Small plain label to inside front cover. Corners of covers a little rubbed. Nº de ref. del artículo: 055003
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Computational Synthetic Geometry
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PF. Condición: New. Nº de ref. del artículo: 6666-IUK-9783540504788
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Computational Synthetic Geometry
Publicado por
Springer Berlin Heidelberg, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes . Nº de ref. del artículo: 4891587
Cantidad disponible: Más de 20 disponibles
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Computational Synthetic Geometry
Publicado por
Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1989, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes from simplicial complexes, vector geometries from incidence structures and hyperplane arrangements from oriented matroids. It turns out that algorithms for these constructions exist if and only if arbitrary polynomial equations are decidable with respect to the underlying field. Besides such complexity theorems a variety of symbolic algorithms are discussed, and the methods are applied to obtain new mathematical results on convex polytopes, projective configurations and the combinatorics of Grassmann varieties. Finally algebraic varieties characterizing matroids and oriented matroids are introduced providing a new basis for applying computer algebra methods in this field. The necessary background knowledge is reviewed briefly. The text is accessible to students with graduate level background in mathematics, and will serve professional geometers and computer scientists as an introduction and motivation for further research. 180 pp. Englisch. Nº de ref. del artículo: 9783540504788
Cantidad disponible: 2 disponibles