Articoli correlati a Computational Synthetic Geometry: 1355
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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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Contenuti
Preliminaries.- On the existence of algorithms.- Combinatorial and algebraic methods.- Algebraic criteria for geometric realizability.- Geometric methods.- Recent topological results.- Preprocessing methods.- On the finding of polyheadral manifolds.- Matroids and chirotopes as algebraic varieties.
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Book by Bokowski Jrgen Sturmfels Bernd
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Computational synthetic geometry. Lecture notes in mathematics; Bd. 1355.
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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. Codice articolo 2489393
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Computational Synthetic Geometry
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Lecture Notes in Mathematics 1355: Computational Synthetic Geometry
Editore:
Heidelberg: Springer, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
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Da: Antiquariat im Kaiserviertel | Wimbauer Buchversand, Dortmund, NRW, Germania
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Broschur. Condizione: 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. Codice articolo 240329
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Computational Synthetic Geometry (Lecture Notes in Mathematics, 1355)
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Computational Synthetic Geometry
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Computational Synthetic Geometry (Paperback)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1989
ISBN 10: 3540504788
ISBN 13: 9783540504788
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Paperback. Condizione: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9783540504788
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Computational Synthetic Geometry (Lecture Notes in Mathematics, 1355)
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Computational Synthetic Geometry
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Computational Synthetic Geometry (Lecture Notes in Mathematics, 1355)
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Computational Synthetic Geometry
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Condizione: New. Print on Demand pp. 180 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 5836201
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