1989, ISBN: 3540504788

[EAN: 9783540504788], Neubuch, [PU: Springer Berlin Heidelberg Jul 1989], GEOMETRIE; RAUMLEHRE; MATHEMATICA; MICROSOFTACCESS; PROCESSING; VECTORSPACE; BOUNDARYELEMENTMETHOD; COMPLEXITY; C… Mehr…

[EAN: 9783540504788], Neubuch, [PU: Springer Berlin Heidelberg Jul 1989], GEOMETRIE; RAUMLEHRE; MATHEMATICA; MICROSOFTACCESS; PROCESSING; VECTORSPACE; BOUNDARYELEMENTMETHOD; COMPLEXITY; COMPUTERALGEBRA; CONSTRUCTION; DISCRETEGEOMETRY; EXIST; FIELD; KNOWLEDGE; MANIFOLD; MATHEMATICS; THEOREM, 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, Books<

1989, ISBN: 3540504788

[EAN: 9783540504788], Neubuch, [PU: Springer Berlin Heidelberg Jul 1989], GEOMETRIE; RAUMLEHRE; MATHEMATICA; MICROSOFTACCESS; PROCESSING; VECTORSPACE; BOUNDARYELEMENTMETHOD; COMPLEXITY; C… Mehr…

[EAN: 9783540504788], Neubuch, [PU: Springer Berlin Heidelberg Jul 1989], GEOMETRIE; RAUMLEHRE; MATHEMATICA; MICROSOFTACCESS; PROCESSING; VECTORSPACE; BOUNDARYELEMENTMETHOD; COMPLEXITY; COMPUTERALGEBRA; CONSTRUCTION; DISCRETEGEOMETRY; EXIST; FIELD; KNOWLEDGE; MANIFOLD; MATHEMATICS; THEOREM, 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, Books<

1989, ISBN: 3540504788

[EAN: 9783540504788], Neubuch, [PU: Springer Berlin Heidelberg Jul 1989], GEOMETRIE; RAUMLEHRE; MATHEMATICA; MICROSOFTACCESS; PROCESSING; VECTORSPACE; BOUNDARYELEMENTMETHOD; COMPLEXITY; C… Mehr…

[EAN: 9783540504788], Neubuch, [PU: Springer Berlin Heidelberg Jul 1989], GEOMETRIE; RAUMLEHRE; MATHEMATICA; MICROSOFTACCESS; PROCESSING; VECTORSPACE; BOUNDARYELEMENTMETHOD; COMPLEXITY; COMPUTERALGEBRA; CONSTRUCTION; DISCRETEGEOMETRY; EXIST; FIELD; KNOWLEDGE; MANIFOLD; MATHEMATICS; THEOREM, 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., Books<

2012, ISBN: 9783540504788

[ED: Taschenbuch], [PU: Springer Berlin Heidelberg], Neuware - Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This… Mehr…

[ED: Taschenbuch], [PU: Springer Berlin Heidelberg], 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.- Besorgungstitel - vorauss. Lieferzeit 3-5 Tage., DE, [SC: 2.99], Neuware, gewerbliches Angebot, 235x155x11 mm, 180, [GW: 283g], Banküberweisung, PayPal, Offene Rechnung (Vorkasse vorbehalten)<

1989, ISBN: 9783540504788

[ED: Taschenbuch], [PU: Springer Berlin], Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph c… Mehr…

[ED: Taschenbuch], [PU: Springer Berlin], 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..., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 180, [GW: 283g], 1989, Banküberweisung, PayPal, [CT: Sonstiges / Sonstiges]<