Computational Synthetic Geometry

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 geometrie...

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Autori principali: Bokowski, Jürgen G., mathématicien, Sturmfels, Bernd, 1962-...., mathématicien (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 1355
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Nota: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Computational synthetic geometry, Jürgen Bokowski, Bernd Sturmfels, 1989, Berlin, Springer, 1 volume (168 pages), Lecture notes in mathematics, 3-540-50478-8
• Computational Synthetic Geometry, Texte imprimé, 9783662168219
Sommario:
  • 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.