Polyhedral and Algebraic Methods in Computational Geometry

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry.  The first part of the book studies classical problems...

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Détails bibliographiques
Auteurs principaux: Joswig, Michael, 1965-, Theobald, Thorsten, 1971-...., mathématicien (Auteur), Theobald, Thorsten (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: London : Springer London [20..].
Cham : Springer Nature
Édition:1st ed. 2013.
Collection:Universitext
Sujets:
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Accès Université d'Orléans
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Note: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Polyhedral and algebraic methods in computational geometry, Michael Joswig, Thorsten Theobald, London, Springer, 2013, 1 vol. (X-250 p.), Universitext, 978-1-4471-4816-6
• Polyhedral and Algebraic Methods in Computational Geometry, Texte imprimé, 9781447148180
• Polyhedral and algebraic methods in computational geometry, Michael Joswig, Thorsten Theobald, London, Springer, 2013, 1 vol. (X-250 p.), Universitext, 978-1-4471-4816-6
Table des matières:
  • Introduction and Overview Geometric Fundamentals Polytopes and Polyhedra Linear Programming Computation of Convex Hulls Voronoi Diagrams Delone Triangulations Algebraic and Geometric Foundations Gröbner Bases and Buchberger s Algorithm Solving Systems of Polynomial Equations Using Gröbner Bases Reconstruction of Curves Plücker Coordinates and Lines in Space Applications of Non-Linear Computational Geometry Algebraic Structures Separation Theorems Algorithms and Complexity Software Notation