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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 problem...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Joswig, Michael (Author), Theobald, Thorsten (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Universitext,
Subjects:
Online Access:Texto Completo
Table of Contents:
  • 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.