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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格式: | 電子書 |
語言: | English |
出版: |
London
Springer London Imprint: Springer,
2013.
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叢編: | Universitext,
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在線閱讀: | Click here to view the full text content |
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書本目錄:
- 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.