Invariant Methods in Discrete and Computational Geometry (eBook, PDF)

Proceedings of the Curaçao Conference, 13-17 June, 1994
Redaktion: White, Neil L.

• Format: PDF

Produktbeschreibung

Invariant, or coordinate-free methods provide a natural framework for many geometric questions. Invariant Methods in Discrete and Computational Geometry provides a basic introduction to several aspects of invariant theory, including the supersymmetric algebra, the Grassmann-Cayler algebra, and Chow forms. It also presents a number of current research papers on invariant theory and its applications to problems in geometry, such as automated theorem proving and computer vision. Audience: Researchers studying mathematics, computers and robotics.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 328
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9789401584029
• Artikelnr.: 44181578

Inhaltsangabe

The Power of Positive Thinking.- to Chow Forms.- Capelli's Method of Variability Ausiliarie, Superalgebras, and Geometric Calculus.- Letterplace Algebra and Symmetric Functions.- A Tutorial on Grassmann-Cayley Algebra.- Computational Symbolic Geometry.- Invariant Theory and the Projective Plane.- Automatic Proving of Geometric Theorems.- The Resolving Bracket.- Computation of the Invariants of a Point Set in P3 P3 from Its Projections in P2 P2.- Geometric Algebra and Möbius Sphere Geometry as a Basis for Euclidean Invariant Theory.- Invariants on G/U × G/U × G/U, G = SL(4,C).- On A Certain Complex Related to the Notion of Hyperdeterminant.- On Cayley's Projective Configurations - An Algorithmic Study.- On the Contruction of Equifacetted 3-Speres.- Depths and Betti Numbers of Homology Manifolds.