Invariant Methods in Discrete and Computational Geometry

Proceedings of the Curaçao Conference, 13–17 June, 1994

Buch | Softcover

328 Seiten

2010 | 1st ed. Softcover of orig. ed. 1995
Springer (Verlag)
978-90-481-4572-0 (ISBN)

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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.

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.

Zusatzinfo	XIV, 328 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Grafik / Design ► Film- / Video-Bearbeitung
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Graphentheorie
ISBN-10	90-481-4572-4 / 9048145724
ISBN-13	978-90-481-4572-0 / 9789048145720
Zustand	Neuware