Invariant Methods in Discrete and Computational Geometry

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

Buch | Hardcover

328 Seiten

1995
Springer (Verlag)
978-0-7923-3548-1 (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.

Erscheint lt. Verlag	31.7.1995
Zusatzinfo	XIV, 328 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	210 x 297 mm
Themenwelt	Informatik ► Theorie / Studium ► Kryptologie
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-7923-3548-1 / 0792335481
ISBN-13	978-0-7923-3548-1 / 9780792335481
Zustand	Neuware