Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curaçao Conference, 13-17 June, 1994 - Rilegato

 
9780792335481: Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curaçao Conference, 13-17 June, 1994

Sinossi

Invariant, or co-ordinate-free methods provide a natural framework for many geometric questions. This study 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. It should be useful reading ror researchers studying mathematics, computers and robotics.

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Contenuti

Director's Preface. Introduction. The Power of Positive Thinking; W. Chan et al. Introduction to Chow Forms; J. Dalbec, B. Sturmfels. Capelli's Method of Variabili Ausiliarie, Superalgebras, and Geometric Calculus; A. Brini, A. Teolis. Letterplace Algebra and Symmetric Functions; W. Chan. A Tutorial on Grassmann-Cayley Algebra; N. White. Computational Symbolic Geometry; B. Mourrain, N. Stolfi. Invariant Theory and the Projective Plane; M. Hawrylycz. Automatic Proving of Geometric Theorems; H. Crapo, J. Richter- Gebert. The Resolving Bracket; H. Crapo, G.-C. Rota. Computation of the Invariants of a Point Set in P3 from its Projection in P2; L. Quan. Geometric Algebra and Möbius Sphere Geometry as a Basis for Euclidean Invariant Theory; T. Havel. Invariants on G/U × G/U × G/U = SL(4,C); F. Grosshans. On a Certain Complex Related to the Notion of Hyperdeterminant; G. Boffi. On Cayley's Projective Configurations - An Algorithmic Study; R. San Augustin. On the Construction of Equifacetted 3-Spheres; J. Bokowski. Depths and Betti Numbers of Homology Manifolds; C. Chan et al. Index.

Product Description

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Altre edizioni note dello stesso titolo

9789048145720: Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curaçao Conference, 13–17 June, 1994

Edizione in evidenza

ISBN 10:  9048145724 ISBN 13:  9789048145720
Casa editrice: Springer, 2010
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