Overview

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.

Full Product Details

Author:   Neil L. White
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Dimensions:   Width: 21.00cm , Height: 2.00cm , Length: 29.70cm
Weight:   1.470kg
ISBN:  

9780792335481

ISBN 10:   0792335481
Pages:   328
Publication Date:   31 July 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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