Invariant Methods in Discrete and Computational Geometry

Proceedings of the Cura§ao Conference, 13-17 June, 1994

By: Neil L. White (Editor)

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Hardcover | 31 July 1995

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348 Pages

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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.

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Director's Preface
Introduction
The Power of Positive Thinking	p. 1
Introduction to Chow Forms	p. 37
Capelli's Method of Variability Ausiliarie, Superalgebras, and Geometric Calculus	p. 59
Letterplace Algebra and Symmetric Functions	p. 77
A Tutorial on Grassmann-Cayley Algebra	p. 93
Computational Symbolic Geometry	p. 107
Invariant Theory and the Projective Plane	p. 141
Automatic Proving of Geometric Theorems	p. 167
The Resolving Bracket	p. 197
Computation of the Invariants of a Point Set in P[superscript 3] P[superscript 3] from Its Projections in P[superscript 2] P[superscript 2]	p. 223
Geometric Algebra and Mobius Sphere Geometry as a Basis for Euclidean Invariant Theory	p. 245
Invariants on G/U x G/U x G/U, G = SL(4,C)	p. 257
On A Certain Complex Related to the Notion of Hyperdeterminant	p. 279
On Cayley's Projective Configurations - An Algorithmic Study	p. 289
On the Contruction of Equifacetted 3-Speres	p. 301
Depths and Betti Numbers of Homology Manifolds	p. 313
Index	p. 323
Table of Contents provided by Blackwell. All Rights Reserved.

Invariant Methods in Discrete and Computational Geometry

Proceedings of the Cura§ao Conference, 13-17 June, 1994

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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Paperback

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