Real and Complex Singularities: 1st Edition (Paperback) book cover

Real and Complex Singularities

1st Edition

Edited by James William Bruce, Farid Tari

Chapman and Hall/CRC

288 pages

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Paperback: 9781584881421
pub: 1999-08-26
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Description

The boundaries of singularity theory are broad and vague, connecting the most important applications of mathematics and science with more abstract areas. Optics, robotics, computer vision, Hamiltonian mechanics, bifurcation theory and differential equations are among the variety of topics that benefit from developments in the theory. With singularity theory encompassing more and more applications, Real and Complex Singularities provides insight into the future of this expanding field.

Comprising refereed contributions to the Fifth Workshop on Real and Complex Singularities, this volume addresses three important areas related to the broad subject of singularities. The first section deals with questions within singularity theory itself, representing the topics currently being investigated. The second explores applications of singularity theory to differential geometry, robotics, and computer vision. The final section consists of applications to bifurcation theory and dynamical systems.

With over two-hundred tables that provide quick access to data, this volume is a complete overview of the most current topics and applications of singularity theory. Real and Complex Singularities creates the opportunity for you to stay up-to-date with recent advances and discover promising directions for future research in the field.

Table of Contents

Weakly Whitney Stratified Sets

Plane Sections, Wf and Af

Wf and Integral Dependence

Coherent Vector Fields and Logarithmic Stratification

Very Good Quotients of Toric Varieties

Newton Polygon Relative to an Arc

A Two Colour Theorem and the Fundamental Class of a Polyhedron

Computation of the Thom Polynomial of ?1111 via Symmetries of Singularities

On the Classification of Multi-Germs of Maps from C2 to C3 under A-Equivalence

Flat Contact Singularities

Instantaneous Singular Sets Associated to Spatial Motions

Four-or-More-Vertex Theorems for Constant Curvature Manifolds

Affine Versions of the Symmetry Set

Bitangency Properties of Generic Closed Curves in Rn

Generic One-Parameter Families of Reversible Vector Fields

Counting Persistent Pitchforks

Controllability of a Generic Dynamic Inequality Near a Singular Point

Path Formulation and Forced Symmetry Breaking

Local Reversibility and Applications

On the Degeneracy of Planar Vector Fields

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT012000
MATHEMATICS / Geometry / General
MAT037000
MATHEMATICS / Functional Analysis