
Real and Complex Singularities
CRC Press
1st Edition
Published on 26. August 1999
Book
Paperback/Softback
288 pages
978-1-58488-142-1 (ISBN)
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.
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.
More details
Series
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Professional and scholarly
Professional
Illustrations
10 s/w Tabellen
10 Tables, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Weight
424 gr
ISBN-13
978-1-58488-142-1 (9781584881421)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Editor
Universidade De Sao Paulo, West Midlands, UK
Contributions
Hong Kong Baptist University, Kowloon
Series Editor
Content
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
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