Real and Complex Singularities

1. Auflage 1999
ISBN: 978-1-58488-142-1
Verlag: Chapman and Hall/CRC

Buch, Englisch, 288 Seiten, Format (B × H): 152 mm x 240 mm, Gewicht: 422 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

Zielgruppe

Professional

Autoren/Hrsg.

Bruce, James William

Tari, Farid

Weitere Mitwirkende

Fang, Kai-Tai

Jeffrey, Alan

Wik Atique, R

Brezis, Haim

Douglas, Ronald G.

Bekka, K

Trotman, D

Buzzi, C.A.

Castro, .B.S.D.

Labouriau, I.S.

Costa, SIR

Firer, M

Davydov, A.A.

Basto-Goncalves

Cocke, MW

Donelan, P.S.

Gibson, C.G.

Furter, J.E.

Gaffney, Terence

Kleiman, S.L.

Grandjean, V

Hamm, H.A.

Kuo, T.C.

Parusinski, A

Motta, W

Saeki, O

Ballesteros, J.J. Nonu

Rimanyi, R.

Giblin, P.J.

Saprio, G

Yang, J.

Teixeira, M.A.

Zakalyukin, V.M.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

Weakly Whitney Stratified SetsPlane Sections, Wf and AfWf and Integral DependenceCoherent Vector Fields and Logarithmic StratificationVery Good Quotients of Toric VarietiesNewton Polygon Relative to an ArcA Two Colour Theorem and the Fundamental Class of a PolyhedronComputation of the Thom Polynomial of ?1111 via Symmetries of SingularitiesOn the Classification of Multi-Germs of Maps from C2 to C3 under A-EquivalenceFlat Contact SingularitiesInstantaneous Singular Sets Associated to Spatial MotionsFour-or-More-Vertex Theorems for Constant Curvature ManifoldsAffine Versions of the Symmetry SetBitangency Properties of Generic Closed Curves in RnGeneric One-Parameter Families of Reversible Vector FieldsCounting Persistent PitchforksControllability of a Generic Dynamic Inequality Near a Singular PointPath Formulation and Forced Symmetry BreakingLocal Reversibility and ApplicationsOn the Degeneracy of Planar Vector Fields