Singularity Theory

Proceedings of the European Singularities Conference, August 1996, Liverpool and Dedicated to C.T.C. Wall on the Occas

By: J. W. Bruce (Editor), W. Bruce (Editor), D. Mond (Editor)

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Paperback | 2 August 1999

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Singularity theory is a broad subject with vague boundaries. It draws on many other areas of mathematics, and in turn has contributed to many areas both within and outside mathematics, in particular differential and algebraic geometry, knot theory, differential equations, bifurcation theory, Hamiltonian mechanics, optics, robotics and computer vision. This volume consists of two dozen articles from some of the best known figures in singularity theory, and it presents an up-to-date survey of research in this area.

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' ... presents an up-to-date survey of research in this area.' Extrait de L'Enseignement Mathematique

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You Can Find This Book In

Non-Fiction Mathematics Geometry Algebraic Geometry Differential & Riemannian Geometry Calculus & Mathematical Analysis Differential Calculus & Equations Computing & I.T.Computer Science Artificial Intelligence Computer Vision Engineering & Technology

Electronics & Communications Engineering Electronics Engineering Automatic Control Engineering Robotics

Complex Singularities:
Singularities arising from lattice polytopes
Critical points of affine multiforms on the complement of arrangements
Strange duality, mirror symmetry and the Leech lattice
Geometry of equisingular families of curves
Arrangements, KZ systems and Lie algebra homology
The signature of f(x,y) +z
Spectra of K-unimodal isolated singularities of complete intersections
Dynkin graphs, Gabrielov graphs and triangle singularities T. Urabe
Stratifications and Equisingularity Theory:
Differential forms on singular varieties and cyclic homology
Continuous controlled vector fields
Finiteness of Mather's canonical stratification
Trends in equisingularity theory
Regularity at infinity of real and complex polynomial maps
Global Singularity Theory:
A Bennequin number estimate for transverse knots
Abelian covers of the projective plane
Elimination of singularities: Thom polynomials and beyond
Singularities of Mappings:
An introduction to the image-computing spectral sequence
On the classification and geometry of Corank 1 map-germs from 3-space to 4-space
Multiplicities of zero-schemes in quasi-homogeneous Corank-1 singularities
Butterflies and umbilics of stable perturbations of analytic map-germs C5,0 C4,0
Applications of Singularity Theory:
Singular phenomena in kinematics
Singularities of developable surfaces
Singularities of solutions for first order partial differential equations
Table of Contents provided by Publisher. All Rights Reserved.

Singularity Theory

Proceedings of the European Singularities Conference, August 1996, Liverpool and Dedicated to C.T.C. Wall on the Occas

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Paperback

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