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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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Yes, you can access Singularity Theory by W. Bruce,D. Mond in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover
- Title
- Copyright
- Contents
- Preface
- Introduction
- Summaries of the Papers
- Singularities Arising from Lattice Polytopes
- Critical Points of Affine Multiforms on the Complements 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) + zN
- Spectra of KāUnimodal Isolated Singularities of Complete Intersections
- Dynkin Graphs, Gabrielov Graphs and Triangle Singularities
- 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 Functions
- A Bennequin Number Estimate for Transverse
- Abelian Branched Covers of Projective Plane
- Elimination of Singularities: Thorn Polynomials and Beyond
- An Introduction to the Image Computing Spectral Sequence
- On the Classification and Geometry of Corank 1 Map-Germs from Three-Space to Four-Space
- Multiplicities of Zero-Schemes in Quasihomogeneous Corank-1 Singularities Cn ā > Cn
- Butterflies and U mbilics of Stable Perturbations of Analytic Map-Germs (C5, 0) ā > (C4, 0)
- Singular Phenomena in Kinematics
- Singularities of Developable Surfaces
- Singularities of Solutions for First Order Partial Differential Equations