**Advances in Soviet Mathematics**

1990;
333 pp;
Hardcover

MSC: Primary 53; 55; 57; 58; 14; 33; 15; 32; 35; 05; 34; 46; 93;
**Print ISBN: 978-0-8218-4100-6
Product Code: ADVSOV/1**

List Price: $167.00

Individual Member Price: $133.60

# Theory of Singularities and its Applications

Share this page *Edited by *
*V. I. Arnol′d*

The theory of singularities lies at the crossroads between those branches of
mathematics which are the most abstract and those which are the most applied.
Algebraic and differential geometry and topology, commutative algebra and group
theory are as intimately connected to singularity theory as are dynamical
systems theory, control theory, differential equations, quantum mechanical and
quasi-classical asymptotics, optics, and functional analysis.

This collection of papers incorporates recent results of participants in the
editor's ongoing seminar in singularity theory, held in the Mechanics and
Mathematics Department of Moscow University for over twenty years. With its
broad range of subject matter, this volume will appeal to a wide range of
readers in various areas of the mathematical sciences. Among the topics
covered are: construction of new knot invariants, stable cohomology of
complementary spaces to diffusion diagrams, topological properties of spaces of
Legendre maps, application of Weierstrass bifurcation points in projective
curve flattenings, classification of singularities of projective surfaces with
boundary, nonsmoothness of visible contours of smooth convex hypersurfaces,
flag manifolds, hyperbolic partial differential systems, and control theory.