Arnold singularities of differentiable maps pdf az

T he theory of singularities of differentiable maps is a rapidly developing area of. Pdf on singularities of smooth maps to a space with a. On the road in this book a start is made to the zoology of the singularities of differentiable maps. Request pdf singularities of differentiable maps, volume 2. Real, symmetricand boundary singularities 272 part iii. Buy singularities of differentiable maps, volume 1. This theory is a young branch of analysis which currently. Spectral sequences for the reduction to normal forms 231 15. Buy singularities of differentiable maps, volume 2. Guseinzade, singularities of diierentiable maps, birkhh auser, 1985. A classification algorithm for complex singularities of. The classification ofquasihomogeneous functions 217 14. The second volume describes the topological and algebrogeometrical aspects of the theory.

With this foundation, the books sophisticated development permits readers to explore an unparalleled breadth of applications. The classification of critical points caustics and wave fronts at. M r3 from a surface into euclidean space is called. The theory of caustics and wave front singularities with. Singularity theory is a farreaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of. Singularities of differentiable maps, volume 1 pdf document. Stanford libraries official online search tool for books, media, journals, databases, government documents and more. The classification of critical points, caustics and wave fronts accommodates the needs of nonmathematicians, presupposing a limited mathematical background and beginning at an elementary level.

The first volume, subtitled classification of critical points, caustics and wave fronts, was published by moscow, nauka, in 1982. Consider the group of fractional linear transformations flts. Monodromy and asymptotics of integrals paperback at. The term singularity theory was, to my knowledge, introduced by v. Quasihomogeneous and semiquasihomogeneoussingularities. Geometrical methods in the theory of ordinary differential equations.

On the classi cation of germs from r 2 to r 3 jan 1985. While the first volume, subtitled classification of critical points. Chef arnold author of singularities of differentiable maps. Here, one considers differentiable maps of class cr from the euclidean space. After returning from france, brieskorn gave the following lectures.