Download E-books Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts (Modern Birkhäuser Classics) PDF

By S.M. Gusein-Zade

​Singularity thought is a far-reaching extension of maxima and minima investigations of differentiable services, with implications for plenty of varied components of arithmetic, engineering (catastrophe thought and the idea of bifurcations), and science.  the 3 components of this primary quantity of a two-volume set care for the steadiness challenge for soft mappings, severe issues of tender features, and caustics and wave entrance singularities.  the second one quantity describes the topological and algebro-geometrical features of the speculation: monodromy, intersection kinds, oscillatory integrals, asymptotics, and combined Hodge buildings of singularities.

The first quantity has been tailored for the wishes of non-mathematicians, presupposing a restricted mathematical history and starting at an ordinary level.  With this starting place, the book's subtle improvement allows readers to discover extra functions than prior books on singularities.

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Read or Download Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts (Modern Birkhäuser Classics) PDF

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