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.
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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