Singularities of Differentiable Maps: Volume 1: The Classification of Critical Points Caustics, Wave Fronts (repost)

The theory of singularities of differentiable maps is a rapidly developing area of contemporary mathematics, being a grandiose generalisation of the study of functions at maxima and minima and having numerous applications in mathematics, the natural sciences and technology (as in the so-called theory of bifurcations and catastrophes).

Chapters of the book are devoted to the theory and stabili y of smooth maps, critical points of smooth functions, and the singularities of caustics and wave fronts in geometrical optics.