<p>This first of two volumes deals with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities, beginning at a basic level that presupposes a limited mathematical background.</p>

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

Science & Math

Gusein-Zade, S.M.

Varchenko, Alexander N.

Arnold, V.I. I.

Mathematics

Birkhauser

Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts

Arnold, V.I.

<p>This reprint covers anatomy and physiology of singularities of differentiable functions. Includes the topological structure of isolated critical points of holomorphic functions, the asymptotic behavior of integrals of the method of stationary phase, and more.</p>

Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals (Modern Birkhäuser Classics)

Arnold, Elionora I.

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Books by Varchenko, Alexander N.