Singularities of Differentiable Maps, Volume 2

Singularities of Differentiable Maps, Volume 2

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a€‹a€‹a€‹The present volume is the second in a two-volume set entitled Singularities of Differentiable Maps. While the first volume, subtitled Classification of Critical Points and originally published as Volume 82 in the Monographs in Mathematics series, contained the zoology of differentiable maps, that is, it was devoted to a description of what, where, and how singularities could be encountered, this second volume concentrates on elements of the anatomy and physiology of singularities of differentiable functions. The questions considered are about the structure of singularities and how they function.The Newton diagram of a subset is the union of all the compact faces of its Newton polyhedron. We consider the power series f=Xak.aquot; with real or complex coefficients, where k=(k1, ..., k), x*=xa#39;a#39;... xa#39;aquot;. The support of the series is the set of indicesanbsp;...

Title:Singularities of Differentiable Maps, Volume 2
Author:Elionora Arnold, S.M. Gusein-Zade, Alexander N. Varchenko
Publisher:Springer Science & Business Media - 2012-05-16


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