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.