This proceedings book brings selected works from two conferences the 2nd Brazil-Mexico Meeting
on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities that were hold in
Salvador in July 2015. All contributions were carefully peer-reviewed and revised and cover
topics like Equisingularity Topology and Geometry of Singularities Topological Classification
of Singularities of Mappings and more. They were written by mathematicians from several
countries including Brazil Spain Mexico Japan and the USA on relevant topics on Theory of
Singularity such as studies on deformations Milnor fibration foliations Catastrophe theory
and myriad applications. Open problems are also introduced making this volume a must-read both
for graduate students and active researchers in this field.