  Milnor's fibration theorem is about the geometry and topology of real and
complex analytic maps near their critical points, a ubiquitous theme in
mathematics. As such, after 50 years, this has become a whole area of research
on its own, with a vast literature, plenty of different viewpoints, a large
progeny and connections with many other branches of mathematics. In this work
we revisit the classical theory in both the real and complex settings, and we
glance at some areas of current research and connections with other important
topics. The purpose of this article is two-fold. On the one hand, it should
serve as an introduction to the topic for non-experts, and on the other hand,
it gives a wide perspective of some of the work on the subject that has been
and is being done. It includes a vast literature for further reading.
