A Brief Review on Extra Dimensions

Considering models with extra dimensions have introduced completely new ways of looking up on old problems in theoretical physics, and conversely, it has also introduced new interesting problems of theoretical interest. Here we present a brief review on the developments of the idea and the current trends. We discuss both theoretical and phenomenological aspects of some models where extra dimensions play a role, and which provide particular insights for the possible use of additional dimensions in particle model building as well as in some new interesting scenarios of possible cosmological applications. Given the interest of this special volume, we particularly underline some of the contributions to the field by people working in Mexico, from the dawn to the present days of extra dimensional models.