  Models that involve extra dimensions have introduced completely new ways of
looking up on old problems in theoretical physics. The aim of the present notes
is to provide a brief introduction to the many uses that extra dimensions have
found over the last few years, mainly following an effective field theory point
of view. Most parts of the discussion are devoted to models with flat extra
dimensions, covering both theoretical and phenomenological aspects. We also
discuss some of the new ideas for model building where extra dimensions may
play a role, including symmetry breaking by diverse new and old mechanisms.
Some interesting applications of these ideas are discussed over the notes,
including models for neutrino masses and proton stability. The last part of
this review addresses some aspects of warped extra dimensions, and graviton
localization.
