The aim of this article is to review the very important role played by
radiative corrections in precision electroweak physics, in the framework of
both the Fermi Theory of Weak Interactions and the Standard Theory of Particle
Physics. Important theoretical developments, closely connected with the study
and applications of the radiative corrections, are also reviewed. The role of
radiative corrections in the analysis of some important signals of new physics
is also discussed.Comment: 47 pages, to be published in Reviews of Modern Physic