  This review aims to offer a pedagogical introduction to the analytic
conformal bootstrap program via a journey through selected topics. We review
analytic methods which include the large spin perturbation theory, Mellin space
methods and the Lorentzian inversion formula. These techniques are applied to a
variety of topics ranging from large-N theories, to the epsilon expansion and
holographic superconformal correlators, and are demonstrated in a large number
of explicit examples.
