Markov chain Monte Carlo Methods are bringing a revolution into statistics, and in particular in Bayesian statistics. This book is a great introduction to these methods: it is clear, not too formal, easily readable for anybody, who has taken an undergraduate class in mathematical statistics. Applications to a wide range of
statistical techniques are presented (hierarchical models, dynamic models, generalized linear models).
The right book to start with, to understand and to be quickly operative with MCMC methods.