Barreira (Instituto Superior Tecnico, Lisbon) and Pesin (Pennsylvania State University) introduce the ergodic properties of smooth dynamical systems on Riemannian manifolds with respect to natural invariant measures, focusing on systems whose trajectories are hyperbolic and Lyapunov exponents. The graduate text is a revised version of Lyapunov Exponents and Smooth Ergodic Theory published by AMS in 2001, and reprints selections from Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents published in 2007. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)