Rassoul-Agha and Seppäläinen present students, academics, researchers, and professionals working in various mathematics fields with a deep investigation of large deviations in mathematics. The authors have organized the sixteen chapters that make up the main body of their text in three sections devoted to general theory and i.i.d processes in large deviations, statistical mechanics, and additional large deviation topics. Specific subjects covered include the large deviation principle, convex analysis in large deviation theory, formalism in classical lattice systems, and others. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)