"Version: 202112"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Dynamical systems -- 2.1. Canonical mechanics -- 2.2. Weakly-chaotic dynamics -- 2.3. Quantum mechanics3. Phase space lattices -- 3.1. Lattice symmetry in phase space -- 3.2. Quasinumber band theory -- 3.3. Noncommutative geometry4. Many-body physics in phase space -- 4.1. Classical many-body dynamics …