Classical Dynamical Systems

This enlarged and corrected second edition of Volume I of W. Thirring's famous Course in Mathematical Physics is devoted to classical dynamical systems. It describes the analysis of manifolds, which provides the mathematical setting for the subsequent discussion of Hamiltonian systems, canonical transformations, constants of motion, and perturbation theory. Certain specific problems are discussed in considerable detail: nonrelativistic motion of particles and systems, relativistic motion in electromagnetic and gravitational fields, and the structure of black holes. The book is suitable as a textbook for students in physics, mathematics, and applied mathematics. Numerous examples and remarks accompany the text.