Information Dynamics : In Classical and Quantum Systems The concept of information Simple applications Epistemological aspects Information and randomness Information in classical Hamiltonian dynamics Information in classical dissipative dynamics Fluctuations noise and microscopic degrees of freedom Information and quantum mechanics: digitalizing the microcosm Physical aspects of computing Quantum computation. This wide ranging book introduces information as a key concept not only in physics from quantum mechanics to thermodynamics but also in the neighboring sciences and in the humanities. The central part analyzes dynamical processes as manifestations of information flows between microscopic and macroscopic scales and between systems and their environment. Quantum mechanics is interpreted as a reconstruction of mechanics based on fundamental limitations of information processing on the smallest scales. These become particularly manifest in quantum chaos and in quantum computing. Covering subjects such as causality prediction undecidability chaos and quantum randomness the book also provides an information theoretical view of predictability. More than 180 illustrations visualize the concepts and arguments. The book takes inspiration from the authors graduate level topical lecture but is also well suited for undergraduate studies and is a valuable resource for researchers and professionals.