Table of Contents
Introduction
I Dynamics
Deterministic dynamical systems
Linear and integrable systems
Stability and long-time behavior
Ergodic theory
Numerical Algorithms
II Probability
Probability Theory
Discrete-time shastic processes
Continuous-time shastic processes
Information entropy
III Probability in dynamical evolution
Time evolution of broadened initial states
Shastic processes generated by observables
Shastic dynamical systems
IV Probability in scientific reasoning
Interpretations of probability
Parameter estimation and hypothesis testing
Bayesian inferences
V Probability in physics
Equilibrium statistical mechanics
Non-equilibrium statistical mechanics
Foundational issues of statistical mechanics
Quantum Mechanics
A Classical Mechanics
B Thermostatics
C Fluid dynamics
D Some proofs and explicit computations
E Mathematical tools, conventions and notation
References
Index