1. Introduction.- 2. Tensor Analysis, Invariants, and Representations.- 3. Kinematics and Dynamics.- 4. Constitutive Equations: General Principles.- 5. Non-Newtonian and Viscoelastic Fluids.- 6. Turbulent Flows.- 7. The Boltzmann Equation.- 8. Properties of the Hermite Polynomials.- Table of symbols.- References.