1 Introduction.- 1.1 Preliminary Remarks.- 1.2 Chains of Mass Points.- 1.3 Contents of the Book.- 2 Geometry.- 2.1 Reference and Current Configurations.- 2.2 Polar Decomposition of the Deformation Gradient.- 2.3 Some Other Measures of Deformation.- 3 Kinematics.- 3.1 Description of Motion.- 3.2 Time Changes of Some Geometric Objects.- 3.3 Change of the Reference Frame.- 4 Balance Equations.- 4.1 Preliminary Remarks.- 4.2 Global Balance Equations.- 4.3 Local Balance Equations.- 4.4 Local Conservation Laws.- 4.5 Spatial Form of Balance Equations.- 4.6 Spatial Form of the Local Conservation Laws.- 4.7 Conservation Laws in a Non-Inertial Frame of Reference.- 5 Structure of Field Equations.- 5.1 Introductory Remarks.- 5.2 Isotropic Functions.- 5.3 Galilean Invariance of Field Equations.- 6 Entropy Principle.- 6.1 Preliminary Remarks.- 6.2 Entropy Inequality.- 6.3 Hyperbolicity of Field Equations.- 6.4 Thermoelastic Materials with Mechanical Constraints.- 6.5 Solid Interfaces.- 7 Ideal Gase.- 7.1 Introduction.- 7.2 Galilean Invariance; Material Frame Indifference.- 7.3 Entropy Inequality.- 7.4 Hyperbolicity.- 8 Maxwellian Fluids; Viscoelastic Solids Part 1: Maxwellian Fluids.- 8.1 Background of the Models of Maxwellian Fluids.- 8.2 Constitutive Relations for a Non-Conducting Non-Newtonian Fluid; Field Equations.- 8.3 Entropy Principle.- 8.4 Thermodynamical Stability; Shear Pulses.- 8.5 Incompressibility; 2nd Grade Fluids.- 8.6 Field Equations in the Lagrangian Description.- 8.7 Second-Order Model of Isotropic Materials.- 8.8 Linear Viscoelastic Solids.- 9 Second Sound.- 9.1 Preliminary Remarks.- 9.2 Thermodynamical Model of the Phonon Gas.- 9.3 Four-Field Model.- 9.4 Thermal Waves.- 10 Some Multicomponent System.- 10.1 Introduction.- 10.2 Lagrangian Description.- 10.3 BalanceEquation for Porosity.- 10.4 Second Law of Thermodynamics for a Thermoelastic Skeleton and Ideal Fluid Components.- 10.5 Small Deviations from the Thermodynamical Equilibrium.- 10.6 Propagation of Plane Waves of Small Amplitude.- 10.7 Final Remarks.- Appendix A: Thermostatics.- Appendix B: Curvilinear Coordinates.- Appendix C: Hyperbolic Systems of PDE.- C.l. Preliminaries.- C.2. Single Equation of Two Independent Variables.- C.3. Set of Equations with Two Independent Variables.- C.4. Time of Existence of Classical Solutions.- C.5. Systems with Many Independent Variables.- References.