1 Preliminaries. - 1. 1 One-dimensional linear thermoelasticity. - 1. 2 An energy integral. - 2 The Coupled and Quasi-static Approximation. - 2. 1 An integro-differential equation. - 2. 2 Construction of solutions. - 2. 3 Failure of the Maximum Principle. - 2. 4 Behaviour of the kernel. - 2. 5 Initial sensitivity to the boundary. - 2. 6 A monotone property of the entropy. - 3 Trigonometric Solutions of the Integro-differential Equation. - 3. 1 Maximum Principles for the pointwise mean total energy density and the pointwise mean square heat flux. - 3. 2 The effect of coupling on trigonometric solutions. - 4 Approximation by Way of the Heat Equation or the Integro-differential Equation. - 4. 1 Status of the heat equation. - 4. 2 Comments on Theorem 13. - 4. 3 Proof of Theorem 13. - 4. 4 Mean and recurrence properties of the temperature. - 4. 5 Status of the integro-differential equation. - 5 Maximum and Minimum Properties of the Temperature Within the Dynamic Theory. - 5. 1 Maximum and minimum properties with prescribed heat fluxes. - 5. 2 Maximum and minimum properties with prescribed temperatures. - References. Language: English