ch. 1. Introduction to the finite element method -- ch. 2. Mathematical foundations : vectors and matrices -- ch. 3. Mathematical foundations : tensors -- ch. 4. Introduction to variational methods -- ch. 5. Fundamental notions of linear solid mechanics -- ch. 6. Thermal and thermomechanical response -- ch. 7. One-dimensional elastic elements -- ch. 8. Two- and three-dimensional elements in linear elasticity and linear conductive heat transfer -- ch. 9. Solution methods for linear problems : I -- ch. 10. Solution methods for linear problems : II -- ch. 11. Additional topics in linear thermoelastic systems -- ch. 12. Rotating and unrestrained elastic bodies -- ch. 13. Aspects of nonlinear continuum thermomechanics -- ch. 14. Introduction to nonlinear FEA -- ch. 15. Incremental principle of virtual work -- ch. 16. Tangent modulus tensors for thermomechanical response of elastomers -- ch. 17. Tangent modulus tensors for inelastic and thermoinelastic materials -- ch. 18. Selected advanced numerical methods in FEA.