chapter 1 Introduction to the Finite Element Method -- chapter 2 Mathematical Foundations: Vectors and Matrices -- chapter 3 Mathematical Foundations: Tensors -- chapter 4 Introduction to Variational Methods -- chapter 5 Fundamental Notions of Linear Solid Mechanics -- chapter 6 Thermal and Thermomechanical Response -- chapter 7 One-Dimensional Elastic Elements -- chapter 8 Two- and Three-Dimensional Elements in Linear Elasticity and Linear Conductive Heat Transfer -- chapter 9 Solution Methods for Linear Problems: I -- chapter 10 Solution Methods for Linear Problems: II -- chapter 11 Additional Topics in Linear Thermoelastic Systems -- chapter 12 Rotating and Unrestrained Elastic Bodies -- chapter 13 Aspects of Nonlinear Continuum Thermomechanics -- chapter 14 Introduction to Nonlinear FEA -- chapter 15 Incremental Principle of Virtual Work -- chapter 16 Tangent Modulus Tensors for Thermomechanical Response of Elastomers -- chapter 17 Tangent Modulus Tensors for Inelastic and Thermoinelastic Materials -- chapter 18 Selected Advanced Numerical Methods in FEA.