Continuum thermodynamics and constitutive theory Continuum Mechanics: Kinematics and Balance Equations Thermodynamics Constitutive Theory and State Spaces Thermodynamics of Irreversible Processes (TIP) Thermodynamics of Irreversible Processes with Internal Variables Rational Thermodynamics and Non Classical Thermodynamics Extended Thermodynamics Shock Fronts and Hyperbolic Systems of Differential Equations Two Dimensional Systems and Material Surfaces Outlook: Mesoscopic Theory of Complex Materials. This book presents different thermodynamic approaches in the area of constitutive theory: thermodynamics of irreversible processes rational thermodynamics and extended thermodynamics. These different approaches are analyzed with respect to their presuppositions as well as to their results and each method is applied to several important examples. In many cases these examples are archetypes for numerous technologically important materials; i.e. complex materials having an internal structure. Some of the examples dealt with in this book are liquid crystals colloid suspensions and fiber suspensions. The book well serves students and researchers who have basic knowledge in continuum mechanics and thermodynamics. It provides a systematic overview of the vast field of thermodynamic constitutive theory beginning from a historical perspective and concluding with outstanding questions in recent research.