From the reviews of the third edition: "This is an excellent monograph presenting comprehensively the state-of-art in one of the fast developing branches of non-equilibrium thermodynamics. The name of the theory emphasizes the main idea exploiting in the description on non-equilibrium states, namely, the extension of classical thermodynamic state space by means of additional independent variables, such as heat flux, entropy flux, and so on. ... Three parts of the book include the general theory, microscopic foundation, and selected applications. ... recommended for using in advanced courses for graduate students." (Arkadi Berezovski, Zentralblatt MATH, Vol. 974, 2001) "The book is an excellent introduction to the subject on which "several hundred" papers have been published by many groups during the twenty years or so of its existence." (P.T.Landsberg, Southampton, Zbl 0785.73002)

• General Theory.- Classical, Rational and Hamiltonian Formulations of Non-equilibrium Thermodynamics.- Extended Irreversible Thermodynamics: Evolution Equations.- Extended Irreversible Thermodynamics: Non-equilibrium Equations of State.- Microscopic Foundations.- The Kinetic Theory of Gases.- Fluctuation Theory.- Information Theory.- Linear Response Theory.- Computer Simulations.- Selected Applications.- Hyperbolic Heat Transport in Rigid Conductors.- Heat Transport in Micro- and Nano-systems.- Waves in Fluids: Sound, Ultrasound, and Shock Waves.- Generalised Hydrodynamics.- Non-classical Diffusion, Thermo-diffusion and Suspensions.- Electrical Systems and Micro-devices Modelization.- From Thermoelastic Solids to Rheological Materials.- Thermodynamics of Polymer Solutions Under Shear Flow.- Relativistic Formulation.- Viscous Cosmological Models and Cosmological Horizons.

From the reviews of the third edition: "This is an excellent monograph presenting comprehensively the state-of-art in one of the fast developing branches of non-equilibrium thermodynamics. The name of the theory emphasizes the main idea exploiting in the description on non-equilibrium states, namely, the extension of classical thermodynamic state space by means of additional independent variables, such as heat flux, entropy flux, and so on. ... Three parts of the book include the general theory, microscopic foundation, and selected applications. ... recommended for using in advanced courses for graduate students." (Arkadi Berezovski, Zentralblatt MATH, Vol. 974, 2001) "The book is an excellent introduction to the subject on which "several hundred" papers have been published by many groups during the twenty years or so of its existence." (P.T.Landsberg, Southampton, Zbl 0785.73002)

• General Theory.- Classical, Rational and Hamiltonian Formulations of Non-equilibrium Thermodynamics.- Extended Irreversible Thermodynamics: Evolution Equations.- Extended Irreversible Thermodynamics: Non-equilibrium Equations of State.- Microscopic Foundations.- The Kinetic Theory of Gases.- Fluctuation Theory.- Information Theory.- Linear Response Theory.- Computer Simulations.- Selected Applications.- Hyperbolic Heat Transport in Rigid Conductors.- Heat Transport in Micro- and Nano-systems.- Waves in Fluids: Sound, Ultrasound, and Shock Waves.- Generalised Hydrodynamics.- Non-classical Diffusion, Thermo-diffusion and Suspensions.- Electrical Systems and Micro-devices Modelization.- From Thermoelastic Solids to Rheological Materials.- Thermodynamics of Polymer Solutions Under Shear Flow.- Relativistic Formulation.- Viscous Cosmological Models and Cosmological Horizons.

From the reviews of the third edition: "This is an excellent monograph presenting comprehensively the state-of-art in one of the fast developing branches of non-equilibrium thermodynamics. The name of the theory emphasizes the main idea exploiting in the description on non-equilibrium states, namely, the extension of classical thermodynamic state space by means of additional independent variables, such as heat flux, entropy flux, and so on. ... Three parts of the book include the general theory, microscopic foundation, and selected applications. ... recommended for using in advanced courses for graduate students." (Arkadi Berezovski, Zentralblatt MATH, Vol. 974, 2001) "The book is an excellent introduction to the subject on which "several hundred" papers have been published by many groups during the twenty years or so of its existence." (P.T.Landsberg, Southampton, Zbl 0785.73002)

• General Theory.- Classical, Rational and Hamiltonian Formulations of Non-equilibrium Thermodynamics.- Extended Irreversible Thermodynamics: Evolution Equations.- Extended Irreversible Thermodynamics: Non-equilibrium Equations of State.- Microscopic Foundations.- The Kinetic Theory of Gases.- Fluctuation Theory.- Information Theory.- Linear Response Theory.- Computer Simulations.- Selected Applications.- Hyperbolic Heat Transport in Rigid Conductors.- Heat Transport in Micro- and Nano-systems.- Waves in Fluids: Sound, Ultrasound, and Shock Waves.- Generalised Hydrodynamics.- Non-classical Diffusion, Thermo-diffusion and Suspensions.- Electrical Systems and Micro-devices Modelization.- From Thermoelastic Solids to Rheological Materials.- Thermodynamics of Polymer Solutions Under Shear Flow.- Relativistic Formulation.- Viscous Cosmological Models and Cosmological Horizons.