From the reviews of the second edition "This excellent book presents the actual state of ideas on thermo-dynamics, and the new concept of Extended Irreversible Thermo-dynamics (EIT) ... Each chapter is self-consistent and ends with specific exercises and references." (V. Pletser in: Physicalia) 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)