This book, "Rational Extended Thermodynamics" by Ingo Müller and Tommaso Ruggeri, is a comprehensive treatise on the principles and applications of extended thermodynamics. Extended thermodynamics is an extension of classical thermodynamics that accounts for rapidly varying and strongly inhomogeneous processes, such as the propagation of high-frequency waves and shock waves. The book covers various aspects of extended thermodynamics, including: 1. **Field Equations and Constitutive Quantities**: The book discusses the field equations of balance type and the constitutive quantities that depend on the local state, ensuring the well-posedness of initial value problems and finite speeds of propagation. 2. **Kinetic Theory of Gases**: It explores the kinetic theory of monatomic gases, including the Boltzmann equation, moments, and the Grad 13-moment theory. The book also addresses the relationship between extended thermodynamics and kinetic theory, particularly in the context of gases with large mean free paths. 3. **Relativistic Thermodynamics**: The book delves into relativistic thermodynamics, discussing the balance equations, constitutive restrictions, and specific results for relativistic and degenerate gases. 4. **Waves in Extended Thermodynamics**: It examines the propagation of waves in extended thermodynamics, including linear and nonlinear waves, acceleration waves, and shock waves. 5. **Extended Thermodynamics of Moments**: The book introduces the field equations for moments and discusses the characteristic speeds and mean eigenfunctions. 6. **Light Scattering and Sound Propagation**: It explores the application of extended thermodynamics to light scattering and sound propagation, providing experimental evidence and theoretical analysis. 7. **Shock Wave Structure**: The book reviews the structure of shock waves in extended thermodynamics, comparing it with conventional theories and discussing the limitations of the 13-field theory. 8. **Radiation and Phonons**: It covers the extended thermodynamics of radiation and phonons, including the radiative transfer equation, phonon transfer equation, and the heat pulse experiment. 9. **Thermodynamics of Metal Electrons**: The book discusses the thermodynamics of metal electrons, including the kinetic theory and the laws of Ohm and Fourier. 10. **Viscoelastic Fluids**: It explores the thermodynamics of viscoelastic fluids, including the stress of a second-grade fluid and the rate-type versus differential-type constitutive equations. The book is a valuable resource for researchers and students in the fields of thermodynamics, kinetic theory, and fluid dynamics, providing a systematic and rigorous treatment of extended thermodynamics.This book, "Rational Extended Thermodynamics" by Ingo Müller and Tommaso Ruggeri, is a comprehensive treatise on the principles and applications of extended thermodynamics. Extended thermodynamics is an extension of classical thermodynamics that accounts for rapidly varying and strongly inhomogeneous processes, such as the propagation of high-frequency waves and shock waves. The book covers various aspects of extended thermodynamics, including: 1. **Field Equations and Constitutive Quantities**: The book discusses the field equations of balance type and the constitutive quantities that depend on the local state, ensuring the well-posedness of initial value problems and finite speeds of propagation. 2. **Kinetic Theory of Gases**: It explores the kinetic theory of monatomic gases, including the Boltzmann equation, moments, and the Grad 13-moment theory. The book also addresses the relationship between extended thermodynamics and kinetic theory, particularly in the context of gases with large mean free paths. 3. **Relativistic Thermodynamics**: The book delves into relativistic thermodynamics, discussing the balance equations, constitutive restrictions, and specific results for relativistic and degenerate gases. 4. **Waves in Extended Thermodynamics**: It examines the propagation of waves in extended thermodynamics, including linear and nonlinear waves, acceleration waves, and shock waves. 5. **Extended Thermodynamics of Moments**: The book introduces the field equations for moments and discusses the characteristic speeds and mean eigenfunctions. 6. **Light Scattering and Sound Propagation**: It explores the application of extended thermodynamics to light scattering and sound propagation, providing experimental evidence and theoretical analysis. 7. **Shock Wave Structure**: The book reviews the structure of shock waves in extended thermodynamics, comparing it with conventional theories and discussing the limitations of the 13-field theory. 8. **Radiation and Phonons**: It covers the extended thermodynamics of radiation and phonons, including the radiative transfer equation, phonon transfer equation, and the heat pulse experiment. 9. **Thermodynamics of Metal Electrons**: The book discusses the thermodynamics of metal electrons, including the kinetic theory and the laws of Ohm and Fourier. 10. **Viscoelastic Fluids**: It explores the thermodynamics of viscoelastic fluids, including the stress of a second-grade fluid and the rate-type versus differential-type constitutive equations. The book is a valuable resource for researchers and students in the fields of thermodynamics, kinetic theory, and fluid dynamics, providing a systematic and rigorous treatment of extended thermodynamics.