Explore the fundamental principles of Non-Equilibrium Thermodynamics with this comprehensive textbook from The Bookish Owl. Delve into the crucial role of transport and diffusion processes in diverse scientific and engineering fields, from heat distribution and fluid dynamics to reaction-diffusion systems and mixture concentrations. This essential guide bridges the gap between basic conservation laws and partial differential equations, deriving key equations like those for mass, momentum, and energy from first principles. Discover the Onsager relations and their implications for linear thermodynamics. The second part offers a statistical grounding using kinetic gas theory, validating phenomenological derivations with classical many-particle systems. Ideal for advanced Bachelor’s and Master’s students in physics, mechanical engineering, and applied mathematics, this book provides a robust framework for understanding complex physical phenomena.