Following elucidation of the basics of thermodynamics and detailed explanation of chemical kinetics of reactive mixtures, readers are introduced to unique and effective mathematical tools for the modeling, simulation and analysis of chemical non-equilibrium phenomena in combustion and flows. The reactor approach is presented considering thermochemical reactors as the focal points. Novel equations of chemical kinetics compiling chemical thermodynamic and transport processes make reactor models universal and easily applicable to the simulation of combustion and flow in a variety of propulsion and energy generation units. Readers will find balanced coverage of both fundamental material on chemical kinetics and thermodynamics, and detailed description of mathematical models and algorithms, along with examples of their application. Researchers, practitioners, lecturers, and graduate students will all find this work valuable.