Combustion systems are confined fields of compressible fluids where exothermic processes of combustion take place, subject to boundary conditions imposed at its borders. The subject of Dynamics of Combustion Systems is presented in three parts: Part 1. Exothermicity – considering the thermodynamic effects due to evolution of exothermic energy in a combustion system Chapter 1. Thermodynamic Aspects Chapter 2. Evolutionary AspectsChapter 3. Heat Transfer AspectsChapter 4. Chemical Kinetic Aspects Part 2. Field– exposing the dynamic properties of flow fields where the exothermic energy is deposited Chapter 5. Aerodynamic AspectsChapter 6. Random Vortex MethodChapter 7. Gasdynamic AspectsChapter 8. Gasdynamic Fronts Part 3. Explosions – revealing the dynamic features of fields and fronts due to rapid deposition of exothermic energy Chapter 9. Blast Wave TheoryChapter 10. Self-Similar SolutionChapter 11. Phase Space MethodChapter 12. Detonation