The monograph from a single position outlines the mathematical and physico-chemical foundations of the modern theory of combustion and explosion. It summarizes theoretical studies on thermal and chain explosion, Combustion Theory , Initiating a wave of chemical transformation, Laminar Flame Spread, Critical events during combustion (sustainability ,) Limits of distribution, Transition from one combustion mode to another), diffusion combustion of unmixed gases and other questions of the mechanics of the reacting gas. Chapter 1 Introduction . FOUNDATION OF SCIENCE ABOUT GENERATION: MAIN PHYSICAL PRESENTATIONS AND CONCEPTS' 1. Some information from chemical kinetics and thermochemistry' 2. Self-accelerating chemical reactions and critical phenomena' explosion and self-ignition. Theory of N. N. Semenova' 3. Homogeneous Chemical Reactor of Perfect Mixing' 4. Laminar Flame Chapter 2 STATIONARY THEORY OF THE HEAT EXPLOSION' 1. The basic premise of the theory' 2. Thermal explosion conditions' 3. Stability of solutions to the stationary theory of thermal explosion' 4. Some general properties of solutions of stationary theory of thermal explosion in vessels of arbitrary shape' 5. Numerical study of thermal explosion. Experiments' 6. Application of the idea of thermal explosion in the mechanics of polymers Chapter 3 INITIATION OF WAVES OF CHEMICAL TRANSFORMATION IN HOT MIXTURE. STATIONARY STATEMENTS TASKS' 1. Combustion of combustible mixture by heated surfaces' 2. Stationary theory of inflammation by heated surfaces as an intermediate asymptotic of non-stationary process' 3. Initiation of chemical reaction by active centers Chapter 4 LAMINAR PLAY' 1. Flame Propagation Theory Equations' 2. On the Existence and Uniqueness of a Stationary Solution of the System of Equations of the Theory of Flame Propagation' 3. The speed and structure of the flame front at high activation energy of the chemical reaction' 4. The spectrum of flame propagation rates at the reaction rate disappearing in the initial state. Propagation of chain insulated flames' 5. Formation of a stationary laminar flame front' 6. Diffusion-thermal stability of laminar flames' 7. Fire in the stream with speed gradient. 'Extension? flame' 8. Induction Burning Mode Chapter 5 COMPLEX AND CHANGING REACTIONS IN PLAYS' 1. Multistage Flame Theory: Purpose and Methods' 2. Flames with unbranched chain reactions' 3. Flames with branched chain reactions' 4. Simple gross diagrams of multistage chemical transformations in flames' 5. Cold (insulated) flame Chapter 6 GAZODYNAMICS OF BURNING' 1. Displacement of the flame in the gas stream. Condition of stationary combustion'2. Burning in closed containers. Mache Effect' 3. Hydrodynamic Flame Instability' 4. Acceleration of the flame and the occurrence of detonation in pipes Chapter 7 DIFFUTIONAL BURNING OF GAS' 1. Common Properties of Diffusion Flames. Burning surface' 2. Burke's task?Shuman's 3. Limit of diffusion combustion of unmixed gases $4. The diffusion flame of anti-directional jets of oxidizer and fuel Other books by the author: Elements of mathematical physics Higher mathematics for beginners and its application to physics. The Structure and Evolution of the Universe . The Drama of Ideas in Nature Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena Higher Mathematics for Beginner Physicists and Technicians