Preface I.Fundamentals in Reacting Flow 1-1 The Equations of gas dynamics 1-2 Multicomponent reacting gas mixtures 1-3 Chmical kinetice 1-4 Classificaltion of combustion waves:deflagration and detonation 1-5 The simplified combustion equations and noddimensinlization 1-6 The Shvab-Zaldovich formulation and activation energy asymptotics II.Premized Flame(Theories for weak Deflagraion) II-1 The plane premixed flame II-2 Effccts of Lewis number and reaction order II-3 Theory of perturbation II-4 Stretched premixed flame II-5 Premixed flame in a colsed container III.diffusion Flame III-1 The Burke-Schumann problem and the flame sheet approximation III-2 The burning of a fuel droplet III-3 Stretched diffusion flame:ignition and extinction III-4 Ignition of a hydrogen-air diffusion flame in a supersonic mixing layer with full chemistry