Authored by some of the most prestigious international researchers, this book contains 21 papers that address five general categories of combustion science: flame theory, heterogeneous combustion, unsteady and cellular combustion, turbulent combustion, and explosions and detonations. The book is dedicated to Yakov B. Zel'dovich, an eminent researcher known for his theoretical works on combustion and detonation, who served as the first chairman of the Scientific Council of the Academy of Sciences of the USSR. The first five papers give an important perspective of the developments in flame theory, and the critical role that Zel'dovich played in them. The second section examines the issues of heterogeneous combustion and the recent advances in the field. Material dealing with unsteady cellular combustion is addressed in the third section, and the fourth investigates turbulent combustion. The final section treats the subjects of detonations and explosions.