Book excerpt: This book presents the results of extensive research on the mathematical modelling of the blast furnace process. It describes the mathematical models utilised, providing insights into two-dimensional models of gas dynamics, heat transfer and reduction, the cohesion zone, and the balance equilibrium model. On the basis of these models, it details a method for the analytical study of the blast-furnace process, which essentially complements the experimental methods used in practice. Examples of the solution of practical problems of blast furnace smelting are also provided, and the mathematical models highlighted here can be used in research and design institutes, at metallurgical enterprises and for higher education institutions in the training of students in metallurgical specialties.