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This book consists of two parts: the first one deals with kinetics of processes in heterogeneous systems and those with different degrees of phase dispersion. Strict analytic methods are recommended for solving the kinetic equations for non-catalytic processes in gas, liquid, and solid phases herein. The second part of the book is devoted to studying structure and properties of catalysts and to the developing of catalysis theories. Kinetic methods to describe catalytic process have been worked out. Mechanisms of elementary catalytic stages are under consideration: theoretical methods of selecting catalysts for chemical reactions are being suggested on the basis of the theory of catalysis by polyhedra and Generalised Quantum-Chemical Principle. Mechanisms of adsorption, homogenous and heterogeneous catalysis, are under consideration. Theoretical parts are illustrated by problems with solutions.