The collection consists of three parts: Image Recognition, Information Storage and Search Theory, Logical Approach, and is designed for undergraduate and graduate students specializing in mathematical cybernetics, discrete mathematics, and mathematical computer science. In a concise form, it gives an idea of the main sections of the course "Discrete Analysis and Intelligent Systems", sets out the general concept of discrete direction in mathematics, as well as the main sections of the theory of intelligent systems. pattern recognition, database theory and mathematical logic. The collection contains a large number of diverse tasks that will help better assimilation of material, also answers to problems with a detailed analysis of solutions and instructions, which allows students to use the manual when working independently.