For the first time, one of the most authoritative books on the development and use of algorithms is published in Russian. Algorithms are the basis of programming, defining how software will use data structures. You will become familiar with the basic aspects of algorithm construction, basic concepts and definitions, data structures, then move on to basic algorithm construction techniques, undecidability and methods for solving undecidable problems, and, Finally, explore randomization in algorithm design. The most complex topics are explained with clear, simple examples, so the book can be used for self-study by students, as well as by research scientists or computer professionals who want to gain insight into the application of certain methods algorithm design. Algorithmic analysis consists of two fundamental components: isolating the mathematically pure core of the problem and identifying methods for designing a suitable algorithm based on the structure of the problem. And the better the analyst has a full arsenal of possible design methods, the faster he begins to recognize the “pure” formulations underlying the complex problems of the real world.