Online social networks, in addition to the functions of supporting communication, exchange of views and obtaining information by their members, have recently become increasingly objects and means of information management and the arena of information confrontation. In the near future, they will inevitably become an essential tool of information influence, including for the purpose of manipulating the individual, social groups and society as a whole, as well as, probably, the field of information wars. The book is devoted to the review of the known and description of the original results of the study of mathematical models of social networks. The main emphasis is on models of information influence, management and confrontation. The work is designed for university students, graduate students and specialists in information technology and modeling of social systems and processes .