Textbook for Higher Education Institutions. Course in Higher Mathematics. Volume III, Part 1

A fundamental textbook on higher mathematics, translated into many languages of the world, is characterized, on the one hand, by systematicity and rigor of presentation, and on the other hand, by simple language, detailed explanations, and numerous examples. In the first part of the third volume, determinants and the solution of systems of equations, linear transformations and quadratic forms, the basics of group theory, linear representations of groups, and continuous groups are discussed. In this, the 11th edition, outdated terminology is noted, some remarks have been made regarding the methodology of presenting the material, which differs from the modern one, and typos have been corrected. For university and technical college students.