Textbooks for Higher Education Institutions. Higher Mathematics Course. Volume I

A fundamental textbook on higher mathematics, which has undergone more than twenty editions, 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. The first volume covers functional dependence and the theory of limits, the concept of derivative and integral, series and their applications to approximate computations, functions of several variables, complex numbers, the basics of higher algebra, and integration of functions. In this, the 24th edition, outdated terminology has been noted, some remarks have been made regarding the methodology of presenting the material, which differs from the modern one, and typographical errors have been corrected. For students of universities and technical higher education institutions.