The course of higher mathematics. In 2 books. Textbook for universities

This book is a processed edition of a textbook, widely known to many generations of students. It is written in accordance with the program for the course of higher mathematics for universities.
The manual consists of two books. The content of the first book covers the following sections: the coordinate method and the concept of function, elements of vector and linear algebra, analytical geometry on the plane and space, limits theory, differential calculus of the functions of one variable, uncertain and certain integrals.
The content of the second book covers the following sections: differential calculus of the functions of several variables, multiple curved integrals, rows, differential equations, elements of probability theory and surgery elements.
In each section of the course, a large number of detailed examples and tasks explaining the theoretical material are given.
The manual is addressed to students and university teachers.
3rd edition, processed and corrected