Mathematical analysis. Functions of one variable. Kadomtsev S.B., Shukhov A.G.

The book proposed is devoted to the consideration of the main problems of mathematical analysis. One of its distinguishing features is special attention paid to the axiom of choice. The book consists of two parts - the development of the basics of mathematical analysis before the axiom of the choice and after it.

The first part includes the following sections: the theory of material numbers, numerical sequences and rows, polynomials, function limit, continuity and differentiation.

The second part begins with the formulation and systematic use of the axiom of the choice. The main sections of the second part: theorems about continuous and differentiated functions, uncertain, certain and non -unit integrals.

Another feature of the book is the severity of the presentation of the material. Almost all formulated statements have been proven.

The book is focused on the widest circle of readers, since the basis for its understanding is the school course of mathematics. The material can be useful to students of physical and mathematical schools, university students with expanded mathematical training, and can also be used in the system of additional education.