Mathematical analysis. Textbook. Volume 1

The purpose of the textbook is to help bachelors master the basic concepts and methods of studying mathematical analysis. In volume 1, the following sections are studied: the theory of the sets, the theory of limits, the differential calculation of the function of one variable, the study of the properties of the function and the construction of the graph, integral calculation of the functions of one variable (uncertain, certain, unrealistic integrals), the technique of integration, hyperbolic functions, applications to the analysis, and solving practical problems. These sections are studied in universities, as a rule, in the first semester in the framework of independent discipline "mathematical analysis" or courses "Higher Mathematics", "Mathematics".
Much attention is paid to the comparison of the methods under consideration, the correct choice of a scheme for the study of tasks, the analysis of complex situations arising in the study of these sections of mathematical analysis.
For teachers, students and graduate students of universities studying mathematical analysis