ON THE WAY TO MATHEMATICS
MATHEMATICAL ANALYSIS as a section of higher mathematics is its classical part and therefore changes little in terms of its teaching. Generally, it contains all the basic concepts of higher mathematics, which are then found in subsequent more specialized courses. Since there are quite a large number of such concepts, the presentation of mathematical analysis is reduced to the definition of all these concepts and, accordingly, related theorems, among which there are also very complex ones. In this case, the proofs of complex theorems are omitted. The course of mathematical analysis proposed below is based on a somewhat different principle. Briefly, it can be characterized as follows: first, a list of basic theorems is selected, and then only those concepts that are necessary to prove the theorems of the selected list are introduced. As a result of this approach, with a noticeable reduction in the volume of the book, all theorems are proved completely. To whom do we of...