Analysis I. Brief Course

The textbook corresponds to the first-year programme of the discipline "Mathematical Analysis". In the book, the author sought to give a complete, consistent, mathematically rigorous and at the same time maximally compact presentation of all the main definitions, formulations and proofs included in the programme of this course.

The author also sought to make the course as self-sufficient as possible, so it includes some information from other sections of mathematics: set theory, algebra, general topology. The book also includes additional paragraphs that are not included in the standard programmes of the course.

For students of universities and higher education institutions with in-depth study of mathematics. It may be useful for graduate students, teachers and researchers.