  The purpose of [1] was as follows. ?We consider special sets of continuants
which occur in applications. For these sets we solve the problem of finding
maximal and minimal continuants. There are several methods for finding extremum
such as thee: mathod of basic substitutions (section 4.1), method of quadratic
irrationalities (section 4.2), majorizing inequalities (section 4.3) and unit
variation (section 4.4).? Unfortunately, the text of [1] was littered with
numerous typos, making it difficult to read. This defect is corrected in the
present work. In addition, some of the statements are now provided with more
detailed evidence.
