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Continued fractions. Translated by Peter Wynn. (English) Zbl 0117.28503
Groningen, The Netherlands: P. Noordhoff, Ltd. 101 pp. (1963).
This is another translation into English of the third Russian edition (see the following title Zbl 0117.28601; also the German translation “Kettenbr├╝che”, Leipzig: B. G. Teubner (1956; Zbl 0071.03601). The third Russian edition was reprinted from the second (1949; Zbl 0037.32503) with only a few brief bibliographical remarks added. Aside from these notes there is no bibliography. The second Russian edition appeared in 1949 with no essential changes from the first edition in 1935 (JFM 63.0924.02). As in the other translations, Chapter I is concerned with the elementary recurrence relations. Chapter II deals with the real number system constructed from continued fractions; regular continued fractions and other problems are treated. Chapter III is concerned with a presentation of the metric theory of continued fractions.
Reviewer: E. Frank

MSC:
11-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory
11A55 Continued fractions
11J70 Continued fractions and generalizations
11K50 Metric theory of continued fractions
11B37 Recurrences