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The theory of uniform distribution. Transl. from the German by Henry Orde. With a foreword by S. K. Zaremba. (English) Zbl 0563.10001

Topics and Texts in Mathematics, Vol. 1. Berkhamsted, Herts., England: A B Academic Publishers. X, 141 p. £14.50; $ 27.50 (1984).
The qualities of the author’s original book [Theorie der Gleichverteilung (1979; Zbl 0406.10001)] did not get lost in the translation into English. The text is even enriched by a foreword by S. K. Zaremba, asking attention to the variety of applications of the theory and coming to the conclusion: the fact remains that the ramifications of the theory of uniform distribution are so wide that a modern mathematician should not ignore it altogether.
Reviewer: L.Kuipers

MSC:

11-02 Research exposition (monographs, survey articles) pertaining to number theory
11J71 Distribution modulo one
11K06 General theory of distribution modulo \(1\)
65D30 Numerical integration
54D99 Fairly general properties of topological spaces

Citations:

Zbl 0406.10001