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Kettenbrüche. By A. Khintchine. Mathematisch-naturwissenschaftliche Bibliothek Nr. 3. Pp. vi + 96. 1956. (Teubner, Leipzig)

Published online by Cambridge University Press:  03 November 2016

J. W. S. Cassels
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Type
Reviews
Information
The Mathematical Gazette , Volume 42 , Issue 340 , May 1958 , pp. 145 - 146
Copyright
Copyright © Mathematical Association 1958

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References

† Strictly speaking, Markoff’s result relates to quadratic forms, but the theorem for diophantine approximation is closely related and is known by his name. There is another Markoff chain beloved of statisticians, but that is quite a different story.

‡ Compositio Math., 1 (1935), 361-382. It might be mentioned that ergodic theory puts the third part of the book in a wider setting and provides simple proofs of some, but apparently not all, of the results: see C. Ryll-Narzewski, Studia Math. 12 (1951). 74-79.

§ But, then, the original is incredibly cheap by English publishing standards. Ordered through a Cambridge bookseller my copy cost 2/-.