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Multidimensional Continued Fractions
Language: en
Pages: 250
Authors: Fritz Schweiger
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: Oxford University Press, USA

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Mathematician Fritz Schweiger, whose academic affiliation is not provided, provides an introduction to a field of research that has seen remarkable progress in
Geometry of Continued Fractions
Language: en
Pages: 409
Authors: Oleg Karpenkov
Categories: Mathematics
Type: BOOK - Published: 2013-08-15 - Publisher: Springer Science & Business Media

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Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise
Geometry of Continued Fractions
Language: en
Pages: 462
Authors: Oleg N. Karpenkov
Categories: Mathematics
Type: BOOK - Published: 2022-05-28 - Publisher: Springer Nature

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This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximati
Automatic Sequences
Language: en
Pages: 592
Authors: Jean-Paul Allouche
Categories: Computers
Type: BOOK - Published: 2003-07-21 - Publisher: Cambridge University Press

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Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first inte
Continued Fractions
Language: en
Pages: 261
Authors: Doug Hensley
Categories: Mathematics
Type: BOOK - Published: 2006-03-01 - Publisher: World Scientific

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The Euclidean algorithm is one of the oldest in mathematics, while the study of continued fractions as tools of approximation goes back at least to Euler and Le