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
History of Continued Fractions and Padé Approximants
Language: en
Pages: 556
Authors: Claude Brezinski
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great e
Continued Fractions
Language: en
Pages: 202
Authors: A. M. Rockett
Categories: Mathematics
Type: BOOK - Published: 1992-08-01 - Publisher: World Scientific

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This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of th
Continued Fractions
Language: en
Pages: 321
Authors: Lisa Lorentzen
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: atlantis press

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Continued Fractions consists of two volumes -- Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2