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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
Neverending Fractions
Language: en
Pages: 223
Authors: Jonathan Borwein
Categories: Mathematics
Type: BOOK - Published: 2014-07-03 - Publisher: Cambridge University Press

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This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians.
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
Cubic Fields with Geometry
Language: en
Pages: 493
Authors: Samuel A. Hambleton
Categories: Mathematics
Type: BOOK - Published: 2018-11-19 - Publisher: Springer

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The objective of this book is to provide tools for solving problems which involve cubic number fields. Many such problems can be considered geometrically; both