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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
Cubic Fields with Geometry
Language: en
Pages: 493
Authors: Samuel A. Hambleton
Categories: Mathematics
Type: BOOK - Published: 2018-11-07 - 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
Analytic Theory of Continued Fractions
Language: en
Pages: 449
Authors: Hubert Stanley Wall
Categories: Mathematics
Type: BOOK - Published: 2018-05-16 - Publisher: Courier Dover Publications

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One of the most authoritative and comprehensive books on continued fractions, this monograph presents a unified theory correlating certain parts and application
Handbook of Continued Fractions for Special Functions
Language: en
Pages: 430
Authors: Annie A.M. Cuyt
Categories: Mathematics
Type: BOOK - Published: 2008-04-12 - Publisher: Springer Science & Business Media

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Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer sc