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Generalized Notions of Continued Fractions
Language: en
Pages: 154
Authors: Juan Fernández Sánchez
Categories: Mathematics
Type: BOOK - Published: 2023-07-20 - Publisher: CRC Press

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Ancient times witnessed the origins of the theory of continued fractions. Throughout time, mathematical geniuses such as Euclid, Aryabhata, Fibonacci, Bombelli,
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
Recurrence Sequences
Language: en
Pages: 338
Authors: Graham Everest
Categories: Mathematics
Type: BOOK - Published: 2015-09-03 - Publisher: American Mathematical Soc.

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Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost every
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
Continued Fractions and Signal Processing
Language: en
Pages: 275
Authors: Tomas Sauer
Categories: Mathematics
Type: BOOK - Published: 2021-09-06 - Publisher: Springer Nature

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Besides their well-known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer science. The goal of t