This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of ...
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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 approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.
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Add this copy of Geometry of Continued Fractions to cart. $51.64, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2023 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2023, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2023
Language:
English
Alibris ID:
17597051883
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Add this copy of Geometry of Continued Fractions to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2023, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2023
Language:
English
Alibris ID:
17603648282
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New. Print on demand Contains: Illustrations, black & white. Algorithms and Computation in Mathematics . XX, 451 p. 69 illus. Intended for professional and scholarly audience.
Add this copy of Geometry of Continued Fractions (Algorithms and to cart. $71.67, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2023 by Springer.
Edition:
2023, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Add this copy of Geometry of Continued Fractions (Algorithms and to cart. $107.79, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2023 by Springer.
Edition:
2023, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
