Name: Geometry of Continued Fractions (en Inglés)
SKU: 56776352
Price: 63.69 USD
Availability: InStock
Author: Karpenkov, Oleg N.
ISBN: 9783662652794

portada Geometry of Continued Fractions (en Inglés)

Geometry of Continued Fractions (en Inglés)

Formato

Libro Físico

Autor

Oleg N. Karpenkov

Editorial

Springer

Idioma

Inglés

N° páginas

451

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x2.4 cm

Peso

0.65 kg.

ISBN13

9783662652794

N° edición

0002

Categorías

Álgebra
Cálculo y análisis matemático

Geometry of Continued Fractions (en Inglés)

Oleg N. Karpenkov (Autor) · Springer · Tapa Blanda

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Reseña del libro "Geometry of Continued Fractions (en Inglés)"

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.