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Geometry of Continued Fractions
Engelsk
Bogcover for Geometry of Continued Fractions af Oleg N. Karpenkov, 9783662652763
Specifikationer
Sprog:
Engelsk
Sider:
451
ISBN-13:
9783662652763
Indbinding:
Hardback
ISBN-10:
3662652765
Udg. Dato:
29 maj 2022
Størrelse i cm:
16,0 x 24,0 x 3,4
Oplagsdato:
29 maj 2022
Forfatter(e):

Geometry of Continued Fractions

Engelsk
Hardback 2022
Format:

Bog beskrivelse

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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Specifikationer
Sprog:
Engelsk
Sider:
451
ISBN-13:
9783662652763
Indbinding:
Hardback
ISBN-10:
3662652765
Udg. Dato:
29 maj 2022
Størrelse i cm:
16,0 x 24,0 x 3,4
Oplagsdato:
29 maj 2022
Forfatter(e):
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