Geometry of Continued Fractions Paperback / softback
by Oleg N. Karpenkov
Part of the Algorithms and Computation in Mathematics series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:451 pages, 69 Illustrations, black and white; XX, 451 p. 69 illus.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:30/05/2023
- Category:
- ISBN:9783662652794
Other Formats
- Hardback from £54.75
- PDF from £38.24
Information
-
Out of stock
- Format:Paperback / softback
- Pages:451 pages, 69 Illustrations, black and white; XX, 451 p. 69 illus.
- Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Publication Date:30/05/2023
- Category:
- ISBN:9783662652794
