Oleg N Karpenkov

(Author)

Geometry of Continued Fractions (2022)Hardcover - 2022, 29 May 2022

Geometry of Continued Fractions (2022)
Qty
1
Turbo
Ships in 2 - 3 days
Only 3 left
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Algorithms and Computation in Mathematics
Print Length
451 pages
Language
English
Publisher
Springer
Date Published
29 May 2022
ISBN-10
3662652765
ISBN-13
9783662652763

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.

Product Details

Author:
Oleg N Karpenkov
Book Edition:
2022
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
29 May 2022
Dimensions:
23.39 x 15.6 x 2.54 cm
ISBN-10:
3662652765
ISBN-13:
9783662652763
Language:
English
Location:
Berlin, Heidelberg
Pages:
451
Publisher:
Weight:
834.61 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.