Übersicht			Auf mobile öffnen

Lieferstatus:	i.d.R. innert 7-14 Tagen versandfertig
Genre:	Schulbücher
ISBN:	9783662652763
EAN-Code:	9783662652763
Verlag:	Springer Berlin Heidelberg
Einband:	Gebunden
Sprache:	English
Dimensionen:	H 241 mm / B 160 mm / D 31 mm
Gewicht:	869 gr
Seiten:	472
Zus. Info:	HC runder Rücken kaschiert
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.