Geometry of Continued Fractions
Produktnummer:
18a7ee48848c9d4b45b00e6b65c8e80bbf
Autor: | Karpenkov, Oleg |
---|---|
Themengebiete: | algebraic irrationalities continued fractions generalized continued fractions integer trigonometry units of orders |
Veröffentlichungsdatum: | 23.08.2013 |
EAN: | 9783642393679 |
Sprache: | Englisch |
Seitenzahl: | 405 |
Produktart: | Gebunden |
Verlag: | Springer Berlin |
Produktinformationen "Geometry of Continued Fractions"
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. 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 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.

Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen