Autor: | Oleg N. Karpenkov |
Lehekülgede arv: | 451 |
Ilmumisaasta: | 2022 |
Kauba ID: | 19770028 |
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.
Kauba ID: | 19770028 |
Kategooria: | Majandusalased raamatud |
Tootepakendite arv: | 1 tk. |
Paki suurus ja kaal (1): | 0,3 x 0,3 x 0,1 m, 0,2 kg |
Kirjastus: | Springer-Verlag Berlin and Heidelberg GmbH & Co. KG |
Raamatu keel: | Inglise keel |
Tüüp: | Majandusteadus |
Autor: | Oleg N. Karpenkov |
Lehekülgede arv: | 451 |
Ilmumisaasta: | 2022 |
Toodete pildid on illustratiivsed ja näitlikud. Tootekirjelduses sisalduvad videolingid on ainult informatiivsetel eesmärkidel, seega võib neis sisalduv teave erineda tootest endast. Värvid, märkused, parameetrid, mõõtmed, suurused, funktsioonid, ja / või originaaltoodete muud omadused võivad nende tegelikust väljanägemisest erineda, seega palun tutvuge tootekirjeldustes toodud tootespetsifikatsioonidega.