Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1311-9999-8 |
Объём: | 104 страниц |
Масса: | 178 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
High Quality Content by WIKIPEDIA articles! In mathematics, specifically in the area of hyperbolic geometry, Hilbert's arithmetic of ends is an algebraic construction introduced by German mathematician David Hilbert. Given a hyperbolic plane, Hilbert's construction yields a field with the ideal points or ends as elements of the field. (Note here that this usage of end is slightly different from that of a topological end.) In a hyperbolic plane, one can define an ideal point or end to be an equivalence class of parallel rays. The set of ends can then be topologized in a natural way and forms a circle. This is most easily seen in the Poincare disk model or Klein model of hyperbolic geometry, where every ray intersects the limit circle (also called the circle at infinity) in a unique point. One thing worthy of note is that these points are not part of the hyperbolic plane itself.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.