Overview

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.

Full Product Details

9786131199998

Table of Contents

Reviews

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available