The purpose of this paper is to research modern geometries and introduce Felix Klein's Erlanger Programm. It gives an overview of the Erlanger Programm approach to studying geoemtry using Euclidean Geometry, then introduces some modern geometries. These geometries include: hyperbolic geometry, elliptic geometry and Mobius geometry.
Chinese Studies; Mathematics
Stopka, Ashley, "A Study of Modern Geometries and Felix Klein's Erlanger Programm" (2013). Senior Independent Study Theses. Paper 2.
Chinese Studies | Geometry and Topology
hyperbolic geometry, modern geometry, erlanger programm, elliptic geometry, mobius geometry
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2013 Ashley Stopka