Abstract

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.

Advisor

Hartman, James

Second Advisor

Wang, Rujie

Department

Chinese Studies; Mathematics

Disciplines

Chinese Studies | Geometry and Topology

Keywords

hyperbolic geometry, modern geometry, erlanger programm, elliptic geometry, mobius geometry

Publication Date

2013

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis

Share

COinS
 

© Copyright 2013 Ashley Stopka