A Relationship between Geometry and Algebra

Details A Relationship between Geometry and Algebra A Relationship between Geometry and Algebra

2011-11-04

arxiv.org/abs/1111.1606v1

Mathematics

History and Overview

In spanish

Scientific paper

The three key documents for study geometry are: 1) "The Elements" of Euclid, 2) the lecture by B. Riemann at G\"ottingen in 1854 entitled "\"Uber die Hypothesen welche der Geometrie zu Grunde liegen" (On the hypotheses which underlie geometry) and 3) the "Erlangen Program", a document written by F. Klein (1872) on his income as professor at the Faculty of Philosophy and the Senate of the Erlangen University. The latter document F. Klein introduces the concept of group as a tool to study geometry. The concept of a group of transformations of space was known at the time. The purpose of this informative paper is to show a relationship between geometry and algebra through an example, the projective plane. Erlangen program until today continues being a guideline of how to study geometry.

Affiliated with

Also associated with

No associations

Rating

A Relationship between Geometry and Algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Relationship between Geometry and Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Relationship between Geometry and Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-101896