Historical Development of Group Theory - From Number Theory to Geometry
Insights into Mathematics via YouTube
Learn Excel and Financial Modeling the Way Finance Teams Actually Use Them
The Most Addictive Python and SQL Courses
Overview
Google, IBM & Meta Certificates – 40% Off
One Coursera Plus subscription covers most Professional Certificates on Coursera.
Unlock All Certificates
This introduction uses the history of group theory to show how the subject grew from number theory and the study of polynomial equations to the study of permutations and geometric symmetries. Examples include the symmetric group S₃ and the symmetry groups of the Platonic solids.
Syllabus
Group theory Introduction
Origins in Algebra - theory of equations
Euler 1758: Theorem
The numbers less than n relatively prime to n
Group properties
Theory of polynomial equations
Permutations - Levi Ben Gershon 1321
Multiplication table of S_3
Lagrange theorem's
Polyhedral groups
Taught by
Insights into Mathematics