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Historical Development of Group Theory - From Number Theory to Geometry

Insights into Mathematics via YouTube

Overview

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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

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