Galois Theory Explained Simply

Video Description

To learn more about various areas of Group Theory: https://en.wikipedia.org/wiki/Group_theory Galois Theory article in Encyclopedia of Mathematics: https://encyclopediaofmath.org/wiki/Galois_theory. [Note: as it has been correctly pointed out by MasterHigure, the dials at 8:10 should have 4 and 6 edges (as opposed to 5 and 7, respectively). That is because of each of the factor polynomials being reducible and having 1 as a common root.] Some ideas in this video where inspired by Dan Goodman’s article “An Introduction to Galois Theory”: https://nrich.maths.org/1422. The “trousers” metaphor was based on similar analogy provided by Eric Weinstein in one of Lex Friedman’s podcasts. (This and many other interesting episodes can be found at: https://www.youtube.com/c/lexfridman/) To learn more about mathematicians that made a substantial contribution to Galois Theory: Evariste Galois (https://en.wikipedia.org/wiki/%C3%89variste_Galois) Niels Abel (https://en.wikipedia.org/wiki/Niels_Henrik_Abel) Joseph-Lois Lagrange (https://en.wikipedia.org/wiki/Joseph-Louis_Lagrange) Paolo Ruffini (https://en.wikipedia.org/wiki/Paolo_Ruffini) Do not stop exploring!