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Galois Theory Explained Simply 3 года назад


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Galois Theory Explained Simply

To learn more about various areas of Group Theory: https://en.wikipedia.org/wiki/Group_t... Galois Theory article in Encyclopedia of Mathematics: https://encyclopediaofmath.org/wiki/G.... [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:    / lexfridman  ) To learn more about mathematicians that made a substantial contribution to Galois Theory: Evariste Galois (https://en.wikipedia.org/wiki/%C3%89v...) Niels Abel (https://en.wikipedia.org/wiki/Niels_H...) Joseph-Lois Lagrange (https://en.wikipedia.org/wiki/Joseph-...) Paolo Ruffini (https://en.wikipedia.org/wiki/Paolo_R...) Do not stop exploring!

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