Lectures on Rings: Galois Theory

AI Thread Summary
Recent lectures on rings have provided significant clarity and insights into Galois Theory, enhancing understanding of abstract algebra concepts. A specific resource highlighted is a Harvard course on abstract algebra led by Benedict Gross, which has proven to be particularly beneficial. The discussion emphasizes the value of these educational materials in deepening knowledge and fostering further exploration of the subject. Participants express gratitude for discovering such resources that were previously unknown. Overall, these lectures are regarded as a valuable tool for anyone interested in advancing their understanding of Galois Theory and related topics.
Tenshou
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I just recently found a brilliant lectures on rings which cleared so many thing up, and opened a whole deal, or prime Ideal(lol) of insights for me, But for now I will work and develop those insights and for the mean time I wish to show you these video, and hope you find it interesting.
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I just want to thank you guys for the insights and revelations here! Truly, I didn't have any idea whatsoever that there were these resources available...
 
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Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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