Latest / Deep End Era. Engineering with Sankalp
The Formula That Cannot Exist: Galois Theory and the Quintic
A sixth-form student asks where the formula for the fifth power is, and her teacher decides to give her the real answer. Episode one hundred and thirty five follows the quest for formulas from Babylon and Baghdad through the secret contests of Renaissance Italy to a twenty-year-old revolutionary shot in a Paris duel in 1832. With no notation and every step said in words, we see how taking a square root breaks a symmetry, how the shuffles of an equation's roots form a group, and why the hundred and twenty shuffles of five roots contain a welded block of sixty that no root can break. Then we…
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