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jaydaigle.net | ||
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www.jeremykun.com
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| | | | | Finding solutions to systems of polynomial equations is one of the oldest and deepest problems in all of mathematics. This is broadly the domain of algebraic geometry, and mathematicians wield some of the most sophisticated and abstract tools available to attack these problems. The elliptic curve straddles the elementary and advanced mathematical worlds in an interesting way. On one hand, it's easy to describe in elementary terms: it's the set of solutions to a cubic function of two variables. | |
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mathenchant.wordpress.com
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| | | | | There's a pretty thought experiment that's sometimes attributed to Democritus though it's actually due to a later popularizer of the atomic hypothesis1 and it goes like this: Suppose we use the world's sharpest knife to cut a block of cheese in half, leaving two small blocks where before there was one large one. If cheese... | |
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mattbaker.blog
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| | | | | In honor of Pi Day 2023, I'd like to discuss Hilbert's 7th Problem, which in an oversimplified (and rather vague) form asks: under what circumstances can a transcendental function take algebraic values at algebraic points? The connection with $latex \pi$ is that Lindemann proved in 1882 that the transcendental function $latex f(z) = e^z$ takes... | |
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chava61photography.photo.blog
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