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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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jmanton.wordpress.com
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| | | | | The following hints atwhy the quintic equation cannot be solved using radicals. It follows the approach in the first part of Ian Stewart's book "Galois Theory". If time permits, a future post will summarise the approach in V. B. Alekseev's book "Abel's Theorem in Problems and Solutions". Another candidate is Klein's book "Lectures on the... | |
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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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adriano.fyi
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| | | Hey all, just a quick post about di-tui, my new di.fm terminal UI player. I've been playing hours of music with this player over the past two weeks and have to say that I really love it and am proud of its ease of use and simplicity. Most people who know me know that I work almost exclusively in the terminal: tmux, mutt, slack-term, vim, and now di-tui and many more. Now I finally have great music in the terminal! | ||
