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You are here		jaydaigle.net A Fictional History of Numbers, Part 4: Imagination, Complexity, and the Fundamental Theorem of Algebra
\|	\|	mattbaker.blog Algebraic Values of Transcendental Functions at Algebraic Points \| Matt Baker's Math Blog	3.3 parsecs away Travel
\|	\|	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...	3.3 parsecs away Travel
\|	\|	jmanton.wordpress.com A Snippet of Galois Theory \| Jonathan Manton's Blog	2.2 parsecs away Travel
\|	\|	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...	2.2 parsecs away Travel
\|	\|	alok.github.io Derivative AT a Discontinuity - Every Man a Debtor	2.5 parsecs away Travel
\|	\|	Alok Singh's Blog	2.5 parsecs away Travel
\|	\|	paperswithcode.com Trending Papers - Hugging Face	33.9 parsecs away Travel
\|		Your daily dose of AI research from AK	33.9 parsecs away Travel