Galois theory
by Ian Stewart · first published 1973
6mentions
2recommended by
2HN commenters
2020–2026first – last mentioned
100% recommend
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Maybe a textbook like Topology by Armstrong, or Galois Theory by Ian Stewart.
on “Ask HN: Recommend a maths book for a teenager?” ↗Galois Theory by Ian Stewart is an excellent book indeed! I've got a hard copy lying at home that I am currently reading slowly page by page. I am planning to host book club meetups with this book later this year,…
on “Galois Theory” ↗…Theory (Apostol, 1976) and the second one was for Mastering Emacs (Petersen, 2022). I have the meeting logs, details, etc. for them available here: https://susam.net/cc/ I plan to begin one more on Galois Theory (Stewart, 2015) quite soon. I am just waiting for the hardcover book to arrive! If this type of thing interests you, I'd love for you to join the discussion either in the IRC channel or the Matrix room…
on “Learn in Public (2018)” ↗What a coincidence! Just a few minutes ago, I finished reading Chapter 20 ("Regular Polygons") from the book Galois Theory, 5th ed. by Ian Stewart. It presents a rigorous proof of why the regular 65537-gon can be constructed with an unmarked ruler and compass. In fact, the book proves a more general result. Firstly, the…
on “65537-gon” ↗I learnt this subject from the book Galois Theory, 5th ed. by Ian Stewart. Quoting from page 177: Theorem 15.10. The polynomial t⁵ - 6t + 3 over ℚ is not soluble by radicals. As you can see, this theorem occurs in Chapter 15. So it takes fourteen chapters…
on “There is No Quintic Formula [video]” ↗…am not a mathematician, but out of personal interest, I have worked with professional mathematicians in the past to help refine notes that explain certain intermediate steps in textbooks (for example, Galois Theory, by Stewart, in a specific case). I was surprised to find that it was not just me who found the intermediate steps of certain proofs obscure. Even professional mathematicians who had studied the subject…
on “What's a Mathematician to Do?” ↗