Ian Stewart 的《Galois Theory》确实是本极好的书!我家就放着一本纸质书,目前正在一页一页慢慢啃。我打算今年晚些时候用这本书组织读书会线下交流,……
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,…
…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…
太巧了!就在几分钟前,我刚读完 Ian Stewart 的《Galois Theory》第 5 版第 20 章(“正多边形”)。书中严格证明了为什么可以用无刻度直尺和圆规作出正 65537 边形。事实上,这本书证明了一个更一般的结论。首先,……
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…
我是从 Ian Stewart 的《Galois Theory》(第 5 版)这本书学到这门学科的。引用第 177 页:定理 15.10。在 ℚ 上的多项式 t⁵ - 6t + 3 不能用根号求解。如你所见,这个定理出现在第 15 章。所以它花了整整十四章……
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…
……我不是数学家,但出于个人兴趣,我过去曾与专业数学家合作过,帮忙完善解释教科书中某些中间步骤的笔记(比如 Stewart 的《Galois Theory》里的一个具体例子)。我惊讶地发现,觉得某些证明的中间步骤晦涩难懂的并不只有我一个人。就连专门学过这门学科的专业数学家……
…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…
也许可以看看教材,比如 Armstrong 的《Topology》,或者 Ian Stewart 的《Galois Theory》。
Maybe a textbook like Topology by Armstrong, or Galois Theory by Ian Stewart.
Ian Stewart 的《Galois Theory》确实是本极好的书!我家就放着一本纸质书,目前正在一页一页慢慢啃。我打算今年晚些时候用这本书组织读书会线下交流,……
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,…
…Theory》(Apostol,1976 年版),第二个是关于《Mastering Emacs》(Petersen,2022 年版)。会议记录、细节等都在这里:https://susam.net/cc/ 我打算很快再开一个关于《Galois Theory》(Stewart,2015 年版)的。我正等着精装书寄到呢!如果你对这类活动感兴趣,非常欢迎加入我们在 IRC 频道或者 Matrix 房间的讨论……
…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…
太巧了!就在几分钟前,我刚读完 Ian Stewart 的《Galois Theory》第 5 版第 20 章(“正多边形”)。书中严格证明了为什么可以用无刻度直尺和圆规作出正 65537 边形。事实上,这本书证明了一个更一般的结论。首先,……
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…
我是从 Ian Stewart 的《Galois Theory》(第 5 版)这本书学到这门学科的。引用第 177 页:定理 15.10。在 ℚ 上的多项式 t⁵ - 6t + 3 不能用根号求解。如你所见,这个定理出现在第 15 章。所以它花了整整十四章……
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…
……我不是数学家,但出于个人兴趣,我过去曾与专业数学家合作过,帮忙完善解释教科书中某些中间步骤的笔记(比如 Stewart 的《Galois Theory》里的一个具体例子)。我惊讶地发现,觉得某些证明的中间步骤晦涩难懂的并不只有我一个人。就连专门学过这门学科的专业数学家……
…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…