Power, Simplicity and Beauty
I’ve just received a book named Number Theory in the Spirit of Liouville by Kenneth S. Williams. Joseph Liouville is recognised as one of the great mathematicians of the nineteenth century, …
Number Theory in the Spirit of Liouville Read MoreI’ve just received a book named Development of Elliptic Functions According to Ramanujan by K Venkatachaliengar (deceased) , edited by: ShaunCooper , Shaun Cooper This unique book provides an innovative …
Development of Elliptic Functions According to Ramanujan Read MoreConjecture There exist elliptic curve groups \(E(\Bbb Q)\) of arbitrarily large rank. 用 \(r\) 表示 \(\Bbb Q\) 上的椭圆曲线 \(E\) 的秩—the rank of the Mordell–Weil group \(E(\Bbb Q)\). 一个悬而未决的著名难题是: \(r\) 是否可以任意大? Martin-McMillen 2000 …
Manjul Bhargava, the BSD conjecture and Fields medal Read More2014 第 55 届 IMO 评注 楔子 第一次用超过一篇文章写 IMO 的解答. 前文 IMO 2014 solutions 已经很长, 不妨重新开始. 这续集不能仅仅只是解答, 希望有背景的讨论和更深入的研究. 要完成这样的目标, 我们需要查阅相关课题的研究文献, 也需要思考. 陶哲轩在 1999-2012 期间, 四个 mini-polymath discussions, 每年挑选一道当年的 IMO 试题, 供大家各抒己见. 这道题不一定是最难的(虽然常常如此), 但一定是最有 …
IMO 2014 solutions II Read More2001 年 IMO 的试题和官方解答. 仅仅是保存资料. IMO 2001
IMO 2001 Read More2006 年 IMO 的试题和官方解答. 仅仅是保存资料. IMO 2006 solutions
IMO 2006 Read More2011 年 IMO 的试题和官方解答. 仅仅是保存资料. IMO 2011 problems solutions day1 IMO 2011 problems solutions day2 还有另一个版本 2011 imo final6
IMO 2011 Read More今天重看 “肖申克的救赎(The Shawshank Redemption)”, 在 1:55:45-1:55:50 有这么一段台词: “Geology is the study of pressure and time. That’s all it takes, really. Pressure … and time.” “That and a big goddamn poster.” 这段话把 …
Pressure and time—the 20th anniversary of “The Shawshank Redemption” Read More