
对称性与魔群
Symmetry and the Monster
Mark Ronan · 初版 2006 年
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数学的推进,始终源于对解决少数几个重大难题的不懈求索——其中最著名的四大挑战分别是Fermat's Last Theorem、the Riemann Hypothesis、Poincaré's Conjecture,以及追寻对称性‘Monster’的探索。如今,在一场跨越两个世纪、跌宕起伏且节奏紧凑的历史叙事中,Mark Ronan带领我们踏上了这场终极数学求索的心潮澎湃之旅。Ronan讲述了理解对称性的探索究竟是如何始于英年早逝的天才Evariste Galois的,他在年仅20岁时便因决斗身亡。Galois在赴死前夜近乎疯狂地
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……单群是如何随着时间推移被一步步“发现”的(先是主要群族,然后是各个新的散在单群,最后证明确实所有单群都已被找到),我强烈推荐读读这本书:Mark Ronan 写的《Symmetry and the Monster》。与其说它是关于数学的,不如说是关于这场探索背后的历史,整个过程耗费了大约 50 年才宣告完成。
…simple groups was "discovered" over time (the main families, then each new sporadic group, and finally proving that all of them have indeed been found), I strongly recommend reading the following book: Symmetry and the Monster, by Mark Ronan. It's not so much about the math than the history behind the quest, with took about 50 years to be completed.
……差不多。我希望它的篇幅能翻倍,而且在制作电子书时校对能更用心一点。关于魔群(Monster group)这个话题,我读过一本相关的纯科普书叫《Symmetry and the Monster》。它和《Fearless Symmetry》(讲伽罗瓦理论的)相比完全处在两个极端。作为休闲读物很不错 [3],但别指望能获得太硬核的见解。我真的很希望能有……
…mark. I wish it was twice the length and with more care to the proofing during the ebook creation. On the topic of the Monster group, there was a very much pop-math book about it that I read called "Symmetry and the Monster". It's at the total opposite end of the spectrum compared to Fearless Symmetry (which deals with Galois theory). It's a good casual read [3] but don't expect deep insight. I would really love if there…