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Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.

Mathologer
3 人推荐 · 跨 6 个月 · 2016–2024
趣味与可视化数学纯粹数学
Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.

中文导读

Mathologer 从 Ramanujan 1913 年写给 Hardy 的信件切入,抽丝剥茧地解析著名的 1+2+3+... = -1/12 究竟是怎么来的,明晰无穷级数求和规则,澄清该结果在现代物理中的数学意义,打破粗暴朴素求和的认知误区。

为什么 HN 推它

HN 强烈推荐的良心数学科普,对 -1/12 命题给出了严谨诚实的推导与界定,远胜各路博眼球的浮躁讲解。

「只要你能抽得出来半小时,我强烈建议把它看完。」HN 网友原话:If you have half an hour to spare, I highly recommend to watch
英文原摘要(HackerTube / Claude 整理)

Mathologer examines how identities like 1+2+3+... = -1/12 arise in Ramanujan's work, starting from his 1913 letter to Hardy. The video explains the rules for summing infinite series and why such results are meaningful but not naive sums.

Recommended as a careful, honest treatment of the -1/12 claim, often preferred over flashier videos.

HN 上的提及

reference CarolineW · 2016-07 · HN 原文
Perhaps this is the video you intended
critical heimatau · 2016-09 · HN 原文
He is self taught but...he was wrong
strong_rec gus_massa · 2019-08 · HN 原文
If you have half an hour to spare, I highly recommend to watch
rec stan_rogers · 2020-02 · HN 原文
Burkard Polster's (Mathologer) videos on the subject are probably going to be more useful than Numberphile.
rec gus_massa · 2020-11 · HN 原文
A very nice explanation of the proof is in a video by Mathologer

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