《实分析导论》封面

实分析导论

Introductory real analysis

Andrei Nikolaevich Kolmogorov · 初版 1970 年

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Hacker News 上怎么说

  • Dover 出版社出过一本柯尔莫哥洛夫和佛敏(Kolmogorov & Fomin)写的《实分析导论》(Introductory Real Analysis)。这是理查德·西尔弗曼(Richard Silverman)从俄文翻译过来的版本之一。书里有几个笔误,文风也稍微有点老派,但里面的数学内容梳理得极漂亮……

    There's a Dover book called "Introductory Real Analysis" by Kolmogorov & Fomin. It's one of Richard Silverman's translations from the Russian. It's got a few typos in it and the feel is a little old-timey, but the mathematical content is beautifully laid…

  • 我和不止一个靠通读柯尔莫哥洛夫与佛敏的《实分析导论》才在实分析课上全身而退的人聊过。Dover 出过一个版本,你大概花个12美元就能买到二手……当年我就是从这本书起步的,而且我知道好几个人在被其他教材折磨得死去活来之后,发现这本书简直救了大命。……

    I've spoken with more than one person who made it through Real Analysis intact by reading through "Introductory Real Analysis" by Kolmogorov and Fomin. There's a Dover version that you can probably find for $12 used... It was where I started, but I know several people who found it invaluable after struggling with other texts.…

  • 柯尔莫哥洛夫与佛敏:《实分析导论》。不过不太适合中小学生看。

    Kolmogorov - Fomin: Introductory Real Analysis. Not for school kids though.

  • 我没对比过,但你可以自己去核实一下——https://github.com/nika-skybytska/fa/tree/master/books 上面有一份大家熟知的柯尔莫哥洛夫/佛敏原著,可以拿它跟 Internet Archive 上那本西尔弗曼英译的《实分析导论》对比一下。粗略扫一眼各自的目录就会发现内容顺序被打乱了。前几章还能对得上,后面就差别很大了。

    I have not, but you can verify for yourself - https://github.com/nika-skybytska/fa/tree/master/books has a copy of Komogorov/Fomin's text that's well known vs Introductory Real Analysis in his translation available on the Internet Archive. A cursory glance at the respective TOCs shows that there is reordering. First couple of chapters match up, then it diverges heavily.

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