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…
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.…
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.
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.