Introductory real analysis
by Andrei Nikolaevich Kolmogorov · first published 1970
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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…
on “Ask HN: Resources to learn real analysis?” ↗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.…
on “Ask HN: Resources to learn real analysis?” ↗Kolmogorov - Fomin: Introductory Real Analysis. Not for school kids though.
on “American parents are sending their kids to 'Russian math' (2017)” ↗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.
on “Dostoyevsky Isn't Difficult” ↗