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So this is not a book by Kolmogorov and Fomin per se, and they never titled their work “Introductory real analysis”. After that there were a third. Self-contained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced. The first four chapters present basic concepts and introductory principles in or for the classroom — it is basic one-year course in real analysis.

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As such, I am looking for one more text to tie everything together. So, I suppose my questions are as follows:. Your input will be greatly appreciated. Kolmogorov and Fomin wrote only one book. First it was published as two volumes under the name “Elements of the Theory of Functions and Functional Analysis”, in This is probably the second text you are referring to.

The first text you are talking about is the “translation” by Silverman of the second Russian edition. I write “translation”, because the translator states: As in the other volumes of this series, I have not hesitated to make a number of pedagogical and mathematical improvements that occurred to me After that there were a third and fourth editions of this classical book in Russian, with a lot of material added. If you can read Russian, I would suggest to pick the latest edition.


If not, my advice would be to choose another introductory text in analysis. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceintroducotry policy and cookie policyand that your continued use of the website is subject to these policies.

Home Oolmogorov Tags Users Unanswered. So, I suppose my questions are as follows: I self taught myself using “Introductory Real Analysis. It was only years later I learned that Kolmogorov was a super-genius.

Introductory Real Analysis – A. N. Kolmogorov, S. V. Fomin – Google Books

Also, I don’t think Rudin’s book “Real and Complex Analysis” is a good book to start learning the subject. It is a great second book. He does everything in a slightly strange way, which is great when looking at the subject the second time.

If any user of those texts browses my questions, s he can find several points that I have found quite difficult in Kolmogorov and Fomin’s “Elements of the Theory of Functions and Functional Analysis” I am currently using an Italian language translation and introductoy in the Russian original and its English translations, of which “Introductory Real Analysis” is a partial one.


Enjoy your study of such a wonderful science as analysis is! The French translation is based on the third Russian edition, which is almost identical to later editions, except for a section on the implicit function theorem introductiry in the fourth edition.

It may be the case that some of these are of later editions.

It seems that all English translations are of the first or second editions. It is puzzling that no translations of the later editions are available. Does the third Russian edition differ much from the second one? Sign up or log in Sign up using Google.

Introductory Real Analysis

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