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Title: Elements of the Theory of Functions and Functional Analysis by A. N. Kolmogorov, S. V. Fomin ISBN: 0-486-40683-0 Publisher: Dover Pubns Pub. Date: 17 February, 1999 Format: Paperback Volumes: 1 List Price(USD): $12.95 |
Average Customer Rating: 4.78 (9 reviews)
Rating: 5
Summary: Four stars for the content, five stars for the price.
Comment: This book is not quite up-to-date, but still very good as a starting point in (functional) analysis. The virtue of Kolmogorov and Fomin is their user-friendly writing style. I am delighted to find their book being available for less than ten dollars.
Rating: 5
Summary: My math master
Comment: I am electrical eng who study math all of my life. I had the Arabic version of it which cover more than the English one.I start reading it after Krewsiq book of advance functional analysis. I really like Krewsiq because it is so easy so I cover it within 1 year but I need 2.5 year to finish off this one which is fantastic, I really can't compare it with other books, it is a school of functional analysis and master book that you can't really understand functional analysis without it.
Rating: 5
Summary: Still one of the finest.
Comment: This highly regarded book came out from the notes of Andrei Kolmogorov's lectures given at Moscow's Lomonosov University in the 1940's, and it still stands as one of the best introductions to real analysis available.
The authors introduce step by step all the key concepts needed to get a thorough understanding of the subject and proceed all the way long from set theory to Fredholm integral equations.
This book is appreciated not only because the topics it includes but mostly because of the insight with which it was written. It is a pleasure to find through every page of the book the great genious of Kolmogorov who not only mastered most areas of mathematics but who also had an almost unparalleled understanding of what the trends of future mathematics would be.
The contents are: Elements of Set Theory; Metric and Topological Spaces; Normed and Topological Linear Spaces; Linear Functionals and Linear Operators; Elements of Differential Calculus in Linear Spaces; Measure, Measurable Functions, Integral; Indefinite Lebesgue Integral, Differentiation Theory; Spaces of Summable Functions; Trigonometric Series, Fourier Transformation; Linear Integral Equations.
Full motivation and detailed explanation for each topic. Short bibliography, but that is justified by the fact that the authors themselves were involved in the development of the topics covered.
Conclusion: a must-have text for every mathematician or math student.
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Title: Introductory Real Analysis by A. N. Kolmogorov, S. V. Fomin ISBN: 0486612260 Publisher: Dover Pubns Pub. Date: 01 June, 1975 List Price(USD): $15.95 |
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Title: Functional Analysis by Frigyes Riesz, Bela Sz.-Nagy ISBN: 0486662896 Publisher: Dover Pubns Pub. Date: 01 June, 1990 List Price(USD): $16.95 |
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Title: Elementary Functional Analysis by Georgi E. Shilov ISBN: 0486689239 Publisher: Dover Pubns Pub. Date: 18 January, 1996 List Price(USD): $15.95 |
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Title: Calculus of Variations by S. V. Fomin, I. M. Gelfand ISBN: 0486414485 Publisher: Dover Pubns Pub. Date: 16 October, 2000 List Price(USD): $9.95 |
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Title: Elementary Real and Complex Analysis by Georgi E. Shilov ISBN: 0486689220 Publisher: Dover Pubns Pub. Date: 07 February, 1996 List Price(USD): $19.95 |
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