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Title: Functional Analysis by Frigyes Riesz, Bela Sz.-Nagy ISBN: 0-486-66289-6 Publisher: Dover Pubns Pub. Date: 01 June, 1990 Format: Paperback Volumes: 1 List Price(USD): $16.95 |
Average Customer Rating: 4.5 (2 reviews)
Rating: 4
Summary: The standard work, but there are better
Comment: This is the "standard" book on the subject. It is referenced everywhere. It has a lot in it. I have not read it cover to cover, just used it for reference, but if you are new to the subject I think Kolmogorov and Fomin looks beeter, and Shilov's books look better too.
Rating: 5
Summary: Very readable classic
Comment: This book is a bargain ... in these days of $100 paperbacks ! The foreign authors, who 1st published this in the early 50s, write in a very readable way as opposed to most US profs. The book starts with an example of a continuous function which is not differentiable and then proves Lebesgue's theorem which tells you when a function does have a derivative. The 2nd part of the book is about Integral equations which again starts with some examples of problems the early 19th century mathematicians solved. Particularly interesting to me was Fredholm's method which was to replace the integral with a series. The book covers all the topics you would expect in a very readable form.
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Title: Elements of the Theory of Functions and Functional Analysis by A. N. Kolmogorov, S. V. Fomin ISBN: 0486406830 Publisher: Dover Pubns Pub. Date: 17 February, 1999 List Price(USD): $12.95 |
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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: 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: Theory of Linear Operators in Hilbert Space by N. I. Akhiezer, I. M. Glazman ISBN: 0486677486 Publisher: Dover Pubns Pub. Date: 16 December, 1993 List Price(USD): $14.95 |
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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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