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Functional Analysis (Dover Books on Mathematics)
 
 
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Functional Analysis (Dover Books on Mathematics) [Paperback]

Frigyes Riesz (Author), Bela Sz.-Nagy (Author)
4.5 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

0486662896 978-0486662893 June 1, 1990
Classic exposition of modern theories of differentiation and integration and the principal problems and methods of handling integral equations and linear functionals and transformations. Topics include Lebesque and Stieltjes integrals, Hilbert and Banach spaces, self-adjunct transformations, spectral theories for linear transformations of general type, more. Translated from 2nd French edition by Leo F. Boron. 1955 edition. Bibliography.

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Language Notes

Text: English (translation)
Original Language: French

Product Details

  • Paperback: 528 pages
  • Publisher: Dover Publications (June 1, 1990)
  • Language: English
  • ISBN-10: 0486662896
  • ISBN-13: 978-0486662893
  • Product Dimensions: 8.2 x 5.7 x 1 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #188,458 in Books (See Top 100 in Books)

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33 of 33 people found the following review helpful:
5.0 out of 5 stars Very readable classic, June 22, 2000
By A Customer
This review is from: Functional Analysis (Dover Books on Mathematics) (Paperback)
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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17 of 33 people found the following review helpful:
4.0 out of 5 stars The standard work, but there are better, November 8, 2000
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This review is from: Functional Analysis (Dover Books on Mathematics) (Paperback)
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.
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