Customer Reviews

Functional Analysis (Dover Books on Mathematics)

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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.

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.