» Elements of the Theory of Functions and Functional Analysis

Elements of the Theory of Functions and Functional Analysis Reviews

Customer Rating:
Summary: Can't get any better than this
Comment: There are 2 parts in this book. Matrix spaces etc are discussed in one and the second part covers topics like Lebesgue integration. After looking through some other text books, I have to say that this is probably the best book I read. I finally understand the topic very well. Also another important thing I like is the way proofs are written. If you have a class to follow, then this book is the perfect combination. If you have read the basics elsewhere that can also help. But overall it is very well written

---

Customer Rating:
Summary: Excellent book, good price
Comment: A concise, well-readable book for as much money as every textbook should cost. There's only one problem I found, but I wouldn't take a star for it, because the book is really very good: since the book is quite old, the nomenclature is very different from the current one. (Eg. the empty set is called ``void set'', Cauchy sequences is called ``fundamental sequences'', etc.) One should always look up the ``up-to-date'' name of every important concept that is introduced in the book.

---

Customer Rating:
Summary: Better than his fabulous Real Analysis book
Comment: This book is better than his fabulous Real Analysis book. It is one of the best, if not THE best, functional analysis book out there and the price is low. Quality to price ratio is approaching infinity here (as Dover reduces the price more)!!!

Kolmogorov knows how to arrange topics and introduce them at the proper spots throughout the book. Everything is broken down into bite sized pieces and you are given enough examples to digest what's going on. Reading the book is like reading Kolmogorov's mind, as he has tried to teach HOW TO THINK about the material, not just DO IT. It's also very addictive, even though it's rigorous.

Name a better functional analysis book? Not sure if that's possible.

---

Customer Rating:
Summary: It's a classic
Comment: I own the book in Spanish language. Some content in the book is not easy stuff, if you study by others books, but Kolmogorov has the gift to make easy things that aren't quite so easy. Perhaps some theory is "old", because all the new books use some diferent approach to the subject, like the chapter dedicated to the Lebesgue integral, the book give the definition of a simple function in a different manner that we use today. The book is a must to have in your library, when you need to work with Functional Analysis.

---

Customer Rating:
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.

---

More Reviews for Elements of the Theory of Functions and Functional Analysis