A Course in Functional Analysis (Graduate Texts in Mathematics, 96)

Got my book three days after placing my order. And the condition of book is pretty good, just as described.

The book is ok. Not really self contained.

The only reason for 4 stars instead of 5 is that I am not a great fan of Conway's style, and have wasted too much time on mangled examples in his Complex Analysis. That said, the layout here is superb, and the choice of topics just what is needed to get one of the ground. Beginners will find it useful to have a copy of Kreyszig at hand.

Great book!

Nice book and like new

This book is a comprehensive introduction to functional analysis. The style is very formal and rigorous (as it have to be) and you need to have a good background in measure theory and general topology (as it is mentioned in the introduction), chapters 1-4 & 6 of Folland's real analysis book would be more than enough. I think this background is necessary to fully appreciate this excellent book otherwise this book can be difficult and challenging. Do not forget that this book is designed to be used in grad courses. I definitely recommend this book to anyone who really want/need to learn true functional analysis for graduate work. Through its eleven chapters J. Conway masterfully wrote a beautiful exposition of this core subject. Personally I have never been a follower of Rudin's books, I always have been able to find a substitute for every Rudin's book that match better my taste, and in this case Conway's functional analysis book is undoubtedly my choice. I consider that students interested in operator theory/algebras would appreciate this book even more, you can feel the operator taste throughout the book. Some negative remarks? well I think that the last chapter on Fredholm theory is a bit obscure, it can be largely improved, I would recommend chapter 1 of Gerald Murphy's book C*-algebras and operator theory for a cleaner and more meaningful exposition of Fredholm operators/index.

I'm learning functional analysis from this book and it's absolutely wonderful. Clear, comprehensive, starts essentially from scratch (it assumes measure theory and linear algebra but nothing else) and deals in detail with what I think is a beautiful subject, the spectral theory of linear operators.

Like many books on functional analysis, much of the space in this book is used for the spectral theorem. I am interested in function spaces and the correspondence between functional analysis and measure theory. Chapters IV and V of this book give a self-contained development of locally convex spaces and weak topologies on them and their dual spaces. Unlike many introductory books, Conway spells out the notion of a strict inductive limit of locally convex spaces, which is the only systematic way of talking about test functions and distributions. Chapter V, on weak topologies, is excellent, and proves, for example, the Banach-Alaoglu theorem, the Krein-Milman theorem, and proves (following de Branges) the Stone-Weierstrass theorem using the Krein-Milman theorem, although it does not prove the Eberlein-Smulian theorem, for which see Robert E. Megginson, ``An Introduction to Banach Space Theory''.

Conway's A Course in Functional Analysis is a graduate level textbook in functional analysis. The exposition is a bit dense, and is demanding, but rewards are plenty. In fact, the first few chapters move much faster. You see a lot of applications included, especially the Stone-Cech compactification et cetera. Exercises at the end of each section helps you realize understanding of the content. Appendices cover some of the topics assumed to be known, but are not in mainstream functional analysis.

Perfect condition and on time. The autor present himself

I haven't read the book thoroughly (when I took the FA course at the university, my professor used another book as the official textbook of the course). Nevertheless, I read parts of this book on demand when I wanted more information and details or more clarity. I think Conway is a solid choice on the subject particularly for FA courses that are oriented towards operator theory and operator algebras. For FA courses that are oriented towards applications to PDE, or non-linear FA, Brezis is a better choice, IMO. Both are good choices.

Chegou na minha casa com uma das folhas solta. O livro em si, é excelente.

Nice