- Tapa dura: 424 páginas
- Editor: Springer; Edición: 1990. Corr. 4th (25 de enero de 1994)
- Colección: Graduate Texts in Mathematics
- Idioma: Inglés
- ISBN-10: 0387972455
- ISBN-13: 978-3540960423
- Valoración media de los clientes: Sé el primero en opinar sobre este producto
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A Course in Functional Analysis (Graduate Texts in Mathematics) (Inglés) Tapa dura – 25 ene 1994
Descripción del producto
A Course in Functional Analysis
"This book is an excellent text for a first graduate course in functional analysis . . . Many interesting and important applications are included . . . This book is a fine piece of work. It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author."
From the reviews of the second edition:
“This book should be in the library of anyone teaching functional analysis or who wants a working mathematician’s masterfully developed course on functional analysis … . This book is a comprehensive introduction to functional analysis. … I definitely recommend this book to anyone who really want/need to learn true functional analysis for graduate work.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, October, 2013)
Reseña del editor
This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general.
From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWSVer Descripción del producto
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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.
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.
This book has as it's high point and goal the spectral theorem for normal operators. I add this because no one book can be all encompassing. If this and the spectral theorem goal are kept in mind, the omissions and emphasis found in the book will be found to be completely natural.
This book should be in the library of anyone teaching functional analysis or who wants a working mathematician's masterfully developed course on functional analysis (with an eye to the spectral theorem for normal operators).