Sobolev Spaces, Second Edition (Pure and Applied Mathematics, Volume 140)

Rating:
Summary: very interesting
Review: A very interesting textbook for people interested in functional analysis. It provides a great introduction for beginners but also clear and rigorous demonstrations of more technical points.

Rating:
Summary: An invaluable resource
Review: As a PhD student in mathematics focusing on theoretical PDE, I find this monograph to be one of the most useful in my collect. The book is self contained and very easy to read, requiring only a background in real analysis at the beginning graduate/senior undergrad level. This text covers a wide range of topics from the basics of topological vector spaces, all the way through interpolation methods and Besov spaces, but maintains a deep enough level so that most researchers will find this book to be very useful as a reference for the subject. In particular, I really like the completeness by which the imbedding theorems in the book are stated and proved. In addition to the content, the book is also beautifully bound and is printed on very high quality paper.

Rating:
Summary: highly recommended
Review: I highly recommend this book. It is a valuable reference and a great introduction to sobolev spaces for people interested in functional analysis.