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

Robert A. Adams (Author), John J. F. Fournier (Author)

Book Description

ISBN-10: 0120441438 | ISBN-13: 978-0120441433 | Publication Date: July 15, 2003 | Edition: 2

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences.

This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged: Sobolev Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.

* Self-contained and accessible for readers in other disciplines.
* Written at elementary level making it accessible to graduate students.

Editorial Reviews

Review

"This book can be highly recommended to every reader interested in functional analysis and its applications" MathSciNet on Sobolev Spaces First Edition

Book Description

Now in its second edition, this highly successful reference text is updated to include recent developments in the theory of spaces. Sobolev Spaces has been chosen to re-launch the famous AP Pure and Applied Mathematics Series.

See all Editorial Reviews

Product Details

• Hardcover: 320 pages
• Publisher: Academic Press; 2 edition (July 15, 2003)
• Language: English
• ISBN-10: 0120441438
• ISBN-13: 978-0120441433
• Product Dimensions: 8.9 x 6.1 x 0.7 inches
• Shipping Weight: 1.4 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (4 customer reviews)
• Amazon Best Sellers Rank: #459,074 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

16 of 17 people found the following review helpful:

5.0 out of 5 stars An invaluable resource, August 18, 2003

By A Customer

This review is from: Sobolev Spaces, Volume 140, Second Edition (Pure and Applied Mathematics) (Hardcover)

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.

4 of 9 people found the following review helpful:

5.0 out of 5 stars highly recommended, July 14, 2003

By 

Andre O'nyme (Belgium) - See all my reviews

This review is from: Sobolev Spaces, Volume 140, Second Edition (Pure and Applied Mathematics) (Hardcover)

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

4 of 9 people found the following review helpful:

5.0 out of 5 stars very interesting, July 18, 2003

By 

Andre O'nyme (Belgium) - See all my reviews

This review is from: Sobolev Spaces, Volume 140, Second Edition (Pure and Applied Mathematics) (Hardcover)

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.