Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3) First Edition
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"We are all fortunate that a mathematician with the experience and vision of E.M. Stein, together with his energetic young collaborator R. Shakarchi, has given us this series of four books on analysis."---Steven George Krantz, Mathematical Reviews
"As one would expect from these authors, the exposition is, in general, excellent. The explanations are clear and concise with many well-focused examples as well as an abundance of exercises, covering the full range of difficulty. . . . [I]t certainly must be on the instructor's bookshelf as a first-rate reference book."---William P. Ziemer, SIAM Review
"Elias M. Stein, Winner of the 2005 Stefan Bergman Prize, American Mathematical Society"
About the Author
- ASIN : 0691113866
- Publisher : Princeton University Press; First Edition (April 3, 2005)
- Language : English
- Hardcover : 424 pages
- ISBN-10 : 9780691113869
- ISBN-13 : 978-0691113869
- Item Weight : 1.56 pounds
- Dimensions : 6.5 x 1.25 x 9.25 inches
- Best Sellers Rank: #118,871 in Books (See Top 100 in Books)
- Customer Reviews:
Top reviews from the United States
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This gives a very quick introduction of Lebesgue measure & integration and differentiation theory. The rest is applications.
Real Analysis by Royden & Fitzpatrick has a more thorough introduction to not just Lebesgue but also abstract measure theory. It also has more topics leading to functional analysis.
The book was in good condition.
The books begins by defining what a "measure" is all about. And the description is so intuitive and geometrical that you would wonder why you weren't taught it this way before. The book then goes into Lebesgue theory and all of it suddenly becomes so easy.
The book has plenty of wonderful examples and a good set of over 30 problems per chapter.
Elias Stein (one of the authors) is a very renowned mathematician, and one need not worry about the accuracy of the proofs in the book--they are "bullet-proof", and at the same time succinct.
If you are struggling with W. Rudin's book on Analysis, this book is a MUST for you.
I taken a course in Analysis before and decided to read this book just to review and to study the subject through a different perspective.