Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3)(International Edition) by Elias M. Stein

Princeton Lectures in Analysis #3

by Elias M. Stein, Rami Shakarchi

Paperback edition published in Asia. This book is completely in English with exactly the same contents as the original edition.

Genres: Mathematics, Textbooks, Science, Nonfiction, Technical, Reference

424 pages, Paperback

First published March 14, 2005

Reviews

[Jacob · Rating 4 out of 5]

This book is a much more pleasant and approachable introduction to Measure theory than the usual grad school texts (Rudin, Royden, etc.) The description is clear and detailed, and there are plenty of illustrations to augment the proofs. My two complaints are:

(i) It often references earlier volumes in Stein's series with little or no explanation of what the reference is - since many readers don't own volumes I-III, it would be useful to at least have the referenced result stated in some summary form

(ii) The book looks at integrable (L^1) and square-integrable (L^2) functions, but completely omits discussion of general L^p-spaces, which arguably underlie much of the Harmonic/Functional Analysis and PDE work of the last fifty years or more.

[Harris · Rating 4 out of 5]

Some weird, small gaps (mostly in the Fourier transform chapter) as a result of this being part of a series, but overall a good text that, for me, has been more beneficial than Rudin's or Royden's text on the same material. Sad that Lp-spaces are missing, but the chapter on Hausdorff measure and fractals more than made up for it.

[Wei Ye · Rating 5 out of 5]

Good book but so difficult for me, especially the exercises..What a book! Need to read and review it in the future

[Ron · Rating 5 out of 5]

best book on the subject, very clear and thorough explanations, enjoyable to read

[tiffanie · Rating 5 out of 5]

didn't use for real analysis sequence...used for measure & integration theory. wasn't amazing at it but enjoyed anyways