Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3)

3.5
ISBN-13: 9780691113869
ISBN-10: 0691113866
Edition: First Edition
Author: Elias M. Stein, Rami Shakarchi
Publication date: 2005
Publisher: Princeton University Press
Format: Hardcover 424 pages
Category: Mathematics
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Book details

ISBN-13: 9780691113869
ISBN-10: 0691113866
Edition: First Edition
Author: Elias M. Stein, Rami Shakarchi
Publication date: 2005
Publisher: Princeton University Press
Format: Hardcover 424 pages
Category: Mathematics

Summary

Acknowledged authors Elias M. Stein , Rami Shakarchi wrote Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3) comprising 424 pages back in 2005. Textbook and eTextbook are published under ISBN 0691113866 and 9780691113869. Since then Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3) textbook received total rating of 3.5 stars and was available to sell back to BooksRun online for the top buyback price of $ 24.85 or rent at the marketplace.

Description

Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science.


After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, the authors move to the elements of Hilbert space, via the L2 theory. They next present basic illustrations of these concepts from Fourier analysis, partial differential equations, and complex analysis. The final part of the book introduces the reader to the fascinating subject of fractional-dimensional sets, including Hausdorff measure, self-replicating sets, space-filling curves, and Besicovitch sets. Each chapter has a series of exercises, from the relatively easy to the more complex, that are tied directly to the text. A substantial number of hints encourage the reader to take on even the more challenging exercises.


As with the other volumes in the series, Real Analysis is accessible to students interested in such diverse disciplines as mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels.


Also available, the first two volumes in the Princeton Lectures in Analysis:

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