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Science/Engineering Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Repost)

Posted on 2010-03-16




Name:Science/Engineering Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Repost)
ASIN/ISBN:0691113866
Language:English
File size:3.1 Mb
Publisher: Princeton University Press
ISBN: 0691113866
Publish Date: edition 2005
File Type: PDF
Pages: 423 pages
File Size: 3,1 mb
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Real Analysis: Measure Theory, Integration, and Hilbert Spaces

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.



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