Real Analysis : : Measure Theory, Integration, and Hilbert Spaces / / Elias M. Stein, Rami Shakarchi.
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 H...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2009] ©2005 |
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Stein, Elias M., author. aut http://id.loc.gov/vocabulary/relators/aut Real Analysis : Measure Theory, Integration, and Hilbert Spaces / Elias M. Stein, Rami Shakarchi. Princeton, NJ : Princeton University Press, [2009] ©2005 1 online resource (424 p.) : 51 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Foreword -- Contents -- Introduction -- 1 Measure Theory -- 2 Integration Theory -- 3 Differentiation and Integration -- 4 Hilbert Spaces: An Introduction -- 5 Hilbert Spaces: Several Examples -- 6 Abstract Measure and Integration Theory -- 7 Hausdorff Measure and Fractals -- Notes and References -- Bibliography -- Symbol Glossary -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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: Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) MATHEMATICS / Mathematical Analysis. bisacsh Shakarchi, Rami, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691113869 https://doi.org/10.1515/9781400835560?locatt=mode:legacy https://www.degruyter.com/isbn/9781400835560 Cover https://www.degruyter.com/cover/covers/9781400835560.jpg |
language |
English |
format |
eBook |
author |
Stein, Elias M., Stein, Elias M., Shakarchi, Rami, |
spellingShingle |
Stein, Elias M., Stein, Elias M., Shakarchi, Rami, Real Analysis : Measure Theory, Integration, and Hilbert Spaces / Frontmatter -- Foreword -- Contents -- Introduction -- 1 Measure Theory -- 2 Integration Theory -- 3 Differentiation and Integration -- 4 Hilbert Spaces: An Introduction -- 5 Hilbert Spaces: Several Examples -- 6 Abstract Measure and Integration Theory -- 7 Hausdorff Measure and Fractals -- Notes and References -- Bibliography -- Symbol Glossary -- Index |
author_facet |
Stein, Elias M., Stein, Elias M., Shakarchi, Rami, Shakarchi, Rami, Shakarchi, Rami, |
author_variant |
e m s em ems e m s em ems r s rs |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Shakarchi, Rami, Shakarchi, Rami, |
author2_variant |
r s rs |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Stein, Elias M., |
title |
Real Analysis : Measure Theory, Integration, and Hilbert Spaces / |
title_sub |
Measure Theory, Integration, and Hilbert Spaces / |
title_full |
Real Analysis : Measure Theory, Integration, and Hilbert Spaces / Elias M. Stein, Rami Shakarchi. |
title_fullStr |
Real Analysis : Measure Theory, Integration, and Hilbert Spaces / Elias M. Stein, Rami Shakarchi. |
title_full_unstemmed |
Real Analysis : Measure Theory, Integration, and Hilbert Spaces / Elias M. Stein, Rami Shakarchi. |
title_auth |
Real Analysis : Measure Theory, Integration, and Hilbert Spaces / |
title_alt |
Frontmatter -- Foreword -- Contents -- Introduction -- 1 Measure Theory -- 2 Integration Theory -- 3 Differentiation and Integration -- 4 Hilbert Spaces: An Introduction -- 5 Hilbert Spaces: Several Examples -- 6 Abstract Measure and Integration Theory -- 7 Hausdorff Measure and Fractals -- Notes and References -- Bibliography -- Symbol Glossary -- Index |
title_new |
Real Analysis : |
title_sort |
real analysis : measure theory, integration, and hilbert spaces / |
publisher |
Princeton University Press, |
publishDate |
2009 |
physical |
1 online resource (424 p.) : 51 line illus. Issued also in print. |
contents |
Frontmatter -- Foreword -- Contents -- Introduction -- 1 Measure Theory -- 2 Integration Theory -- 3 Differentiation and Integration -- 4 Hilbert Spaces: An Introduction -- 5 Hilbert Spaces: Several Examples -- 6 Abstract Measure and Integration Theory -- 7 Hausdorff Measure and Fractals -- Notes and References -- Bibliography -- Symbol Glossary -- Index |
isbn |
9781400835560 9783110442502 9780691113869 |
url |
https://doi.org/10.1515/9781400835560?locatt=mode:legacy https://www.degruyter.com/isbn/9781400835560 https://www.degruyter.com/cover/covers/9781400835560.jpg |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.7 |
dewey-sort |
3515 17 |
dewey-raw |
515/.7 |
dewey-search |
515/.7 |
doi_str_mv |
10.1515/9781400835560?locatt=mode:legacy |
oclc_num |
1088328321 |
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AT steineliasm realanalysismeasuretheoryintegrationandhilbertspaces AT shakarchirami realanalysismeasuretheoryintegrationandhilbertspaces |
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ids_txt_mv |
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cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
is_hierarchy_title |
Real Analysis : Measure Theory, Integration, and Hilbert Spaces / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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