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A concise introduction to measure theory
This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard unde...
Autor principal: | |
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Lenguaje: | eng |
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Springer
2018
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/978-3-030-03241-8 http://cds.cern.ch/record/2665342 |
_version_ | 1780961934817886208 |
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author | Shirali, Satish |
author_facet | Shirali, Satish |
author_sort | Shirali, Satish |
collection | CERN |
description | This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard undergraduate courses. It has certain advantages, notably simplifying the extension to "fuzzy" measures, which is one of the many topics covered in the book. This book will be accessible to undergraduate students who have completed a first course in the foundations of analysis. Containing numerous examples as well as fully solved exercises, it is exceptionally well suited for self-study or as a supplement to lecture courses. |
id | cern-2665342 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2018 |
publisher | Springer |
record_format | invenio |
spelling | cern-26653422021-04-21T18:28:18Zdoi:10.1007/978-3-030-03241-8http://cds.cern.ch/record/2665342engShirali, SatishA concise introduction to measure theoryMathematical Physics and MathematicsThis undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard undergraduate courses. It has certain advantages, notably simplifying the extension to "fuzzy" measures, which is one of the many topics covered in the book. This book will be accessible to undergraduate students who have completed a first course in the foundations of analysis. Containing numerous examples as well as fully solved exercises, it is exceptionally well suited for self-study or as a supplement to lecture courses.Springeroai:cds.cern.ch:26653422018 |
spellingShingle | Mathematical Physics and Mathematics Shirali, Satish A concise introduction to measure theory |
title | A concise introduction to measure theory |
title_full | A concise introduction to measure theory |
title_fullStr | A concise introduction to measure theory |
title_full_unstemmed | A concise introduction to measure theory |
title_short | A concise introduction to measure theory |
title_sort | concise introduction to measure theory |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-030-03241-8 http://cds.cern.ch/record/2665342 |
work_keys_str_mv | AT shiralisatish aconciseintroductiontomeasuretheory AT shiralisatish conciseintroductiontomeasuretheory |