Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autor principal: Shirali, Satish
Lenguaje:eng
Publicado: Springer 2018
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-03241-8
http://cds.cern.ch/record/2665342
_version_ 1780961934817886208
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