Introduction to Measure Theory and Integration

This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point...

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Detalles Bibliográficos
Autores principales: Ambrosio, Luigi, Prato, Giuseppe, Mennucci, Andrea
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-88-7642-386-4
http://cds.cern.ch/record/1486714
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author Ambrosio, Luigi
Prato, Giuseppe
Mennucci, Andrea
author_facet Ambrosio, Luigi
Prato, Giuseppe
Mennucci, Andrea
author_sort Ambrosio, Luigi
collection CERN
description This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point of view on measure theory and integration, putting Lebesgue's Euclidean space theory into a more general context and presenting the basic applications to Fourier series, calculus and real analysis. The text can also pave the way to more advanced courses in probability, stochastic processes or geomet
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher Springer
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spelling cern-14867142021-04-22T00:16:08Zdoi:10.1007/978-88-7642-386-4http://cds.cern.ch/record/1486714engAmbrosio, LuigiPrato, GiuseppeMennucci, AndreaIntroduction to Measure Theory and IntegrationMathematical Physics and MathematicsThis textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point of view on measure theory and integration, putting Lebesgue's Euclidean space theory into a more general context and presenting the basic applications to Fourier series, calculus and real analysis. The text can also pave the way to more advanced courses in probability, stochastic processes or geometSpringeroai:cds.cern.ch:14867142011
spellingShingle Mathematical Physics and Mathematics
Ambrosio, Luigi
Prato, Giuseppe
Mennucci, Andrea
Introduction to Measure Theory and Integration
title Introduction to Measure Theory and Integration
title_full Introduction to Measure Theory and Integration
title_fullStr Introduction to Measure Theory and Integration
title_full_unstemmed Introduction to Measure Theory and Integration
title_short Introduction to Measure Theory and Integration
title_sort introduction to measure theory and integration
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-88-7642-386-4
http://cds.cern.ch/record/1486714
work_keys_str_mv AT ambrosioluigi introductiontomeasuretheoryandintegration
AT pratogiuseppe introductiontomeasuretheoryandintegration
AT mennucciandrea introductiontomeasuretheoryandintegration

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