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Analysis: from concepts to applications

This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results t...

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Detalles Bibliográficos
Autor principal: Penot, Jean-Paul
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-32411-1
http://cds.cern.ch/record/2240956
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author Penot, Jean-Paul
author_facet Penot, Jean-Paul
author_sort Penot, Jean-Paul
collection CERN
description This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character make it appropriate for self-study.
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spelling cern-22409562021-04-21T19:23:17Zdoi:10.1007/978-3-319-32411-1http://cds.cern.ch/record/2240956engPenot, Jean-PaulAnalysis: from concepts to applicationsMathematical Physics and MathematicsThis textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character make it appropriate for self-study.Springeroai:cds.cern.ch:22409562016
spellingShingle Mathematical Physics and Mathematics
Penot, Jean-Paul
Analysis: from concepts to applications
title Analysis: from concepts to applications
title_full Analysis: from concepts to applications
title_fullStr Analysis: from concepts to applications
title_full_unstemmed Analysis: from concepts to applications
title_short Analysis: from concepts to applications
title_sort analysis: from concepts to applications
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-32411-1
http://cds.cern.ch/record/2240956
work_keys_str_mv AT penotjeanpaul analysisfromconceptstoapplications