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Problems in real and functional analysis

It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement...

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Autor principal: Torchinsky, Alberto
Lenguaje:eng
Publicado: American Mathematical Society 2015
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Acceso en línea:http://cds.cern.ch/record/2279681
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author Torchinsky, Alberto
author_facet Torchinsky, Alberto
author_sort Torchinsky, Alberto
collection CERN
description It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating the needed definitions and basic results in the area and closes with a short description of the problems. The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most "natural" rather than the most elegant solution is presented.
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spelling cern-22796812021-04-21T19:05:57Zhttp://cds.cern.ch/record/2279681engTorchinsky, AlbertoProblems in real and functional analysisMathematical Physics and MathematicsIt is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating the needed definitions and basic results in the area and closes with a short description of the problems. The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most "natural" rather than the most elegant solution is presented.American Mathematical Societyoai:cds.cern.ch:22796812015
spellingShingle Mathematical Physics and Mathematics
Torchinsky, Alberto
Problems in real and functional analysis
title Problems in real and functional analysis
title_full Problems in real and functional analysis
title_fullStr Problems in real and functional analysis
title_full_unstemmed Problems in real and functional analysis
title_short Problems in real and functional analysis
title_sort problems in real and functional analysis
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2279681
work_keys_str_mv AT torchinskyalberto problemsinrealandfunctionalanalysis