Articles liés à Real Analysis: Theory of Measure and Integration
Synopsis
I can easily imagine this book being used as a review source for graduate students before taking qualifying exams. The material is very dense. If one is dedicated to learning all the details of measure theory and integration I can assert with absolute confidence that they are all here for the interested reader.
- Mathematical Association of America
This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.
The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.
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Présentation de l'éditeur
I can easily imagine this book being used as a review source for graduate students before taking qualifying exams. The material is very dense. If one is dedicated to learning all the details of measure theory and integration I can assert with absolute confidence that they are all here for the interested reader. - Mathematical Association of America
This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.
The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.
Revue de presse
Finally, I recommend this book for a student who is helped by a good adviser. --Mathematical Reviews
Every concept is defined precisely and every theorem is presented with a detailed and complete proof. --Mathematics Abstracts
It is particularly suitable for a one-year course at the graduate level. --Zentralblatt MATH
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurWorld Scientific Publishing Co Pte Ltd
- Date d'édition2014
- ISBN 10 9814578533
- ISBN 13 9789814578530
- ReliureRelié
- Langueanglais
- Numéro d'édition3
- Nombre de pages840
- Coordonnées du fabricantnon disponible
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ISBN 13 : 9789814578530
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ISBN 13 : 9789814578530
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