Real Analysis: Theory Of Measure And Integration (3rd Edition) - Softcover

J Yeh

Softcover

ISBN 10: 9814578541 ISBN 13: 9789814578547

Publisher: World Scientific Publishing Company, 2014

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.

About this title

Review:

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

From the Inside Flap:

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.

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2014
• ISBN 10: 9814578541
• ISBN 13: 9789814578547
• Binding: Paperback
• Edition number: 3
• Number of pages: 840