Abstract
In the following we survey the main results in the theory of measure and integration. The main references I have used are [EG], [S] and [R], in that order. Proofs are usually only sketched, but I have attempted to provide a reasonable amount of motivation of both proofs and results. We will often consider general measures $\mu$ on an arbitrary set $X$. But you should first think of the most important case - Lebesgue measure in $\IR^n$. To fix ideas, take $n = 2$.
Information
Published: 1 January 1996
First available in Project Euclid: 18 November 2014
Rights: Copyright © 1996, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.