In this third volume we establish the basic facts concerning measure
theory and integration. This allows us to reexamine and develop further
several important topics that arose in the previous volumes, as well as to
introduce a number of other subjects of substantial interest in analysis.
To aid the interested reader, we have starred sections that contain more
advanced material. These can be omitted on ¯rst reading. We also want
to take this opportunity to thank Daniel Levine for his continuing help in
proof-reading and the many suggestions he made that are incorporated
in the text.
November 2004