Lectures notes from 1970 for the first-year graduate-level
analysis course on measures and integration at UC Berkeley
that I gave several times during the late 1960's
can be found here. The notable feature of the notes is that they treat the
Bochner integral from the beginning, in a quite
elementary way (e.g. no mention of the Hahn-Banach theorem).
This has both practical and pedagogical
advantages. Not all lectures listed in the table of
contents were ever typed up.
The origin of these lecture notes lies in the turmoil on
the UC Berkeley campus in the late 1960's, when there were
periods of time when students indicated that as a protest they did not
want to come to class (and if they did try to come to class
there was a significant probability that they would encounter
tear-gas or worse), but they indicated that they wanted
to continue their studies and so requested that written
notes of the lectures they missed (if held at all) be
made available to them.
Chapter 1 - Measures,
Chapter 2 - Properties of Measures,
Chapter 3 - Measurable Functions,
Chapter 4 - Integration,
Chapter 5 - The Lp Spaces,
Chapter 6 - Product Measures and Fubini's Theorem,