With some justification, measure theory has a bad reputation. It is regarded by most students as a subject that has little æsthetic appeal and lots of fussy details. In order to make the subject more palatable, many authors have chosen to add spice by embedding measure theory inside one of the many topics in which measure theory plays a central role. In the past, Fourier analysis was usually the topic chosen, but in recent years Fourier analysis has been frequently displaced by probability theory. There is a lot to be said for the idea of introducing a running metaphor with which to motivate the technical definitions and minutiae with which measure theory is riddled. However, I1 have not adopted this pedagogic device. Instead, I have attempted to present measure theory as an essential branch of analysis, one that has merit of its own. Thus, although I often digress to demonstrate how measure theory answers questions whose origins are in other branches of analysis, this book is about measure theory, unadorned.