The theme of this unique work, the logarithmic integral, lies athwart
much of twentieth century analysis. It is a thread connecting many
apparently separate parts of the subject, and is a natural point at
which to begin a serious study of real and complex analysis. Professor
Koosis' aim is to show how, from simple ideas, one can build up an
investigation that explains and clarifies many different, seemingly
unrelated problems; to show, in effect, how mathematics grows. The
presentation is straightforward, so this, the first of two volumes, is
self-contained, but more importantly, by following the theme, Professor
Koosis has produced a work that can be read as a whole. He has brought
together here many results, some new and unpublished, making this a key
reference for graduate students and researchers.