Synopses & Reviews
The theme of this unique work, the logarithmic integral, is found throughout much of twentieth century analysis. It is a thread connecting many apparently separate parts of the subject, and so is a natural point at which to begin a serious study of real and complex analysis. The author's 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.
"...an expository masterpiece: sophisticated but informal, serious but engaging, demanding but generous." The American Mathematical Monthly
A unique work giving a straightforward presentation of the logarithmic integral, a theme which lies athwart much of twentieth-century analysis.
Table of Contents
9. Jensen's formula again; 10. Why we want to have multiplier theorems; 11. Multiplier theorems.