The Logarithmic Integral: Volume 2

A unique work giving a straightforward presentation of the logarithmic integral, a theme which lies athwart much of twentieth-century analysis.

Paul Koosis (Author)

9780521309073, Cambridge University Press

Hardback, published 20 August 1992

604 pages
22.9 x 3.8 x 15.2 cm, 1.05 kg

"...an expository masterpiece: sophisticated but informal, serious but engaging, demanding but generous." The American Mathematical Monthly

The theme of this work, the logarithmic integral, lies athwart 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. Professor Koosis' aim is to show how, from simple ideas, one can build up an investigation which explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so that 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 He has brought together here many results, some unpublished, some new, and some available only in inaccessible journals.

9. Jensen's formula again
10. Why we want to have multiplier theorems
11. Multiplier theorems.

Subject Areas: Calculus & mathematical analysis [PBK]