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Cambridge Studies in Advanced Mathematics #012: The Logarithmic Integral: Volume 1

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Cambridge Studies in Advanced Mathematics #012: The Logarithmic Integral: Volume 1 Cover

 

Synopses & Reviews

Publisher Comments:

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 He has brought together here many results, some new and unpublished, making this a key reference for graduate students and researchers.

Synopsis:

The logarithmic integral is a thread connecting many apparently separate parts of twentieth century analysis, 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.

Synopsis:

Self-contained study of real and complex analysis bringing together many separate parts of this subject.

Table of Contents

Preface; Introduction; 1. Jensen's formula; 2. Szego's theorem; 3. Entire functions of exponential type; 4. Quasianalyticity; 5. The moment problem on the real line; 6. Weighted approximation on the real line; 7. How small can the Fourier transform of a rapidly decreasing non-zero function be?; 8. Persistence of the form dx/(1+x^2); Addendum; Bibliography for volume I; Index; Contents of volume II.

Product Details

ISBN:
9780521596725
Editor:
Koosis, Paul
Editor:
Fulton, W.
Editor:
Bollobas, B.
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Author:
Katok, A.
Author:
Bollobas, B.
Author:
Koosis, Paul
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Differential Equations
Subject:
Mathematical Analysis
Subject:
Probability
Subject:
Integrals
Subject:
Harmonic analysis
Subject:
Analytic functions
Subject:
Logarithms
Subject:
Integrals, Logarithmic.
Subject:
Probability & Statistics - General
Subject:
Mathematics-Analysis General
Subject:
Algebra - Abstract
Edition Number:
1
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
012
Publication Date:
20050131
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
156 b/w illus.
Pages:
628
Dimensions:
9.00x6.08x1.25 in. 1.81 lbs.

Related Subjects

History and Social Science » World History » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Cambridge Studies in Advanced Mathematics #012: The Logarithmic Integral: Volume 1 New Trade Paper
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$113.50 In Stock
Product details 628 pages Cambridge University Press - English 9780521596725 Reviews:
"Synopsis" by , The logarithmic integral is a thread connecting many apparently separate parts of twentieth century analysis, 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.
"Synopsis" by , Self-contained study of real and complex analysis bringing together many separate parts of this subject.
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