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Borel's Methods of Summability: Theory and Applications
     

Borel's Methods of Summability: Theory and Applications

by Bruce L. Shawyer, Bruce B. Watson, Watson Shawyer
 

ISBN-10: 0198535856

ISBN-13: 9780198535850

Pub. Date: 07/28/1994

Publisher: Oxford University Press, USA

Borel's methods of summability—transformations of one series of numbers to another—are fundamental to a whole class of sequences to function methods. Conceived at the beginning of the 20th century, they have been increasingly applied to exciting new problems in theoretical physics. Comprehensive and rigorous, this book offers an outstanding overview of

Overview

Borel's methods of summability—transformations of one series of numbers to another—are fundamental to a whole class of sequences to function methods. Conceived at the beginning of the 20th century, they have been increasingly applied to exciting new problems in theoretical physics. Comprehensive and rigorous, this book offers an outstanding overview of the subject. It will be sought after by students and researchers in number theory.

Product Details

ISBN-13:
9780198535850
Publisher:
Oxford University Press, USA
Publication date:
07/28/1994
Series:
Oxford Mathematical Monographs Series
Pages:
256
Product dimensions:
6.38(w) x 9.50(h) x 0.79(d)

Related Subjects

Table of Contents

Introduction
1. Historical Overview
2. Summability Methods in General
3. Borel's Methods of Summability
4. Relations with the Family of Circle Methods
5. Generalizations
6. Albelian Theorems
7. Tauberian Theorems—I
8. Tauberian Theorems—II
9. Relationships with Other Methods
10. Applications of Borel's Methods
References

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