Borel's Methods of Summability: Theory and Application

by Bruce Shawyer, Bruce Watson

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
Publication date:	10/27/1994
Series:	Oxford Mathematical Monographs
Pages:	254
Product dimensions:	9.21(w) x 6.14(h) x 0.63(d)

About the Author

both at Memorial University of Newfoundland

Table of Contents

Introduction1. Historical Overview2. Summability Methods in General3. Borel's Methods of Summability4. Relations with the Family of Circle Methods5. Generalizations6. Albelian Theorems7. Tauberian Theorems—I8. Tauberian Theorems—II9. Relationships with Other Methods10. Applications of Borel's MethodsReferences

Editorial Reviews

"The treatment is careful and clear throughout. The book will be a valuable work of reference in its field for many years to come." —Mathematical Reviews

From the Publisher