Borel''s Methods of Summability - Theory and Applications

Zusatztext The book is written in a very informative style providing proofs where they support the understanding and referring to the literature for technical details and further study; the reader will very soon notice and appreciate the authors' thorough way of referencing. Klappentext 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. Zusammenfassung Summability methods are concerned with transforming series of numbers to other series. It is an area that has seen applications in number theory as well as in other parts of mathematics. This book covers both the theory and some of the applications of Borel summability. Inhaltsverzeichnis Introduction 1: Historical Overview 2: Summability Methods in General 3: Borel's Methods of Summability 4: Relations with the family of circle methods 5: Generalisations 6: Albelian Theorems 7: Tauberian Theorems - I 8: Tauberian Theorems - II 9: Relationships with other methods 10: Applications of Borel's Methods References

Product details

• Authors: Bruce Shawyer, Bruce L Shawyer, Bruce L. Shawyer, Bruce L. R. Shawyer, Bruce L. R. (Professor of Mathematics Shawyer, Bruce L.r. Watson Shawyer, Bruce Watson Shawyer, Watson Shawyer, Bruce Watson, Bruce B Watson, Bruce B. Watson, Watson Bruce
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 14.07.1994
• EAN: 9780198535850
• ISBN: 978-0-19-853585-0
• No. of pages: 254
• Series: Oxford Mathematical Monographs; Oxford Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, MATHEMATICS / Number Theory, Number Theory, Calculus & mathematical analysis, Calculus and mathematical analysis