Borel's Methods of Summability: Theory and Applications (Oxford Mathematical Monographs)
Language: English
Published by Clarendon Press, 1994
- Hardcover
- New
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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. Series: Oxford Mathematical Monographs. Num Pages: 254 pages, bibliography. BIC Classification: PBH; PBK. Category: (P) Professional & Vocational. Dimension: 241 x 162 x 19. Weight in Grams: 556. . 1994. Illustrated. hardcover. . . . . Books ship from the US and Ireland.
Seller Inventory # V9780198535850
- Title
- Borel's Methods of Summability: Theory and Applications (Oxford Mathematical Monographs)
- Author
- Shawyer, Bruce L. R.
- Publisher
- Clarendon Press
- Publication year
- 1994
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0198535856
- ISBN 13
- 9780198535850
An important type of theorem is called a Tauberian theorem. Here, we know that a sequence is summable. The sequence satisfies a further property that implies convergence.
Borel's methods are fundamental to a whole class of sequences to function methods. The transformation gives a function that is usually analytic in a large part of the complex plane, leading to a method for analytic continuation.
These methods, dated from the beginning of the 20th century, have recently found applications in some problems in theoretical physics.
"Synopsis" may belong to another edition of this title.
Review
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. (W Beekmann, Zentrallblatt for Mathematik, Band 840/96.)
"About the title" may belong to another edition of this title.
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