Borel's Methods of Summability: Theory and Applications (Oxford Mathematical Monographs) - Hardcover
Synopsis
Summability methods are transformations that map sequences (or functions) to sequences (or functions). A prime requirement for a "good" summability method is that it preserves convergence. Unless it is the identity transformation, it will do more: it will transform some divergent sequences to convergent sequences.
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 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
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 this title" may belong to another edition of this title.
Search results for Borel's Methods of Summability: Theory and Applications...
Stock Image
Borel's Methods of Summability
Print on DemandSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
HRD. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L1-9780198535850
Buy New
£ 89.49
£ 5.02 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
Borel's Methods of Summability : Theory and Applications
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 640811-n
Stock Image
Borel's Methods of Summability
Print on DemandSeller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
HRD. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L1-9780198535850
Stock Image
Borel's Methods of Summability: Theory and Application (Oxford Mathematical Monographs)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780198535850_new
Buy New
£ 88.16
£ 11.98 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Borel's Methods of Summability: Theory and Applications (eng)
Print on DemandSeller: Brook Bookstore On Demand, Napoli, NA, Italy
Seller rating 3 out of 5 stars
Condition: new. Questo è un articolo print on demand. Seller Inventory # 2f5ac55acff0cc6e48af62ba81b9bc8b
Buy New
£ 98.02
£ 4.79 shipping
Ships from Italy to U.S.A.
Ships from Italy to U.S.A.
Quantity: Over 20 available
Seller Image
Borel's Methods of Summability : Theory and Applications
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 640811-n
Buy New
£ 88.15
£ 15 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
Borel's Methods of Summability : Theory and Applications
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 640811
Stock Image
Borel's Methods of Summability (Hardcover)
Published by
Oxford University Press, Oxford, 1994
ISBN 10: 0198535856
ISBN 13: 9780198535850
New
Hardcover
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. Summability methods are transformations that map sequences (or functions) to sequences (or functions). A prime requirement for a "good" summability method is that it preserves convergence. Unless it is the identity transformation, it will do more: it will transform some divergent sequences to convergent sequences. An important type of theorem is called a Tauberian theorem. Here, we know that a sequence is summable. The sequence satisfies afurther 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 usuallyanalytic 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198535850
Seller Image
Borel's Methods of Summability : Theory and Applications
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 640811
Buy Used
£ 99.13
£ 15 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
Borel's Methods of Summability
Published by
Oxford University Press, GB, 1994
ISBN 10: 0198535856
ISBN 13: 9780198535850
New
Hardcover
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. Summability methods are transformations that map sequences (or functions) to sequences (or functions). A prime requirement for a "good" summability method is that it preserves convergence. Unless it is the identity transformation, it will do more: it will transform some divergent sequences to convergent sequences.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. Seller Inventory # LU-9780198535850
Buy New
£ 115.51
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available