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Synopsis
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.
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About the Author
Bruce L. R. Shawyer is at Memorial University of Newfoundland. Bruce Watson is at Memorial University of Newfoundland.
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Borel's Methods of Summability : Theory and Applications
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Borel's Methods of Summability (Hardcover)
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Oxford University Press, Oxford, 1994
ISBN 10: 0198535856
ISBN 13: 9780198535850
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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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198535850
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Borel's Methods of Summability: Theory and Applications (eng)
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Borel's Methods of Summability
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Borel's Methods of Summability: Theory and Applications (Oxford Mathematical Monographs)
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Condition: New. 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. . . . . Seller Inventory # V9780198535850
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Borel's Methods of Summability : Theory and Applications
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Borel's Methods of Summability: Theory and Application (Oxford Mathematical Monographs)
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Borel's Methods of Summability: Theory and Applications (Oxford Mathematical Monographs)
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Condition: New. 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
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Borel's Methods of Summability
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ISBN 10: 0198535856
ISBN 13: 9780198535850
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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
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Borel's Methods of Summability
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