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Item Details
| Title:
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SUMMABLE SERIES AND CONVERGENCE FACTORS
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| By: |
Charles N. Moore |
| Format: |
Paperback |
| List price:
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£57.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821846205 |
| ISBN 13: |
9780821846209 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 July, 1938 |
| Series: |
Colloquium Publications 22 |
| Pages: |
105 |
| Description: |
Fairly early in the development of the theory of summability of divergent series, the concept of convergence factors was recognized as of fundamental importance in the subject. This book gives a generalized treatment of the theory of convergence factors of both types, for simply infinite series and for multiple series, convergent and summable. |
| Synopsis: |
'Fairly early in the development of the theory of summability of divergent series, the concept of convergence factors was recognized as of fundamental importance in the subject. One of the pioneers in this field was C. N. Moore, the author of the book under review...Moore classifies convergence factors into two types. In type I he places the factors which have only the property that they preserve convergence for a convergent series or produce convergence for a summable series. In type II he places the factors which not only maintain or produce convergence but have the additional property that they may be used to obtain the sum or generalized sum of the series. This book gives a generalized systematic treatment of the theory of convergence factors of both types, for simply infinite series and for multiple series, convergent and summable...- ""Bulletin of the American Mathematical Society"". |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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