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Item Details
| Title:
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A PRIMER OF INFINITESIMAL ANALYSIS
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| By: |
John L. Bell |
| Format: |
Electronic book text |
| List price:
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£135.00 |
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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: |
0511619626 |
| ISBN 13: |
9780511619625 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
29 January, 2010 |
| Edition: |
2nd Revised edition |
| Description: |
A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal. |
| Synopsis: |
One of the most remarkable recent occurrences in mathematics is the refounding, on a rigorous basis, of the idea of infinitesimal quantity, a notion which played an important role in the early development of the calculus and mathematical analysis. In this new edition basic calculus, together with some of its applications to simple physical problems, are presented through the use of a straightforward, rigorous, axiomatically formulated concept of 'zero-square', or 'nilpotent' infinitesimal - that is, a quantity so small that its square and all higher powers can be set, literally, to zero. The systematic employment of these infinitesimals reduces the differential calculus to simple algebra and, at the same time, restores to use the "infinitesimal" methods figuring in traditional applications of the calculus to physical problems - a number of which are discussed in this book. This edition also contains an expanded historical and philosophical introduction. |
| Illustrations: |
54 exercises |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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