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Science/Engineering A Primer of Infinitesimal Analysis

Posted on 2010-03-15




Name:Science/Engineering A Primer of Infinitesimal Analysis
ASIN/ISBN:0521887186
Language:English
File size:1.7 Mb
Publish Date: 2008-04-07
ISBN: 0521887186
Pages: 140 pages
File Type: PDF
File Size: 1,7 MB
Other Info: Cambridge University Press
   Science/Engineering A Primer of Infinitesimal Analysis

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John L. Bell "A Primer of Infinitesimal Analysis"

One of the most remarkable recent occurrences in mathematics is the re-founding, on a rigorous basis, 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 and updated 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, 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.

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