A Primer of Infinitesimal Analysis

A Primer of Infinitesimal Analysis pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:John L. Bell
出品人:
页数:140
译者:
出版时间:2008-04-07
价格:USD 60.00
装帧:Hardcover
isbn号码:9780521887182
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  • 数学分析 
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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.

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