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A Primer of Infinistesimal Analysis

A Primer of Infinistesimal Analysis

Hardcover

FictionGeneral Mathematics

ISBN10: 0521887186
ISBN13: 9780521887182
Publisher: Cambridge
Published: Apr 7 2008
Pages: 140
Weight: 0.73
Height: 0.57 Width: 6.22 Depth: 9.29
Language: English
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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General Mathematics