Primer of Infinitesimal Analysis by John L. Bell
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Primer of Infinitesimal Analysis
By John L. Bell

A Primer of Infinitesimal Analysis

2nd Revised edition

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Format: Hardback

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Primer of Infinitesimal Analysis by John L. Bell

Book Description

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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Book Details

ISBN: 9780521887182
ISBN-10: 0521887186
Format: Hardback
(228mm x 152mm x 15mm)
Pages: 140
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 7-Apr-2008
Country of Publication: United Kingdom

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This third edition, now available in paperback, is a follow up to the author's classic Boolean-Valued Models and Independence Proofs in Set Theory. It provides an exposition of some of the most important results in set theory obtained in the 20th century: the independence of the continuum hypothesis and the axiom of choice.

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Author Biography - John L. Bell

John L. Bell is Professor of Philosophy at the University of Western Ontario. He is the author of 7 other books, including Models and Ultraproducts with A. B. Slomson, A Course in Mathematical Logic with M. Machover, Logical Options with D. DeVidi and G. Solomon, Set Theory: Boolean-Valued Models and Independence Proofs, and The Continuous and the Infinitesimal in Mathematics and Philosophy.

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