Nonstandard Methods and Applications in Mathematics

Lecture Notes in Logic 25

By: David A. Ross (Editor), Nigel J. Cutland (Editor), Mauro Di Nasso (Editor)

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Hardcover | 21 February 2006 | Edition Number 1

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Hardcover
262 Pages

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22.86 x 15.88 x 2.54

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A conference on Nonstandard Methods and Applications in Mathematics (NS2002) was held in Pisa, Italy from June 12-16, 2002. Nonstandard analysis is one of the great achievements of modern applied mathematical logic. In addition to the important philosophical achievement of providing a sound mathematical basis for using infinitesimals in analysis, the methodology is now well established as a tool for both research and teaching, and has become a fruitful field of investigation in its own right. This book is a collection of peer-reviewed papers solicited from some of the participants of this conference with the aim of providing something more timely than a textbook, but less ephemeral than a conventional proceedings. It contains both survey papers and research articles with special consideration for one, "Nonstandard analysis at pre-university level: naive magnitude analysis" in which the author discusses his experience teaching calculus through an infinitesimal approach.

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