Nonstandard Methods and Applications in Mathematics: Lecture Notes in Logic 25 Contributor(s): Cutland, Nigel J. (Editor), Di Nasso, Mauro (Editor), Ross, David A. (Editor) |
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ISBN: 1568812914 ISBN-13: 9781568812915 Publisher: A K PETERS OUR PRICE: $138.60 Product Type: Hardcover - Other Formats Published: February 2006 |
Additional Information |
BISAC Categories: - Mathematics | Calculus - Mathematics | Set Theory |
Dewey: 515 |
LCCN: 2005057415 |
Series: Lecture Notes in Logic |
Physical Information: 262 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |