Nonstandard Methods and Applications in Mathematics: Lecture Notes in Logic 25 - Hardcover

Hardcover

ISBN 10: 1568812914 ISBN 13: 9781568812915

Publisher: A K Peters/CRC Press, 2006

Synopsis

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.

About this title

About the Author

Nigel J. Cutland, Mauro Di Nasso, David A. Ross

Edition details

• Publisher: A K Peters/CRC Press
• Publication date: 2006
• Language: English
• ISBN 10: 1568812914
• ISBN 13: 9781568812915
• Binding: Hardcover
• Number of pages: 262
• Editor: Cutland Nigel J., Di Nasso Mauro, Ross David A.