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

Softcover

ISBN 10: 1568812922 ISBN 13: 9781568812922

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 is a professor of Pure Mathematics at the University of Hull where he researches logic and foundations of mathematics, stochastic analysis, and nonstandard analysis and its applications.Mauro Di Nasso is a professor at the Università di Pisa where he researches model theory and nonstandard analysis.David A. Ross is a professor at the University of Hawaii, Honolulu where he researches nonstandard analysis and probability theory.

Edition details

• Publisher: A K Peters/CRC Press
• Publication date: 2006
• ISBN 10: 1568812922
• ISBN 13: 9781568812922
• Binding: Paperback
• Language: English
• Number of pages: 262
• Editor: Cutland Nigel J., Di Nasso Mauro, Ross David A.