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

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9781568812915: Nonstandard Methods and Applications in Mathematics: Lecture Notes in Logic 25

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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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 UniversitÓ 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.

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Book Description Taylor Francis Inc, United States, 2006. Hardback. Book Condition: New. New.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # BTE9781568812915

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