Nonstandard Methods and Applications in Mathematics

Lecture Notes in Logic 25
A K Peters (Verlag)
  • 1. Auflage
  • |
  • erschienen am 21. Februar 2006
  • Buch
  • |
  • Hardcover
  • |
  • 262 Seiten
978-1-56881-291-5 (ISBN)
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.
  • Englisch
  • Natick
  • |
  • USA
Taylor & Francis Inc
  • Für höhere Schule und Studium
  • |
  • Für Beruf und Forschung
  • Höhe: 229 mm
  • |
  • Breite: 152 mm
  • 499 gr
978-1-56881-291-5 (9781568812915)
1568812914 (1568812914)
weitere Ausgaben werden ermittelt
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 Universita 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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