Nonstandard Methods and Applications in Mathematics

Lecture Notes in Logic 25
1. Auflage 2006
ISBN: 978-1-56881-291-5
Verlag: Taylor & Francis

Buch, Englisch, 262 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 498 g

Reihe: Lect. Notes in Logic

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.

Autoren/Hrsg.

Cutland, Nigel J.

Di Nasso, Mauro

Ross, David A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface, FOUNDATIONS, PURE MATHEMATICS, APPLIED MATHEMATICS, TEACHING

Über Autor(innen)

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