Version française

Cahiers du Centre de Logique, vol. 9

References

A. PÉTRY (éd.), Méthodes et analyse non-standard
volume 9 of the Cahiers du Centre de logique, Academia, Louvain-la-Neuve (Belgium), 1996, 168 pp.
ISBN 2-87209-440-7, 980 BEF

Summary

This volume is essentially devoted to Nonstandard Analysis. The aspects considered here are the most varied.

Mawhin considers several kinds of integrals from a nonstandard perspective. Ortiz develops the idea of 'approximate truth' for Banach spaces. The differential equations are presented by Perrin in a finitistic and very economical fashion. Nonstandard Analysis has a constructive aspect as well, this point of view is investigated by Palmgren. From the example of Gromov's theorem, Wantiez looks at the algebraic applications. The pedagogic aspect is not neglected, a concrete and motivated introduction to the hypernatural numbers is given by Gilbert and Rouche.

Table of contents

[PDF]	[Préliminaires]
Mawhin, J.	Intégration et analyse non standard	9-23
Ortiz, C. E.	Approximate Truth and Nonstandard Analysis	25-55
Feneyrol-Perrin, Y.	Résolution d'équations différentielles par les méthodes infinitésimales	57-67
Palmgren, E.	Constructive Nonstandard Analysis	69-97
Gilbert, Th. Rouche, N.	Y a-t-il vraiment autant de nombres pairs que de naturels ?	99-139
Wantiez, P.	Limites d'espaces métriques et ultraproduits	141-168
17 l 16 l 15 l 14 l 13 l 12 l 11 l 10 l 8 l 7 l 6 l 5 l 4 l 3 l 2 l 1

October 23, 2015