Une théorie générale des infinitésimaux

Yves Peraire

Publications du Département de mathématiques (Lyon) (1986)

  • Volume: 5/A, Issue: 5A, page 1-60
  • ISSN: 0076-1656

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Peraire, Yves. "Une théorie générale des infinitésimaux." Publications du Département de mathématiques (Lyon) 5/A.5A (1986): 1-60. <http://eudml.org/doc/274281>.

@article{Peraire1986,
author = {Peraire, Yves},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {graduation; metric spaces; nonstandard analysis; almost periodic functions; differential equations; relative consistency},
language = {fre},
number = {5A},
pages = {1-60},
publisher = {Université Claude Bernard - Lyon 1},
title = {Une théorie générale des infinitésimaux},
url = {http://eudml.org/doc/274281},
volume = {5/A},
year = {1986},
}

TY - JOUR
AU - Peraire, Yves
TI - Une théorie générale des infinitésimaux
JO - Publications du Département de mathématiques (Lyon)
PY - 1986
PB - Université Claude Bernard - Lyon 1
VL - 5/A
IS - 5A
SP - 1
EP - 60
LA - fre
KW - graduation; metric spaces; nonstandard analysis; almost periodic functions; differential equations; relative consistency
UR - http://eudml.org/doc/274281
ER -

References

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  1. [1] V. Arnold, Méthodes mathématiques de la mécanique classique Ed. M.I.R. Zbl0385.70001
  2. [2] P. Cartier, Analyse non standard : nouvelles méthodes infinitésimales en analyse, application à la géométrie et aux probabilités (à paraitre). 
  3. [3] C.C. Chang et H.J. Keisler, Model theory. North Holland, Amsterdam (1978). Zbl0697.03022MR1059055
  4. [4] J.L. Krivine, Théorie axiomatique des ensembles P.U.F. Zbl0175.00601
  5. [5] E. Nelson, Internal set theory : A new approach of non standard analysisB.A.M.S.83 n° 6 nov. 1977. Zbl0373.02040MR469763
  6. [6] A. Robinson, Non standard analysis, North HollandAmsterdam1966. Zbl0151.00803MR205854
  7. [7] T. Sari, Fonctions presque-périodiques, actes de l'école d'été d'Oran-les andalouses 8-12 Sept.1984 Ed. CNRS (Paris), et OPU (Alger). 
  8. [ 8] K. Hrbacek, Non standard set theory, Am.Math.Month. vol 86 (1979) p. 659-677. Zbl0444.03038
  9. [9] Y. Peraire, La relation de proximité infinitésimale dans les espaces topologiques, actes du congrès de mathématique finitaire et analyse non standard de luminy 13-18 Mai 1985 (A paraitre). Zbl0686.54030
  10. [10] R. Lutz et M. Goze, Non standard analysis : a practical guide with applications. Lecture notes in math.Springer, n° 881. Zbl0506.03021MR643624
  11. [11] K. Yosida, Functional analysis. Springer-Verlag (1974). Zbl0286.46002MR350358
  12. [12] A.M. Fink, Almost periodic differential equations. Lecture notes in math.Springer, n° 377. Zbl0325.34039

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