A. Robinson, Non standard analysis. North Holland, 1966.

F. Bagarello and S. Valenti, Nonstandard analysis in classical physics and quantum formal scattering, International Journal of Theoretical Physics, vol.69, issue.5, pp.557-566, 1988.
DOI : 10.1007/BF00668838

F. Bagarello, Nonstandard variational calculus with applications to classical mechanics. I. An existence criterion, International Journal of Theoretical Physics, vol.38, issue.5, pp.1569-1592, 1999.
DOI : 10.1023/A:1026661620598

F. Bagarello, Nonstandard variational calculus with applications to classical mechanics. II. The inverse problem and more, International Journal of Theoretical Physics, vol.38, issue.5, pp.1593-1615, 1999.
DOI : 10.1023/A:1026613804668

R. Fittler, Asymptotic nonstandard quantum electrodynamics, Journal of Mathematical Physics, vol.34, issue.5, pp.1692-1724, 1993.
DOI : 10.1063/1.530184

E. Nelson, Internal set theory: A new approach to nonstandard analysis, Bulletin of the American Mathematical Society, vol.83, issue.6, 1977.
DOI : 10.1090/S0002-9904-1977-14398-X

E. Palmgren, A constructive approach to nonstandard analysis II, Report, vol.38, 1994.