Non-nonstandard analysis: Real infinitesimals

Mathematical Intelligencer

Volumn 21, Issue 1, 1999, Pages 67-73

  Henle, J M ^a  

^a SMITH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033473402     PISSN: 03436993     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf03024834     Document Type: Review

References (14)

1. [A1] Archimedes, The Method of Archimedes, recently discovered by Heiberg, edited by Sir Thomas L. Heath, Cambridge, Cambridge University Press (1912).
2. [A2] Archimedes, "The quadrature of the parabola, in The Works of Archimedes, edited by Sir Thomas L. Heath, Cambridge: Cambridge University Press (1897).
3. [C] Chandler, G. H., Elements of the Infinitesimal Calculus, 3rd ed., New York: John Wiley & Sons (1907).
4. [Ch] Chwistek, L., The Limits of Science, Outline of Logic and Methodology of Science, Lwów-Warszawa: Ksiażnica-Atlas (1935).
5. [CH] Cohen, D., and Henle, J. M., Conversational Calculus, Reading, MA: Addison-Wesley/Longman (in press).
6. [Co] Conway, J. H., On Numbers and Games, New York: Academic Press (1976).
7. [He] Henle, J. M., Higher non-nonstandard analysis: Category and measure, preprint.
8. [HK] Henle, J. M., and Kleinberg, E. M., Infinitesimal Calculus, Cambridge, MA: M.I.T. Press, (1979).
9. [Hi] Hijab, O., Introduction to Calculus and Classical Analysis, New York: Springer-Verlag, (1997).
10. [K] Keisler, H. J., Elementary Calculus, An Infinitesimal Approach, 2nd ed., Boston: Prindle, Weber & Schmidt (1986).
11. [L1] Laugwitz, D., Anwendungen unendlich kleiner Zahlen I, J. Reine Angew. Math. 207 (1960), 53-60.
12. [L2] Laugwitz, D. Anwendungen unendlich kleiner Zahlen II, J. Reine Angew. Math. 208 (1961), 22-34.
13. [R] Robinson, A., Nonstandard Analysis, Amsterdam: North-Holland, (1966).
14. [SL] Schmieden, C., and Laugwitz, D., Eine Erweiterung der Infinitesimalrechnung, Math. Zeitschr. 69 (1958), 1-39.