REFERENCES
- S. Abbott, Understanding Analysis, Springer, New York, 2001.
- E. Bishop, “Review: H. Jerome Keisler, Elementary Calculus”, Bull. Amer. Math. Soc. 83 (1977) 205–208. available at http://dx.doi.org/10.1090/S0002-9904-1977-14264-X.
- E. Bishop, D. Bridges, Constructive Analysis, Springer-Verlag, New York, 1985.
- T. Dray, C. Manogue, “Putting Differentials Back into Calculus,” College Math. J. 41 (2010) 90–100.
- J. M. Henle, “Non-nonstandard analysis: real infinitesimals,” The Mathematical Intelligencer, 21(1) (1999) 67–73, available at http://dx.doi.org/10.1007/BF03024834.
- J. M. Henle and E. M. Kleinberg, Infinitesimal Calculus, M.I.T. Press, Cambridge, MA, 1979.
- M. Henle, Which Numbers Are Real?, Mathematical Association of America, Washington, DC, 2012.
- J. Keisler, Elementary Calculus, An Infinitesimal Approach, Prindle, Weber, and Schmidt, Boston, 1976, 1986, and Dover, Minneola, NY, 2012.
- Nonstandard Analysis for the Working Mathematician, Edited by P. Loeb and Manfred Wolff. Klewer Academic, Norwell, MA, 2000.
- E. Palmgren, “A constructive approach to nonstandard analysis”, Ann. of Pure and Applied Logic, 73 (1995) 297–325.
- A. Robinson, Non-Standard Analysis, North-Holland, Amsterdam, 1966.
- G. F. Simmons, Introduction to Topology and Modern Analysis, Krieger Publishing, Malabar, FL, 2003.
- T. Tao, What's New, available at http://terrytao.wordpress.com/2012/04/02/a-cheap-version-of-nonstandard-analysis/.
- Wikipedia Commons, Constructivism, Wikipedia, The Free Encyclopedia, available at http://en.wikipedia.org/wiki/Constructivism_(mathematics).
- Wikipedia Commons, Non-standard analysis, Wikipedia, The Free Encyclopedia, available at http://en.wikipedia.org/wiki/Non-standard_analysis.