arrow_back There's a very nice article which discusses the background of nonstandard analysis, and explains how it is used, which was published a few years ago in the Mathematical Intelligencer. The reference for it is:

		The Infidel is Innocent, by Adrian Simpson
		Mathematical Intelligencer, pp 43---51
		vol 12, number 3, 1990
		

In fact, this article goes beyond explaining nonstandard analysis, and makes a case for saying it's the real way analysis should be done.

By the way, if the title intrigues you, it's a reference to Bishop Berkeley's attack on the standards of proof in the the natural sciences which was mentioned earlier: The Analyst