Editing Nonstandard analysis (section)

== Robinson's book ==
Abraham Robinson's book ''Non-standard Analysis'' was published in 1966. Some of the topics developed in the book were already present in his 1961 article by the same title (Robinson 1961).<ref name="Robinson 1961">Robinson,  Abraham:  'Non-Standard  Analysis',  Kon.  Nederl.  Akad. 
Wetensch.  Amsterdam Proc. AM (=Indag. Math.  23), 1961, 432-440.</ref> In addition to containing the first full treatment of nonstandard analysis, the book contains a detailed historical section where Robinson challenges some of the received opinions on the [[history of mathematics]] based on the pre–nonstandard analysis perception of infinitesimals as inconsistent entities. Thus, Robinson challenges the idea that [[Augustin-Louis Cauchy]]'s "[[Cours d'Analyse#Sum theorem|sum theorem]]" in [[Cours d'Analyse]] concerning the convergence of a series of continuous functions was incorrect, and proposes an infinitesimal-based interpretation of its hypothesis that results in a correct theorem.