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Welcome to my blog, which was once a mailing list of the same name and is still generated by mail. Please reply via the "comment" links.

Always interested in offers/projects/new ideas. Eclectic experience in fields like: numerical computing; Python web; Java enterprise; functional languages; GPGPU; SQL databases; etc. Based in Santiago, Chile; telecommute worldwide. CV; email.

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Nonstandard Analysis and the Hyperreals

From: "andrew cooke" <andrew@...>

Date: Thu, 16 Feb 2006 12:01:17 -0300 (CLST)

[... usual history of infintesimals]

  ... until 1966. That was the year that Abraham Robinson published his
  work Non-standard Analysis. In his preface he writes:

    In the fall of 1960 it occurred to me that the concepts and methods
    of contemporary Mathematical Logic are capable of providing a suitable
    framework for the development of the Differential and Integral
    Calculus by means of infinitely small and infinitely large numbers.

  This framework is probably a new development in logic and set theory.
  Below I will try to briefly outline his development of calculus with
  infinitely large and small quantities.

http://mathforum.org/dr.math/faq/analysis_hyperreals.html

Nicely written (for the general public).

Andrew

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