[HN Gopher] Nonstandard Analysis (1972)
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       Nonstandard Analysis (1972)
        
       Author : aragonite
       Score  : 9 points
       Date   : 2024-09-07 21:14 UTC (1 hours ago)
        
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       | bachmeier wrote:
       | IMO this is a good book on nonstandard analysis:
       | https://eml.berkeley.edu/~anderson/Book.pdf
       | 
       | Infinitesimal Methods in Mathematical Economics by Robert
       | Anderson, math and econ professor at Berkeley
        
       | Smaug123 wrote:
       | The best book I have read on nonstandard analysis is "Lectures on
       | the Hyperreals", by Goldblatt, which is _excellent_.
       | 
       | On the more practical end, Petry's "Analyse Infinitesimale: une
       | presentation non standard" is an extremely readable first-year-
       | undergrad level textbook that shows you how simple first-year
       | analysis is when approached this way (but it doesn't go much into
       | what it actually _is_ ).
       | 
       | (Of course, per Thomas Forster IIRC, the purpose of a first-year
       | course in real analysis is not actually to teach you about real
       | analysis; so in my view this rather defeats the point. First-year
       | real analysis is taught primarily to make sure you understand the
       | difference between "for all x there exists y" and "there exists x
       | such that for all y".)
        
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