[<<][math][>>][..]Fri Apr 9 20:03:34 EDT 2010

In the video[1] Arnold's book[3] is mentioned two times (and that he's a SOB). Sussman doesn't like the ambiguous notation. Arnold[3] p246: (not breaking with tradition and explaining what the Langrange equations mean) and p258: ``It is necessary to use the apparatus of partial derivatives, in which even the notation is ambiguous.'' Sussman uses the notation based on Spivak's Calculus on Manifolds[5] which handles it properly: partial differentials expressed in terms of position of parameter instead of names that can have different meanings (parameters or functions). See p.44 at the end of the chapter about differentiation[6]. His point: programming forces one to be precise and formal without being excessively rigorous. [1] http://video.google.com/videoplay?docid=-2726904509434151616&hl=en# [2] http://mitpress.mit.edu/sicm/ [3] isbn://0387968903 [4] http://www.docin.com/p-708956.html [5] http://en.wikipedia.org/wiki/Calculus_on_Manifolds_(book) [6] http://books.google.com/books?id=POIJJJcCyUkC&pg=PA44#v=onepage&q&f=false

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