From: peasthope@shaw.ca
To: categories@mta.ca
Cc: peasthope@shaw.ca
Subject: Re: Finding the inverse of a function.
Date: Thu, 6 Oct 2011 08:24:41 -0800 [thread overview]
Message-ID: <E1RC9a9-0003QJ-2K@mlist.mta.ca> (raw)
> ... the function x sin(x), i think, ...
Correct.
> ... as studied by undergraduates in calculus I.
According to the course descriptions here at UBC, there is at least
a mention of series in first year courses. Fourier and other series
appear in 2nd & 3rd years.
> ... might be worth while to rework widder's book on transform theory
coalgebraically.
Engineer speaking. Mathematicians, don't be too critical.
What I recall from a brief study decades ago is that each of the
familiar series--Taylor, Laurent, Fourier & etc.--is based upon a
set of orthogonal functions. So I wondered whether the category of
sets of orthogonal functions has been thoroughly studied. Such a
study should show the necessity of infinite series to represent the
inverses of some functions. Wishful thinking?
Thanks, ... Peter E.
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next reply other threads:[~2011-10-06 16:24 UTC|newest]
Thread overview: 6+ messages / expand[flat|nested] mbox.gz Atom feed top
2011-10-06 16:24 peasthope [this message]
-- strict thread matches above, loose matches on Subject: below --
2011-10-06 22:32 peasthope
2011-09-16 16:42 peasthope
2011-09-20 17:55 ` Dusko Pavlovic
2011-09-21 13:02 ` Martin Escardo
[not found] ` <4E79E072.8050104@cs.bham.ac.uk>
2011-10-05 12:52 ` Dusko Pavlovic
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