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Science Forum Index » Nonlinear Science Forum » Non-Newtonian Calculus website: http://www.angelfire.com/ma4
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| Guest |
 Posted: Thu May 29, 2003 6:15 pm |
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That website presents a brief account of the non-Newtonian calculi,
which are markedly different from the classical calculus and provide a
wide variety of mathematical tools for use in the sciences and
engineering. Also discussed are seven publications on Non-Newtonian
Calculus and related matters. |
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| David Lloyd-Jones |
| Posted: Thu May 29, 2003 8:43 pm |
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smithpith@earthlink.net wrote:
Quote: That website presents a brief account of the non-Newtonian calculi,
The last time I looked, "calculi" were gallstones.
I think your website probably has calculuses.
-dlj. |
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| Gordon D. Pusch |
| Posted: Fri May 30, 2003 8:33 am |
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David Lloyd-Jones <dalj@rogers.com> writes:
Quote: smithpith@earthlink.net wrote:
That website presents a brief account of the non-Newtonian calculi,
The last time I looked, "calculi" were gallstones.
I think your website probably has calculuses.
Actually, all it appears to have is a brief "book jacket" type blurb,
and a bunch of glowing "book jacket" type recommendations for the author.
The page that _should_ have held the actual content merely says "Under
Construction"...
-- Gordon D. Pusch
perl -e '$_ = "gdpusch\@NO.xnet.SPAM.com\n"; s/NO\.//; s/SPAM\.//; print;' |
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| Christopher J. Henrich |
| Posted: Sun Jun 01, 2003 2:12 pm |
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In article <12b8d463.0305291615.612f745f@posting.google.com>,
<smithpith@earthlink.net> wrote:
Quote: That website presents a brief account of the non-Newtonian calculi,
which are markedly different from the classical calculus and provide a
wide variety of mathematical tools for use in the sciences and
engineering. Also discussed are seven publications on Non-Newtonian
Calculus and related matters.
Some thirty years ago, somebody published a little book titled
_Non-Newtonian Calculus_. It was impeccably printed from camera-ready
copy that had been neatly typed with an IBM Selectric typewriter.
Words were spelled correctly. Punctuation was correct. Sentences were
clear and grammatical.
I'm tempted to end this posting right here, hoping that someone will
reply, "Well what about the content?"
That's just it.
There was no content.
It was an extreme case of being "not even wrong."
Calculus deals with real-valued functions of real variables, and in
particular with the operations of integration and differentiation of
these functions. To get "non-Newtonian," as these authors would have
it, you apply a non-linear, but invertible, function to the dependent
of independent variable, do the operation of differentiation or
integration, and then apply the inverse.
For instance, instead of integrating f(x) from 0 to 1, you might
integrate the square of f(x) from 0 to 1 and then take the square root.
And that is all. Period. End of story.
Someone might say, "Well, that's the L^2 norm of f, it's a useful
concept; there are plenty of interesting things to say about the L^2
norm." Indeed there are, but Non-Newtonian Calculus does not say them.
I remember thinking that the authors abstained from interesting
mathematics as if they thought that interestingness was a sin.
--
Chris Henrich
(random phrase) |
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