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RE: [Axiom-math] Engineering Application
From: |
Herb Martin |
Subject: |
RE: [Axiom-math] Engineering Application |
Date: |
Mon, 23 Jan 2006 14:44:52 -0600 |
>Although the title of Penrose's book sounds overly grand, it is
>none the less a very serious book on differential geometry as
>applied to physics.
Yes, it is (overly grand), much like a "wagon
train scout" of the pioneer days pulling out
a many-times-folded map of the route from St.
Louis to California and spending an evening
showing the settlers the things they need to
know to prepare for the trip.
> I think your goal to better understand it is
> very laudable.
Or "overly grand". <grin> Thanks for the
encouragement -- it is much appreciated.
I have not yet reach page 200 and I have
already learned an amazing amount.
> If there is anything in particular in this book
> that you would like to discuss, I would be glad participate.
> Maybe we can do some examples using Axiom?
Please. I want to discuss everything, but I
am probably not smart enough yet to figure out
how to ask a good question.
So far, I have been trying to learn Axiom & Maxima
in parallel with reading this book and have only
worked out some simple problems (like imaginary roots
and some differentials.)
I am a bit embarrassed to admit that I don't
really understand how much of the work Axiom
can do, nor really what the full capabilities
of Axiom include.
Even before this book I had entertained the
belief that it might be possible to learn "a
lot of math" by following along through Calculus
and Differential Equations text -- learning to
the IDEAS, and letting the system do the tedious
portions.
This probably wouldn't be sufficient for a
serious mathematician or engineer, but for me
this is just a (serious) hobby.
Perhaps seeing how to use Axiom to graph a
conformal map, or to work through a Fourier
transform would be interesting BUT this is
merely the first thing that came to mind when
searching (desperately) for something to
request -- please substitute ANYTHING your
prefer and I will ask for something else as
soon as I have the prerequisites.
> I think it is entirely appropriate to discuss Macaulay here.
> In fact if there is continued interest, I would be very happy
> to look into providing a web interface for Macaulay at the
> Axiom Wiki, e.g.
I know even less of Macaulay, but believe that
would be useful, and it certainly would be very
gracious of you.
Please note, that I am NOT modest about my abilities
nor about my intelligence, and any seeming "false
modesty" above is in fact just reality: There is a
LOT of math covered in the book which I have not studied,
and even my Calculus and Diff Eq is rusty and spotty
in places.
Also: I have no particular preference for Maxima versus
Axiom, and so with your help I will focus more of my
attention on Axiom (and Macaulay2).
Both of these fine programs do more than I can currently
use.
Thanks,
--
Herb Martin