This might be relevant -
https://physics.stackexchange.com/questions/32296/introduction-to-differential-forms-in-thermodynamics
If you find anything of interest in the link you should check it out
with someone in the math department. The limit to my knowledge of
differential forms is that dx is an element in the dual space. If we
are in (x,y,z) space then dx is a linear mapping from (x,y,z) to the
reals and dx(x,y,z) = x, dy(x,y,z) = y, and dz(x,y,z) = z.
On 4/19/22 12:54 PM, Jonathan Gutow wrote:
Alan,
I have thought about this a little too. I have not had time to work on
it recently. The issue I ran into is that to make this work well in
SymPy you really need the concept of an infinitesimal dx, dy, dz, etc.
Things got circular when I tried to implement that using the sympy
definition of functions. It might be worth comparing notes. I would
really like to be able to work with total differentials and do
integrations on expressions containing infinitesimals in the Leibniz
style notation.
Jonathan
On Apr 19, 2022, at 10:24 AM, Alan Bromborsky <abrombo...@gmail.com>
wrote:
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I am working on a linear differential operator class for sympy
(Dop.py). Here is a Jupyter notebook with a simple example -
<sdop_test.jpg>
Note that lap*f gives a function but f*lap gives differential operator.
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