- #1
rkaminski
- 11
- 0
My question is rather simple but it puzzles me for a long time actually. If we have a look at differential as physicists usually do we came up with a simple definition of "infinitesimal variable change". And this idea then preserves elsewhere like in the definition of entropy:
[itex]\mathrm{d} S = \frac{\mathrm{d} Q}{T}[/itex]
or in calculus (e.g. for differential questions etc.). On the other hand mathematicians define the differential as a function:
[itex]\mathrm{d} f (x_0) (h) = f'(x_0)h[/itex]
for a given [itex]h[/itex] and so on. The question is how to find a bridge between those two formulations.
Radek
[itex]\mathrm{d} S = \frac{\mathrm{d} Q}{T}[/itex]
or in calculus (e.g. for differential questions etc.). On the other hand mathematicians define the differential as a function:
[itex]\mathrm{d} f (x_0) (h) = f'(x_0)h[/itex]
for a given [itex]h[/itex] and so on. The question is how to find a bridge between those two formulations.
Radek