Surprise? Entropy changes for systems in a canonical state

[maajdl]

Every year since the 90's I come back to some of my pet topics in physics, like statistical physics.
This time it was the reading of a Wikipedia article on entropy that surprised me.
The derivation of the second law from the Gibbs entropy was unknown to me.
I didn't know how heat, how change of internal energy, and how work can be identified from the equations below:

or

Not only is this derivation very simple but it also clarifies the meaning of heat and work from a statistical point of view.

I would like to know:

- if you were aware of this argument
- when/how you learned it
- how far it could be traced back in time (Gibbs maybe)
- if you know other references that mention this argument and discuss it further

Thanks to share

 

[DrDu]

Jaynes, 1957:
https://theorie.physnet.uni-hamburg.de/group_vts/vthermo0607/theory1.pdf