Learning entropy across thermodynamics, statistical mechanics and information theory

[Sepoy]

Perhaps aptly, the subject of entropy is a serious mess when one attempts to use Prof. Google to learn about it. There's just too many disparate concepts across too many different domains for me to be able to piece it all together.

With the baseline that I've learned the simplified thermodynamic concepts of entropy, could someone point me to a path for really mastering the rest?

I know this is likely to be a very long journey on my part. My estimate is 3-4 years of study so please do not hesitate to list more than a single text. Indeed, multiple texts (and a recommended order to tackle them) would be sincerely appreciated!

Thank you!

 

[vanhees71]

A. Katz, Principles of statistical mechanics
A. Hobson, Concepts of statistical mechanis

 

[Sepoy]

Thank you

 

[micromass]

If you're interested in the mathematical theory behind it: https://www.amazon.com/dp/0387951520/?tag=pfamazon01-20