Literature to learn thermodynamics coming from a statistical physics background

Question

I would like to read a book which rigorously defines what in applied thermodynamics is called "heat" and gives a proper derivation of the laws of thermodynamics from quantum statistics and the principle of Von Neumann entropy maximization.
I do not want a book which covers thermodynamics and then a bit of statistical physics, but the other way around. It should be on the same level of rigor as for example a graduate course on quantum mechanics would be.

Arnold Neumaier · Answer

Part II of my online book
A. Neumaier and D. Westra, Classical and Quantum Mechanics via Lie algebras (2011 version)
does precisely that. While it starts off with a chapter giving an axiomatic treatment of phenomenological thermodynamic, the next three chapters rederive all formulas (including the three laws of thermodynamics) in a rigorous way from quantum statistical mechanics, with properly formulated theorems and proofs.
As background one needs a good knowledge of linear algebra and of linear operators in Hilbert spaces, and a basic understanding of quantum mechanics. All statistical mechanics needed is developed from scratch.

Literature to learn thermodynamics coming from a statistical physics background

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