Constantin Caratheodory and the axiomatic thermodynamics

The birth, raise, development and fortunes of a fundamental theory in thermodynamics, the axiomatic thermodynamics, a creation of Constantin Caratheodory, is thoroughly presented together with a summary of Caratheodory's biogaphy. Axiomatic thermodynamics is centered around some interesting properties of Pfaffian differential equations, which are here introduced and used for some well-known cases in thermodynamics.