The birth, raise, development and fortunes of a fundamental theory in therm
odynamics, the axiomatic thermodynamics, a creation of Constantin Caratheod
ory, is thoroughly presented together with a summary of Caratheodory's biog
aphy. Axiomatic thermodynamics is centered around some interesting properti
es of Pfaffian differential equations, which are here introduced and used f
or some well-known cases in thermodynamics.