The first English presentation of the so-called Caratheodory theorem, of Greek mathematician Constantin Caratheodory's 1908 mathematical derivation of the second law or of the proof of the existence of a state function of quantities of heat, as found in chapter form given by Indian-born American astrophysicist Subrahmanyan Chandrasekhar in 1939. [4] |

A more detailed statement is: [2]

“If a Pfaffian expression has the property that, in every neighborhood of a point P, there are points which cannot be connected to P along curves which satisfy the Pfaffian equation, dQ = 0, then the Pfaffian expression must admit an integrating denominator.”

History

The so-called theory of Caratheodory, as it was called was presented by Greek mathematician Constantin Caratheodory in his 1908 "Studies in the Foundation of Thermodynamics". [3]

The subject of the Caratheodory’s theorem, as it has since been called in thermodynamics, was first presented in English, in detail, in Indian-born American astrophysicist Subrahmanyan Chandrasekhar’s 1939 book

Soon thereafter, Caratheodory's mathematical version of the second law began to make its way into the various thermodynamics textbooks.

References

1. Achuthan, M. (2004).

2. Kirkwood, John G. and Oppenheim, Irwin. (1961).

3. Caratheodory, Constantin. (1908).

4. (a) Chandrasekhar, Subrahmanyan. (1939).

(b) Subrahmanyan Chandrasekhar – Wikipedia.

External links

● Caratheodory’s theorem (disambiguation) – Wikipedia.