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83.02 Thermodynamic proofs and their history

Published online by Cambridge University Press:  01 August 2016

Michael A. B. Deakin
Michael A. B. Deakin*
Affiliation:
Mathematics Department, Monash University, Clayton, Vic 3168, Australia
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Information
The Mathematical Gazette , Volume 83 , Issue 496 , March 1999 , pp. 92 - 94
Copyright
Copyright © The Mathematical Association 1999

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References

1. Landsberg, P.T., Thermodynamics and statistical physics, OUP (1979).Google Scholar
2. Landsberg, P.T., A thermodynamic proof of the inequality between arithmetic and geometric means, Phys. Lett. 67A (1978) p. 1.Google Scholar
3. Landsberg, P.T., A generalised mean suggested by the equilibrium temperature, Phys. Lett. 78A (1980) pp. 29–30.Google Scholar
4. Landsberg, P.T., A generalized mean, J. Math. Anal. Appl. 76 (1980) pp. 209–212.Google Scholar
5. Abriata, J.P., Comment on a thermodynamic proof of the inequality between arithmetic and geometric means, Phys. Lett. 71A (1979) pp. 309–310.Google Scholar
6. Sidhu, S.S., On thermodynamic proofs of mathematical results, Phys. Lett. 76A (1980) pp. 107–108.CrossRefGoogle Scholar
7. Deakin, M.A.B. and Troup, G.J., The logical status of thermodynamic proofs of mathematical theorems, Phys. Lett. 83A (1981) p. 239.Google Scholar
8. Sommerfeld, A., Thermodynamics and statistical mechanics (Trans. Kestin, J.), Academic Press, New York (1964), German original 1952.Google Scholar
9. Tait, P.G., Physical proof that the geometric mean of any number of quantities is less than the arithmetic mean, Proc. Roy. Soc. Edin. 6 (1868/9) p. 309; reprinted in Scientific Papers, Vol. 1 (1898) p. 83.Google Scholar