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JOURNALS // Trudy Moskovskogo Matematicheskogo Obshchestva // Archive

Tr. Mosk. Mat. Obs., 2023 Volume 84, Issue 1, Pages 1–24 (Mi mmo679)

Some mathematical aspects of thermodynamics

V. A. Zorich

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Here we consider and connect some facts related to thermodynamics, known to physicists and mathematicians separately. We recall the connection between classical thermodynamics and the geometry of distributions, and of statistical thermodynamics with multidimensional geometry. We recall something about the specific properties of functions of very many variables and demonstrate how these properties are realized in physical phenomena.

UDC: 536

MSC: 80A05

Received: 24.09.2022
Revised: 11.05.2023


 English version:
Transactions of the Moscow Mathematical Society, 2023, 84, 1–19


© Steklov Math. Inst. of RAS, 2026