On the foundations of thermodynamics

Arens, R.: J. Math. Anal. Appl. 6 (1963), 207.
Article MathSciNet Google Scholar
Basarov, J.P.: Thermodynamik, VEB Deutscher Verlag der Wissenschaften, Berlin 1974.
Google Scholar
Bernstein, B.: J. Math. Phys. 1 (1960), 222.
Article Google Scholar
Bleuler, K.: Reports on Math. Phys. 12 (1977), 395.
Article MathSciNet Google Scholar
Born, M.: Ausgewählte Abhandlungen 1, Vandenhoeck & Ruprecht, Göttingen 1963.
MATH Google Scholar
Buchdahl, H.A.: Am. J. Phys. 17 (1949), 41.
Article MathSciNet Google Scholar
Buchdahl, H.A.: Am. J. Phys. 17 (1949), 212.
Article MathSciNet Google Scholar
Budde, E.: Wied. Ann. 45 (1892), 751.
Article Google Scholar
Carathéodory, C.: Gesammelte mathematische Schriften 2, C.H. Beck, München 1955.
Google Scholar
Clausius, R.: Die mechanische Wärmetheorie, Vieweg, Braunschweig 1876.
MATH Google Scholar
Chow, W.L.: Math. Ann. 117 (1940), 98.
Article Google Scholar
Eisenschitz, R.: Sci. Progr. 43 (1955), 246.
Google Scholar
Flanders, H.: Bull. Amer. Math. Soc. 1 (1979), 944.
Article MathSciNet Google Scholar
Fleming, W.: Functions of several variables, Springer, New York-Heidelberg-Berlin 1977.
Book MATH Google Scholar
Finkelstein, R.J.: Thermodynamics and statistical physics, W.H. Freeman, San Francisco 1969.
Google Scholar
Hermann, R.: Differential geometry and the calculus of variations, Academic Press, New York 1968.
MATH Google Scholar
Jauch, J.M.: Found. Phys. 2 (1972), 327.
Article Google Scholar
Jauch, J.M.: Found. Phys. 5 (1975), 111.
Article MathSciNet Google Scholar
Kirchhart, K.J. und Walter, J.: Eine elementare Studie über die Sätze von Carathéodory, Chow und Frobenius in der Thermodynamik, Institut für Mathematik der RWTH Aachen 1982.
Google Scholar
Landsberg, P.T.: Nature 201 (1964), 485.
Article Google Scholar
Leontowitsch, M.A.: Einführung in die Thermodynamik, Deutscher Verlag der Wissenschaften, Berlin 1953.
MATH Google Scholar
Mrugala, R.: Reports on Math. Phys. 14 (1978), 419.
Article Google Scholar
Planck, M.: Physikalische Abhandlungen und Vorträge 2, Vieweg, Braunschweig 1958.
MATH Google Scholar
Petrovski, J.G.: Ordinary differential equations, Prentice-Hall, Inc., Englewood Cliffs (N.J.) 1966.
Google Scholar
Sneddon, I.N.: Elements of partial differential equations, McGraw-Hill, New York-Toronto-London 1957.
MATH Google Scholar
Stepanov, W.W.: Lehrbuch der Differentialgleichungen, VEB Deutscher Verlag der Wissenschaften, Berlin 1956.
MATH Google Scholar
Turner, L.A.: Am. J. Phys. 28 (1960), 781.
Article Google Scholar
Waals, J.D. van der: Lehrbuch der Thermostatik, J.A. Barth, Leipzig 1927.
MATH Google Scholar
Walter, J.: J. Math. Anal. Appl. 59 (1977), 587.
Article MathSciNet Google Scholar
Walter, J.: Proc. Royal Soc. Edingburgh 82 A (1978), 87 (cf. also Autorreferat in Zentralblatt f. Mathematik 395 (1979) 35074).
Article Google Scholar
Westenholz, C. von: Differential forms in mathematical physics, North-Holland, Amsterdam 1978.
MATH Google Scholar
Zemanski, M.W.: Am. J. Phys. 34 (1966), 914.
Article Google Scholar

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Johann Walter
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W.N. Everitt B.D. Sleeman

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Walter, J. (1982). On the foundations of thermodynamics. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065041

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DOI: https://doi.org/10.1007/BFb0065041
Published: 26 August 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11968-5
Online ISBN: 978-3-540-39561-4
eBook Packages: Springer Book Archive

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