On exact and inexact differentials and applications

DOI10.1080/0020739X.2016.1241437zbMath1396.97021OpenAlexW2539138341MaRDI QIDQ4689568

L. A. B. Cortez, Edmundo Capelas de Oliveira

Publication date: 16 October 2018

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739x.2016.1241437

zbMATH Keywords

thermodynamicsequation of stateideal gasdifferentialsexact differentialsinexact differentials

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Continuity and differentiation questions (26B05) Functions of several variables (educational aspects) (97I60) Functional equations (educational aspects) (97I70)

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An elementary proof by contradiction of the exactness condition for first-order ordinary differential equations

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