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POISSON,Siméon-Denis. Théorie mathématique de la chaleur.
[relié à la suite : Mémoire et notes formant un supplément. 

Paris, Bachelier, 1835-1837.

Deux parties reliées en un volume in quarto (257x194 mm), (6)-352 pages et une planche dépliante / (4)-72 pages.  reliure : Plein veau vert de l'époque, médaillon doré au centre des plats. Quelques rousseurs sans gravité. Reliure légèrement frottée, dos passé.

Rare édition originale bien complète du supplément.
Dans cet ouvrage, Poisson formule les équations pour la distribution de la chaleur dans les corps, en particulier l’équation de la chaleur (formule 8, p. 92) avec une conductibilité variable en fonction de la température.
L’«équation de la chaleur», trouvée par Fourier, apparaît alors comme un cas particulier de cette équation générale.
À la page 98 on lit, pour la première fois, le mot de «conductibilité
».

références: Bibliotheca Mechanica [pp. 260/261 : ""This is the first edition of an important work in which Poission formulates equations for the distribution of heat in bodies. As opposed to Fourier, who maintained in his 'Mémoire analytique de la chaleur' that the conductibility of heat was contained in the motion of flux, Poisson showed that it must be derived from an absorptive coefficient restoring the neglected functionall dimension.
Following his preliminary notes, Poisson devotes chapters to the laws of radiating heat, laws of cooling for bodies which have the same temperature at all points, the movement of heat in the interior of solid bodies or liquids, movement of heat to the surface of a body of any form, digression on the integrales of equations with partial differences, and a digression on the manner of expressing arbitrary functions by series of periodic quantities followed by a continuation of the same digression. Additional chapters are devoted to the distribution of heat in a bar whose transversal dimensions are very small, distribution of heat in spherical bodies and distribution of heat in various bodies, especially in a homogenous sphere originally warned in any manner, and the movement of heat in the interior and at the surface of the earth. He concludes with a series of three notes, the first relative to the equation of movement for heat at the interior of bodies, the second on molecular radiation, and the third relating to section 152 of the text. First separate appearance of the supplement which consists of a memoir read to the Academy of Science, to which have been joined some notes developing certain points in the memoir, principally relating to the temperatures of the globe and of space at different epochs"].

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