Note 1 — INTRODUCTION.
W. M. (William Mitchell) Gillespie translation
The investigation of the mathematical phenomena of the laws of heat by Baron Fourier has led to the establishment, in an entirely direct manner, of Thermological equations. This great discovery tends to elevate our philosophical hopes as to the future extensions of the legitimate applications of mathematical analysis, and renders it proper, in the opinion of author, to regard Thermology as a third principal branch of concrete mathematics.