First Principles of the Differential and Integral Calculus: Or the Doctrine of Fluxions (Classic Reprint)

Th following treatise, except the iD troduction and notes, is a translation of the Prindpes deC alcul qui servent dI ntroduction aux Sciences Physico-M athematiques of B6zout. It was selected on account of the plain and perspicuous manner for which the author is so well known, as also on account of its brevity and adaptation in other respects to the wants of those who have but little tinoie to devote to such studies. The easier and more important parts are distinguished from those which are more difficult or of less frequent use, by being printed in a larger character. In the I ntroduction, taken from Carnot sR efleonons sur laM etaphysique du Calcul I nfinitesimal, a few examples are given to show the truth of the infinitesimal method, independently of its technical form. Moreover in the 4th of the notes, subjoined at the end, some account is given from the same work, of the methods previously in use, analogous to the Infinitesimal A nalysis. The other notes are intended to supply the deficiencies of Lacroix sA lgebra (C ambridge Translation), considered as a preparatory work. Since this treatise was announced, the compiler of the Cambridge Mathematics has been obliged, on account of absence from the country and infirmity of sight, to resign his work into other hands. This circumstance is mentioned to account for the delay attending the publication, as well as the occasional want of conformity to other parts of the course in the mode of rendering certain words and phrases which a revision of the translation, had it been practicable, would have easily remedied. Cambridge, My,
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