A Treatise on Infinitesimal Calculus, Vol. 3: Containing Differential and Integral Calculus, of Variations, Applications to Algebra and Geometry, and Analytical Mechanics (Classic Reprint) - Softcover

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Excerpt from A Treatise on Infinitesimal Calculus, Vol. 3: Containing Differential and Integral Calculus, of Variations, Applications to Algebra and Geometry, and Analytical Mechanics

Chapter I is introductory to the whole of this part of the Treatise on Infinitesimal Calculus. It seemed desirable to explain as accurately as possible the relation between applied Mathematics, as some parts of the subject are called, and the sciences of number and geometrical space; and so I have eu tered on a discussion of one or two salient points of the subject With the object of shewing that an exact knowledge of Mathematics is necessary for the complete inquiry into such sciences. I have also ventured to submit to the common judgment of Mathematicians the statement, that Mechanics, enlarged in its idea and principles, as I have at tempted to enlarge it, is nothing else than the science of motion, and ought, as such, to be called by that name. Thus there are three principal ma thematical sciences, those viz. Of number, space, and motion: the last of Which it has been my purpose to develope in the following pages.

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