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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Paperback. Zustand: New. Print on Demand. This book delves into the intriguing subject of infinitesimal calculus, which extends the concepts of calculus to include infinite processes and quantities. It explores the fundamental ideas of number, geometrical space, and motion, examining their properties and interrelationships. The author presents a detailed investigation into the science of motion, including statics, dynamics, and the motion of material particles, providing a comprehensive understanding of the principles underlying motion and its effects. By applying the language and symbols of infinitesimal calculus, the book captures the continuous development of effects produced by continuous causes, offering a powerful tool for expressing and analyzing these phenomena. The author's approach expands the traditional boundaries of mechanics, emphasizing the idea of motion as the science of change, and providing a fresh perspective on the subject. This book is essential reading for anyone seeking a deeper understanding of the principles of motion and their applications in various fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330348970_0
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