Excerpt from Volume and Surface Integrals Used in Physics
It is practically certain that no substance can be subdivided without limit into small portions each of which possesses the gravitation property. There must be a stage of subdivision beyond which the component portions cease to have the properties of larger portions of the substance, and we may speak of the smallest portion of a substance that has the gravitation property as a 'particle' for purposes of the present discussion. What the order of magnitude of a particle may be it is difficult to guess, but the kind of generalisation from large bodies to small bodies which led to the conception of an element of mass suggests the possibility that the process of subdivision without loss of the gravitation property might be continued till we arrive at the molecule of Chemistry or Gas Theory. There is no experimental evidence to prohibit, and possibly some to justify our carrying the generalisation so far (provided we set some limit to the smallness of the distance at which the attraction of two particles is supposed to obey the law of the inverse square), and the great simplicity of the law thus obtained makes it an interesting one to study.
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Excerpt from Volume and Surface Integrals Used in Physics
It is practically certain that no substance can be subdivided without limit into small portions each of which possesses the gravitation property. There must be a stage of subdivision beyond which the component portions cease to have the properties of larger portions of the substance, and we may speak of the smallest portion of a substance that has the gravitation property as a 'particle' for purposes of the present discussion. What the order of magnitude of a particle may be it is difficult to guess, but the kind of generalisation from large bodies to small bodies which led to the conception of an element of mass suggests the possibility that the process of subdivision without loss of the gravitation property might be continued till we arrive at the molecule of Chemistry or Gas Theory. There is no experimental evidence to prohibit, and possibly some to justify our carrying the generalisation so far (provided we set some limit to the smallness of the distance at which the attraction of two particles is supposed to obey the law of the inverse square), and the great simplicity of the law thus obtained makes it an interesting one to study.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9780243270002
Cantidad disponible: 15 disponibles
Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book delves into volume and surface integrals, exploring their applications in physics, particularly potential theory. These integrals are mathematical tools used to calculate the potential and attraction of bodies with discontinuous structures, such as sand or granular matter. The author investigates the validity of these expressions when applied to bodies with discrete particles, considering the concept of density in continuous media and the physical implications of using volume integrals to represent the potential of such bodies. The book examines the convergence of volume integrals and discusses the limitations of using integrals to represent potentials and attractions at points within the gravitating body. It presents theorems connecting volume and surface integrals, and explores their application to potential theory. The author also examines the differentiation of volume integrals and its significance in potential theory. Through these explorations, the book provides valuable insights into the mathematical underpinnings of potential theory and its applications in physics, offering a deeper understanding of the behavior of bodies with discontinuous structures. 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. Nº de ref. del artículo: 9780243270002_0
Cantidad disponible: Más de 20 disponibles