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Synopsis
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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Book Description
First published in 1913, as the second edition of a 1905 original, this book is the first volume in the Cambridge Tracts in Mathematics and Mathematical Physics Series. The text provides a concise account regarding volume and surface integrals used in physics.
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Volume and Surface Integrals Used in Physics (Classic Reprint)
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Paperback. Condition: 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. Seller Inventory # 9780243270002_0
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Volume and Surface Integrals Used in Physics (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780243270002
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Volume and Surface Integrals Used in Physics (Classic Reprint)
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780243270002
Quantity: 15 available