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Synopsis
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.
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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 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
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Volume and Surface Integrals Used in Physics (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780243270002
Quantity: 15 available