Foundations of Potential Theory

"Foundations of Potential Theory" is a seminal work in mathematical physics and mathematical analysis, offering a comprehensive and rigorous introduction to the study of potential functions. Written by Oliver Dimon Kellogg, this classic text systematically develops the principles governing gravitational, electrostatic, and magnetic forces through the lens of Newtonian potential.The work explores essential topics such as Laplace's equation, harmonic functions, and the properties of vector fields. Readers will find detailed treatments of the divergence theorem, surface integrals, and the fundamental existence theorems, including the Dirichlet problem. By emphasizing both the physical origins of these concepts and the mathematical rigor required to master them, Kellogg provides an enduring resource for students and scholars of mathematics and physics. Its clear exposition of boundary value problems and the behavior of potentials in different domains makes "Foundations of Potential Theory" an indispensable reference for understanding the mathematical underpinnings of classical physics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Pagina's: 398, Hardcover, Tradd Street Press