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The Logarithmic Potential: Discontinuous Dirichlet and Neumann Problems
Paperback
ISBN13: 9781025812366
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 160
Weight: 0.51
Height: 0.34 Width: 6.14 Depth: 9.21
Language: English
The Logarithmic Potential, Discontinuous Dirichlet and Neumann Problems is a foundational mathematical treatise by G. C. Evans that explores the core principles of potential theory and its application to complex boundary value problems. Developed during a pivotal era for mathematical analysis, this work provides a rigorous examination of the logarithmic potential in two dimensions, utilizing the tools of Lebesgue integration and the theory of functions of a real variable to address challenges in mathematical physics.
The text focuses on solving the Dirichlet and Neumann problems under conditions of discontinuity, a topic of significant importance for both theoretical research and applied mechanics. Evans provides a systematic treatment of harmonic functions, Green's functions, and the distribution of mass, offering clear derivations and logical proofs that helped shape modern functional analysis. By bridging the gap between classical potential theory and contemporary methods, Evans offers deep insights into integral equations and the behavior of physical potentials.
This volume is an essential reference for mathematicians and physicists interested in the historical development of analysis. It remains a valuable resource for understanding the evolution of boundary value problems and the enduring mathematical structures used to describe physical phenomena.
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.
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