Foundations Of Potential Theory

Foundations of Potential Theory by Oliver Dimon Kellogg is a comprehensive and authoritative text on the mathematical theory of potentials. The book covers the fundamental concepts and principles of potential theory, including the Laplace equation, harmonic functions, Green's functions, and the maximum principle. It also explores the applications of potential theory in various fields, such as electrostatics, magnetostatics, fluid mechanics, and elasticity. The book is divided into three parts. Part I introduces the basic concepts and principles of potential theory, including the Laplace equation and its solutions, harmonic functions, and Green's functions. Part II explores the applications of potential theory in electrostatics, magnetostatics, and fluid mechanics. Part III covers more advanced topics, such as the Dirichlet problem, the Neumann problem, and the Riemann mapping theorem.Throughout the book, Kellogg provides clear and concise explanations of the mathematical concepts and their applications. The text is also richly illustrated with diagrams and figures to help readers visualize the concepts and principles. Foundations of Potential Theory is an essential reference for mathematicians, physicists, and engineers who work in the fields of potential theory, electrostatics, magnetostatics, fluid mechanics, and elasticity. It is also an excellent textbook for graduate students studying these subjects.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.