Foundations of Potential Theory

by Oliver Dimon Kellogg, R. Courant (Editor)

Overview

Introduction to fundamentals of potential functions covers: the force of gravity, fields of force, potentials, harmonic functions, electric images and Green's function, sequences of harmonic functions, fundamental existence theorems, the logarithmic potential and much more. Detailed proofs rigorously worked out. 1929 ed.

Product Details

ISBN-13:	9783642889950
Publisher:	Springer Berlin Heidelberg
Publication date:	01/01/1929
Series:	Grundlehren der mathematischen Wissenschaften , #31
Edition description:	Softcover reprint of the original 1st ed. 1929
Pages:	384
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

I The Force of Gravity.- II Fields of Force.- III The Potential.- IV The Divergence Theorem..- V. Properties of Newtonian Potentials at Points of Free Space.- VI. Properties of Newtonian Potentials at Points Occupied by Masses.- VII. Potentials as Solutions of Laplace’s Equation; Electrostatics.- VIII Harmonie Functions.- IX Electric Images; Green’s Function.- X Sequences of Harmonie Functions.- XI Fundamental Existence Theorems..- XII The Logarithmic Potential.- Bibliographical Notes.