Oliver Dimon Kellogg war ein amerikanischer Mathematiker, der für seine bedeutenden Beiträge zur Potentialtheorie bekannt ist. Dieses Feld bildete die Grundlage seiner Doktorarbeit und seines wegweisenden Lehrbuchs aus dem Jahr 1929. In Zusammenarbeit mit George David Birkhoff erweiterte er den Brouwerschen Fixpunktsatz, was zur Entwicklung des Birkhoff–Kellogg-Theorems führte.
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 edition.
A classic text on the applications of calculus to mechanics, this book presents the fundamental principles of classical physics and their mathematical expressions in a clear and comprehensive manner. With numerous examples and exercises, it offers a rigorous and intuitive introduction to the calculus of variations and the dynamics of particles and systems, and provides a solid foundation for further study in physics, engineering, and related fields.