Oliver Dimon Kellogg byl americký matematik známý svou prací v oblasti teorie potenciálu. Tato oblast byla předmětem jeho dizertační práce i jeho slavné učebnice z roku 1929. V roce 1922 zobecnil s Georgem Davidem Birkhoffem Brouwerovu větu o pevném bodě na větu Birkhoffa–Kellogga.
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.