Oliver Dimon Kellogg è stato un matematico americano riconosciuto per i suoi significativi contributi alla teoria del potenziale. Questo campo costituì la base della sua ricerca di dottorato e del suo influente libro di testo del 1929. In collaborazione con George David Birkhoff, estese il teorema del punto fisso di Brouwer, portando allo sviluppo del teorema di Birkhoff-Kellogg.
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.