Oliver Dimon Kellogg était un mathématicien américain reconnu pour ses contributions significatives à la théorie du potentiel. Ce domaine a constitué la base de ses recherches doctorales et de son influent manuel de 1929. En collaboration avec George David Birkhoff, il a étendu le théorème du point fixe de Brouwer, menant au développement du théorème de 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.