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Oliver Dimon Kellogg

    Oliver Dimon Kellogg bol americký matematik známy svojou prácou v oblasti teórie potenciálu. Táto oblasť bola predmetom jeho dizertačnej práce aj jeho slávnej učebnice z roku 1929. V roku 1922 zovšeobecnil s Georgeom Davidom Birkhoffom Brouwerovu vetu o pevnom bode na vetu Birkhoffa–Kellogga.

    Applications of the Calculus to Mechanics
    Foundations of Potential Theory
    • 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.

      Foundations of Potential Theory
    • Applications of the Calculus to Mechanics

      • 130 stránok
      • 5 hodin čítania

      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.

      Applications of the Calculus to Mechanics