Fields of Force

  • Oliver Dimon Kellogg
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (volume 31)


The next step in gaining an insight into the character of Newtonian attraction will be to think of the forces at all points of Space as a whole, rather than to fix attention on the forces at isolated points. When a force is defined at every point of Space, or at every point of a portion of Space, we have what is known as a field of force. Thus, an attracting body determines a field of force. Analytically, a force field amounts to three functions (the components of the force) of three variables (the coördinates of the point).


Vector Field Velocity Field Field Line Closed Surface Divergence Theorem 
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  1. Lagrange: Nouvelles recherches sur la nature et la propagation du son, Miscellanea Taurinensis, t. II, 1760—61Google Scholar
  2. Gauss: Theoria attractionis corporum sphaeroidicorum ellipticorum homogeneomm metkodo novo tractata, Commentationes societatis regiae scientiarum Gottingensis recentiores, Vol. II, 1813, 2—5Google Scholar

Copyright information

© Verlag Von Julius Springer 1929

Authors and Affiliations

  • Oliver Dimon Kellogg
    • 1
  1. 1.Mathematics in Harvard UniversityCambridgeUSA

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