J. B. Marion and S. T. Thornton, “Classical Dynamics of Particles and Systems,” 4th Edition, Harcourt Brace & Co., USA, 1995.

has been cited by the following article:

• TITLE: Complementing the Lagrangian Density of the E. M. Field and the Surface Integral of the p-v Vector Product

  AUTHORS: Mirwais Rashid

  KEYWORDS: Electromagnetic Field, Parallel-Vertical Product, Surface Integral

  JOURNAL NAME: Applied Mathematics, Vol.2 No.2, February 25, 2011

  ABSTRACT: Considering the Lagrangian density of the electromagnetic field, a 4 × 4 transformation matrix is found which can be used to include two of the symmetrized Maxwell’s equations as one of the Euler-Lagrange equations of the complete Lagrangian density. The 4 × 4 transformation matrix introduces newly defined vector products. In a Theorem the surface integral of one of the newly defined vector products is shown to be reduced to a line integral.