The Divergence of a Vector Field DOWNLOAD FREE

Invariance of divergence It can be shown that the divergence of a vector function does not depend on the orientation of the Cartesian coordinates. In other words, if the point [Equation goes here - download the original pdf to see it.] is represented by another Cartesian coordinate system [Equation goes here - download the original pdf to see it.] , with a corresponding alteration in the representation of v [Equation goes here - download the original pdf to see it.] then [Equation goes here - download the original pdf to see it.] The proof requires techniques as yet not introduced at this level.

Contents of The Divergence of a Vector Field 1 The divergence of a vector field 2 Invariance of divergence 3 The divergence and the Laplacian 4 Continuity equation of a compressible fluid flow

Related articles: (1) Introduction to Potential Theory and Laplace's Equation, (2) The Curl of a Vector Field