Pages similar to: The idea of the divergence of a vector field
- Subtleties about divergence
Counterexamples illustrating how the divergence of a vector field may differ from the intuitive appearance of the expansion of a vector field. - Divergence and curl notation
Different ways to denote divergence and curl. - Divergence and curl example
An example problem of calculating the divergence and curl of a vector field. - The idea of the curl of a vector field
Intuitive introduction to the curl of a vector field. Interactive graphics illustrate basic concepts. - Subtleties about curl
Counterexamples illustrating how the curl of a vector field may differ from the intuitive appearance of a vector field's circulation. - The components of the curl
Illustration of the meaning behind the components of the curl. - Vector field overview
An overview introducing the basic concept of vector fields in two or three dimensions. - Vector fields as fluid flow
Interpretation of vector fields as velocity fields of fluids. - The idea behind the divergence theorem
Introduction to divergence theorem (also called Gauss's theorem), based on the intuition of expanding gas.