Math Insight

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.

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