University Mathematics Handbook (2015)

IX. Vector Analysis

Chapter 8. Vector Field

a.  If in every point on body vector

is defined, then

is called a vector field above .

b.  Planar vector field .

c.  For every scalar field there is a corresponding vector field which is gradient :

d.  The expression is called the divergent of vector field , and is denoted .

e.  Vector

is called the rotor of vector field

and is denoted . Using operator , we write

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