We look at the 3D gradient field of a function w=f(x,y,z). Can we see anything inside about stationary points, extreme values, function growth? Great graphics with Mathematica - copy&paste: http://geogebrawiki.wikispaces.com/Gr...
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For fans of the sound of train wheels. View from the train window.
Gradient Fields - Introduction and Definition
1D Gradient Vector Field of Function y=f(x)
Ex 1: 2D Gradient Field - What do we see?
Ex 2: 2D Gradient Field - What do we see?
Ex 3: 2D Gradient Field - What do we see?
Ex 4: 2D Gradient Field - What do we see?
Vector Fields that are NOT Gradient Fields
3D Gradient Field - What do we see?