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Chapter 9: Derivatives of Vector Fields and the Gradient in Polar Coordinates

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We discuss how to compute the gradient in coordinate systems like polar coordinates in which we can define orthogonal basis vectors . We also define derivatives of vector fields, the divergence and curl, and discuss the problem of representing functions of several variables so they can be visualized.


9.1 Derivatives of Vector Functions; the Divergence

9.2 The Curl

9.3 Visualizing Functions of Two Variables

9.4 The Gradient in Polar Coodinates and other Orthogonal Coordinate Systems