Tangent Vectors and Vector Fields
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Differentiable Vector Field
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It is not generally the case that all components of a vector field are differentiable, but obviously it is convenient to restrict attention to those vector fields that are. When the components of a vector field are all differentiable, then it is called a differentiable vector field.
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Contents of
Tangent Vectors and Vector Fields
1 Properties of the line integral
2 Vector Field
3 Tangent Vectors
4 Tangent Space
5 Addition and Scalar Multiplication of Tangent Vectors
6 Vector Fields and Tangent Spaces
7 Vector field lines
8 Differentiable Vector Field
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