Tangent Vectors and Vector Fields
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Properties of the line integral
Equations are omitted for technical reasons - download the original pdf
The line integral exhibits the usual properties of integrals; that is [Equation goes here - download the original pdf to see it.] And if C is subdivided into two curves [Equation goes here - download the original pdf to see it.] and the curves [Equation goes here - download the original pdf to see it.] have the same orientation as C , then [Equation goes here - download the original pdf to see it.]
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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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