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  3. Vector calculus

Vector calculus

OpenStax OpenStax
@
Introduction
Vector fields
Line integrals
Conservative vector fields
1   Curves and regions
2   Fundamental theorem for line integrals
3   Proof
4   Proof
5   Proof
6   Conservative vector fields and potential functions
7   Testing a vector field
8   Key concepts
9   Key equations
Green’s theorem
1   Extending the fundamental theorem of calculus
2   Circulation form of green’s theorem
3   Proof
4   Flux form of green’s theorem
5   Proof
6   Green’s theorem on general regions
7   Key concepts
8   Key equations
Divergence and curl
Surface integrals
Stokes’ theorem
The divergence theorem

Source:  OpenStax, Calculus volume 3. OpenStax CNX. Feb 05, 2016 Download for free at http://legacy.cnx.org/content/col11966/1.2
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