16: Vector Calculus
- Page ID
- 4554
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- 16.8: Stokes' Theorem
- So far the only types of line integrals which we have discussed are those along curves in R2 . But the definitions and properties which were covered in Sections 4.1 and 4.2 can easily be extended to include functions of three variables, so that we can now discuss line integrals along curves in R3 .
- 16.9: The Divergence Theorem
- In this final section we will establish some relationships between the gradient, divergence and curl, and we will also introduce a new quantity called the Laplacian. We will then show how to write these quantities in cylindrical and spherical coordinates.