Exploring 3c 16 5 Part 4
Exploring 3c 16 5 Part 4 reveals several interesting facts.
- We look at curl of an inverse square field in 3-space and then talk a little about some topics your book includes in section 16.5 that ...
- We prove that inverse square fields are conservative (true in n-space; we prove it in 2-space) and talk a little about flow lines.
- Some definitions: simple curves, closed curves, simple closed curves, and simply connected regions.
In-Depth Information on 3c 16 5 Part 4
We calculate the divergence of an inverse square field. Neat trick! Using Green's theorem to find area by evaluating a line integral! A brief discussion of how the chain rule results in a dot product, and how this generalizes. I reference a handout available on ... Parametrizing cylindrical surfaces and surfaces of revolution.
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