(Parametric Surfaces) DIFFERENTIAL GEOMETRY,
(Parametric Surfaces). : (1) Write an essay answering these questions, using examples: What is a parametrized surface? How does one describe a surface this way, and why is it useful? What are the trade-offs? That is, how does studying parametrized surfaces simplify things, and what complications do we have to deal with? What is regularity in this context, and why is it important?
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