Re: closed curve question

On Sat, 09 Jul 2005 16:32:01 +0200, Dave Eberly <dNOSPAMeberly@xxxxxxxxxxxxxxx> wrote:

Advanced calculus and topology, some algebraic geometry
is also useful.  The type and amount of mathematics to do
formal proofs for problems such as what you stated is usually
not what people interested in CG want to deal with.


"The mapping is necessarily a continuous
function."

This is probably the calculus part. I have never seen a calculus book dealing with linear (or any other) mappings. Also, I've always thought of the mappings as "vector functions", 3 functions in one notation.

"Continuous functions map connected sets to connected
sets and compact sets to compact sets."

And this is probably the topology part. Do there exist books tying calculus and topology together?
.

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