What Are the Best Books to Learn About Fractals?

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Hi all.

Was hoping to get some good recommendations for texts on fractals, maybe starting with introductory texts moving on up to the more mathematically intense works.

I'm also following this thread: Topology-prerquisites, as I'll probably need to brush up a little.

Just for the record, I'm mathematically mature (got that from the aforementioned thread :wink:), just never got a chance to study those topics while in school.

Thanks a bunch!

NoSolution




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Thanks, DB. Much appreciated!NoSolution
 
Hello! There is a simple line in the textbook. If ##S## is a manifold, an injectively immersed submanifold ##M## of ##S## is embedded if and only if ##M## is locally closed in ##S##. Recall the definition. M is locally closed if for each point ##x\in M## there open ##U\subset S## such that ##M\cap U## is closed in ##U##. Embedding to injective immesion is simple. The opposite direction is hard. Suppose I have ##N## as source manifold and ##f:N\rightarrow S## is the injective...

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