Subjects / Fractal geometry

Best books to learn Fractal geometry, in order

Fractal geometry has two almost separate literatures, and reading them in the wrong order is why people bounce off it. One is popular and pictorial, built around the Mandelbrot set and the phrase 'self-similarity'; the other is real analysis, built on Hausdorff measure and dimension, and it assumes metric spaces and measure theory.

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Reading paths for fractal geometry

Popular fractal geometry books

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Frequently asked questions

How should I approach learning fractal geometry?
Fractal geometry has two almost separate literatures, and reading them in the wrong order is why people bounce off it. One is popular and pictorial, built around the Mandelbrot set and the phrase 'self-similarity'; the other is real analysis, built on Hausdorff measure and dimension, and it assumes metric spaces and measure theory.
What's a good book to start fractal geometry with?
A strong starting point is Fractals Everywhere by Michael F. Barnsley. The ordered reading paths above show exactly where it fits and what to read next.
What should I read after fractal geometry?
Once you have the fundamentals, explore closely related subjects like Algebraic geometry.

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