Fractal Geometry Textbooks for Physics Applications

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Mandelbrot's "Fractal Geometry of Nature" is considered accessible, prompting interest in more rigorous textbooks to deepen understanding. Recommendations include Kenneth Falconer's "Fractal Geometry: Mathematical Foundations and Applications," which is noted for its comprehensive coverage of the mathematical principles underlying fractals and their applications in physics. The discussion emphasizes the need for standard textbooks that provide a solid foundation in fractal geometry, highlighting the importance of bridging gaps in knowledge for those interested in the subject.
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I find Mandelbrot's Fractal Geometry of Nature relatively light reading, but am interested in a more standard textbook account to fill in my gaps in knowledge. Do people know of some good textbooks on the subjects - and other volumes relating to fractals and their application to physics.
 
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Kenneth Falconer

Fractal geometry- mathematical foundations and applications
 

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