What is the best book to learn about fractals? I am a total beginner, so the book should really start with basics and then introduce me to complex math, gradually.
Any suggestions?
What is the best book to learn about fractals? I am a total beginner, so the book should really start with basics and then introduce me to complex math, gradually. Any suggestions? 


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Falconer "The Geometry of Fractal Sets" is a very nice and readable beginning book. As to why one should bother study fractals (Kevin's comment): is the fact they look attractive not enough? If not, then remember that the sets of nonintegral dimension do occur in other branches of mathematics. Some physical systems exhibit strange attractors. Mathematical fields like holomorphic dynamics are rich, and beautiful, and like all other parts of mathematics is often studied for richness alone, nevermind the applications. What other reason one needs? 


This page might help you. It has many links to books about fractals and by buying books on Amazon.com using those links you'll be also supporting the person that posted the links on the website. 

