I was wondering if anyone knew of any good resources to find out about the maths behind fractals - not just how to make them. I tried searching the internet but all of what I returned was irrelavent, and, schools in Britain being what they are my maths teacher is incredibly overworked but she did like Caedes.net. Yay! another convert.
"The whole problem with the world is that fools and fanatics are always so certain of themselves, but wiser people so full of doubts." Bertrand Russell
LOL! Decided to peek in on one of these discussions. No question, the math behind fractals is very complex. I'm in awe of the people who come up with these formulas...Not my forte, I'm afraid. <G>
Wendy
"Chaos and Fractals, the Mathematics Behind the Computer Graphics" by the American Mathematical Society, Vol 39. ISBN 0-8218-0137-6
It breaks down a lot of the common formulas and explains what's going on in fractals from a mathematical approach. Decent amount of illustrations, both color and b/w, plus a lot of math formulas written down and covered, sometimes in 3d drawings to explain them better.
A background in math helps because parts of it are technical in approach.
"Basically, any graph of a chaotic process is
likely to be a fractal, and every fractal is the graph of some chaotic
process." - The definition of a fractal, from the above link.
The math behind fractals makes my brain hurt. To many imaginary numbers. I think I'd like to take an Advanced Calculus class before I tried tackling those again...