Fractals, chaos, power laws : minutes from an infinite paradise /
Manfred Schroeder.
- New York : W.H. Freeman, 1991.
- xviii, 429 p., [8] p. of plates : ill. (some col.) ; 25 cm.
Includes bibliographical references (pages 395-410) and indexes.
Introduction -- Similarity and dissimilarity -- Self similarity - discrete, continuous, strict and otherwise -- Power laws: endless sources of self-similarity -- Noises: white, pink, brown and black -- Brownian motion, gambling losses and intergalactic voids: random fractals par excellence -- Cantor sets: self-similarity and arithmetic dust -- Fractals in higher dimensions and a digital sundial -- Multifractals: intimately intertwined fractals -- Some practical fractals and their measurement -- Iteration, strange mappings and a billion digits for PI -- A self-similar sequence, the logistic parabola and symbolic dynamics -- A forbidden symmetry, Fibonacci's rabbits and a new state of matter -- Periodic and quasiperiodic structures in space -- the route to spatial chaos -- Percolation: from forest fires to epidemics -- Phase transitions and renormalization -- Cellular automata.