Fractals, chaos, power laws minutes from an infinite paradise - Schroeder, Manfred (Manfred Robert) 1926- (New York W.H.Freeman and Company, 1991)
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.
Includes bibliographical references (pages [395]-410) and indexes.
Keywords: Symmetry (Physics)