In the words of B. B. Mandelbrot's contribution to this important collection of original papers, fractal geometry is a "new geometric language, which is geared towards the study of diverse aspects of diverse objects, either mathematical or natural, that are not smooth, but rough and fragmented to the same degree at all scales." This book will be of interest to all physical and biological scientists studying these phenomena. It is based on a Royal Society discussion meeting held in 1988.
Originally published in 1990.
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*FrontMatter, pg. i*Contents, pg. 1*Fractal geometry: what is it, and
what does it do ?, pg. 3*Fractals, phase transitions and criticality, pg.
17*Fractals and phase separation, pg. 35*Experiments on the structure and
vibrations of fractal solids, pg. 55*Universality of fractal aggregates as
probed by light scattering, pg. 71*Light-scattering studies of aggregation,
pg. 89*Time-series analysis, pg. 103*Diffusion-controlled growth, pg.
123*Diffusion-limited aggregation, pg. 133*Electrodeposition in support:
concentration gradients, an ohmic model and the genesis of branching
fractals, pg. 149*Flow through porous media: limits of fractal patterns, pg.
159*Fractal BET and FHH theories of adsorption: a comparative study, pg.
169*Reactions in and on fractal media, pg. 189