Multiscale potential theory Book

A fractal is a mathematical set or object whose form is extremely irregular and/or fragmented at all scales. So reads Mandelbrot's definition of the term which he coined and widely popularised in his famous monographs. This volume presents the first systematic summary of the fractal models that have been proposed to explain the irregular features and phenomena of the Earth -- from meandering rivers and rugged coastlines to the pore space of reservoir sandstones and the prediction of earthquakes. No previous knowledge of fractals is assumed. Connections and analogies with other fields of natural and technical sciences (physics, biology, fractography, etc.) are always pointed out. More than 300 illustrations are included, demonstrating how fractal geometry reveals astonishing similarities between natural phenomena at widely different scales. The readership for this book is wide and includes: geological scientists, oceanographers, and meteorologists involved in describing and analysing irregular spatial data; as well as applied mathematicians, physicists and computer scientists looking for new fields of research.