Fractals: Form, Chance and Dimension

Discover the Hidden Mathematics of Modern GeometryFractals, the never-ending geometric-mathematical patternsexisting throughout nature, are revealed in the shapes ofcontinents, galaxies, snowflakes, and grains of sand. In thisfascinating and seminal volume, renowned pioneering-mathematicianBenoit B. Mandelbrot explains his work on fractal geometry,mathematically translating the description of these complex shapesof nature.Until Mandelbrot developed the concept of fractal geometry inthe 1960s and 70s, most mathematicians believed these irregularshapes were too fragmented and amorphous to be describedmathematically. Mandelbrot's revolutionary concept brought order toa variety of seemingly unsolvable problems in physics, biology, andfinancial markets.Broad in application, this groundbreaking work will inform notjust mathematicians, but anyone that appreciates the naturalelegance of patterns made manifest. Featuring illustrations ofmathematically defined shapes, Mandelbrot describes how geometricpatterns relate to every aspect of the physical world aroundus.