La Geometría Fractal de la Naturaleza (The Fractal Geometry of Nature) - MANDELBROT
Hola Taringueros, hoy he encontrado este libro de Benoit Mandelbrot, sobre la aplicación de los fractales en la naturaleza y como las funciones matemáticas pueden generar aplicaciones vivas que encontramos todos los días alrededor del mundo. Desafortunadamente para algunos EL LIBRO SE ENCUENTRA EN INGLÉS, pero lo subo a mediafire porque no lo encuentro en T! y pienso que puede ser útil para muchos.
Breve Biografía de Benoit Mandelbrot:
Benoît Mandelbrot (Varsovia, Polonia, 20 de noviembre de 1924 – Cambridge, Estados Unidos, 14 de octubre de 2010 ) fue un matemático conocido por sus trabajos sobre los fractales. Es considerado el principal responsable del auge de este dominio de las matemáticas desde el inicio de los años setenta, y del interés creciente del público. En efecto, supo utilizar la herramienta que se estaba popularizando en ésta época - el ordenador - para trazar los más conocidos ejemplos de geometría fractal: el conjunto de Mandelbrot por supuesto, así como los conjuntos de Julia descubiertos por Gaston Julia quien inventó las matemáticas de los fractales, desarrollados luego por Mandelbrot.
WIKIPEDIA
Descarga el libro aquí:
Fractal is a word invented by Mandelbrot to bring together under one heading a large class of objects that have played ... an historical role ... in the development of pure mathematics. A great revolution of ideas separates the classical mathematics of the 19th century from the modern mathematics of the 20th. Classical mathematics had its roots in the regular geometric structures of Euclid and the continuously evolving dynamics of Newton. Modern mathematics began with Cantor's set theory and Peano's space filling curve. Historically, the revolution was forced by the discovery of mathematical structures that did not fit the patterns of Euclid and Newton. These new structures were regarded ... as ... 'pathological,' ... as a 'gallery of monsters,' akin to the cubist painting and atonal music that were upsetting the established standards of taste in the arts at about the same time. The mathematicians who created the monsters regarded them as important in showing that the world of pure mathematics contains a richness of possibilities going far beyond the simple structures that they saw in nature. Twentieth century mathematics flowered in the belief that it had transcended completely the limitations imposed by its natural origins. Now, as Mandelbrot points out ... Nature has played a joke on the mathematicians. The 19th century mathematicians may have been lacking in imagination but Nature was not. The same pathological structures that the mathematicians invented to break loose from 19th century naturalism turns out to be inherent in familiar objects all around us." ---- Freeman Dyson, "Characterising Irregularity", Science, May 1978