Fractals: Form, Chance and Dimension

by Benoit B. Mandelbrot

A geometry for nature’s irregular forms

$35.82 USD

~~$44.78 USD~~ $35.82 USD

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A geometry for nature’s irregular forms

Benoit B. Mandelbrot presents fractal geometry as a way to describe shapes that conventional geometry had treated as too irregular to capture. The book connects mathematically defined patterns with forms found in continents, galaxies, snowflakes and grains of sand, and discusses applications across physics, biology and financial markets. Illustrations accompany the explanations, helping link abstract geometric ideas to the physical world. Its central subject is the effort to make complexity mathematically describable, with examples spanning natural forms and scientific fields.

Good fit for readers who enjoy

Readers interested in geometry and mathematical approaches to natural patterns.
Those curious about connections between mathematics, physics, biology and financial markets.
Readers seeking an illustrated introduction to Mandelbrot’s work on fractal geometry.

Themes

Fractal geometryMathematics of natural formsPatterns and complexityApplications of geometry across scientific fields

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Book overview

Discover the Hidden Mathematics of Modern Geometry

Fractals, the never-ending geometric-mathematical patterns existing throughout nature, are revealed in the shapes of continents, galaxies, snowflakes, and grains of sand. In this fascinating and seminal volume, renowned pioneering-mathematician Benoit B. Mandelbrot explains his work on fractal geometry, mathematically translating the description of these complex shapes of nature.

Until Mandelbrot developed the concept of fractal geometry in the 1960s and 70s, most mathematicians believed these irregular shapes were too fragmented and amorphous to be described mathematically. Mandelbrot's revolutionary concept brought order to a variety of seemingly unsolvable problems in physics, biology, and financial markets.

Broad in application, this groundbreaking work will inform not just mathematicians, but anyone that appreciates the natural elegance of patterns made manifest. Featuring illustrations of mathematically defined shapes, Mandelbrot describes how geometric patterns relate to every aspect of the physical world around us.

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