Fractals: Form, Chance and Dimension

by Benoit B. Mandelbrot

Geometry for nature’s irregular forms

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~~$36.53 USD~~ $29.22 USD

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Geometry for nature’s irregular forms

Benoit B. Mandelbrot introduces fractal geometry as a way to describe irregular patterns that conventional geometric approaches had treated as difficult to capture. The book connects mathematically defined shapes with examples drawn from continents, galaxies, snowflakes, and grains of sand, and discusses applications across physics, biology, and financial markets. Illustrations accompany the explanations, linking the abstract ideas to forms in the physical world. The emphasis is on how mathematical description can make sense of complexity and repetition in natural shapes, bringing geometry into conversation with several fields beyond mathematics.

Good fit for readers who enjoy

Readers interested in geometry and mathematical ideas about natural patterns.
Those curious about connections between mathematics, physics, biology, and financial markets.
Readers who value illustrated explanations of abstract mathematical concepts.

Themes

Fractal geometryMathematics in naturePatterns and complexityInterdisciplinary applications

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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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