mgf1107lecture31 - MGF 1107 EXPLORATIONS IN MATHEMATICS...

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MGF 1107 – EXPLORATIONS IN MATHEMATICS LECTURE 31 Benoît Mandelbrot Benoît Mandelbrot (born 1924) was born in Poland, but moved to France as a child to escape the Nazis, before emigrating to the United States in 1957. He worked for IBM for the next 32 years, spending his last years before retirement in 2005 as a professor at Yale. Mandelbrot is most famous for his work in fractal geometry, using the term “fractal” for the first time in a 1975 book. However he came to prominence in 1967 for a paper titled How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension . It examined the coastline paradox, which argues that the length of a coastline depends on what you use to measure it. Unit = 100 km, length = 2800 km Unit = 50 km, length = 3400 km Mandelbrot argued that, due to self-similarity, coastlines behave like fractals. If we continue to reduce the unit of measurement then the length will increase without bound.
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This note was uploaded on 09/22/2011 for the course MAC 2311 taught by Professor Evinson during the Spring '08 term at University of Central Florida.

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mgf1107lecture31 - MGF 1107 EXPLORATIONS IN MATHEMATICS...

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