Benoit Mandelbrot

Mandelbrot p1130876

.

Newton-lplane-Mandelbrot

Mandel zoom 08 satellite antenna

Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "fractal geometry," which he popularized. Mandelbrot is recognized for his work on the Mandelbrot set, a set of complex numbers that produces a distinctive and infinitely complex boundary when plotted.

Mandelbrot p1130861

Early Life and Education

Benoit Mandelbrot was born in Warsaw, Poland, to a Lithuanian Jewish family. In 1936, his family emigrated to France to escape the growing threat of Nazi Germany. Mandelbrot attended the Lycée Rolin in Paris and later studied at the École Polytechnique under the supervision of Paul Lévy. He completed his Ph.D. in mathematics at the University of Paris in 1952.

Career and Contributions

Mandelbrot's career spanned several decades and included positions at various prestigious institutions. He worked at the Centre National de la Recherche Scientifique (CNRS) in France and later joined IBM's Thomas J. Watson Research Center in New York. It was at IBM that Mandelbrot conducted much of his groundbreaking work on fractals.

Fractals and the Mandelbrot Set

Mandelbrot's most famous contribution to mathematics is the concept of fractals, which are complex geometric shapes that can be split into parts, each of which is a reduced-scale copy of the whole. This property is known as "self-similarity." The Mandelbrot set is a particular set of complex numbers that produces a fractal when plotted. The boundary of the Mandelbrot set is infinitely complex and exhibits self-similarity at various scales.

Publications

Mandelbrot authored several influential books and papers, including The Fractal Geometry of Nature (1982), which brought the concept of fractals to a wider audience. His work has applications in various fields, including physics, biology, finance, and computer graphics.

Awards and Honors

Throughout his career, Mandelbrot received numerous awards and honors, including the Wolf Prize in Physics in 1993 and the Japan Prize in 2003. He was also a member of several prestigious academies, including the American Academy of Arts and Sciences and the National Academy of Sciences.

Personal Life

Mandelbrot married Aliette Kagan in 1955, and they had two sons. He spent his later years in the United States and continued to work on his research until his death in 2010.

Legacy

Benoit Mandelbrot's work has had a lasting impact on various scientific disciplines. The concept of fractals has been used to model complex structures in nature, such as coastlines, mountain ranges, and biological systems. His contributions have also influenced the fields of chaos theory and dynamical systems.

See Also

• Fractal
• Mandelbrot set
• Chaos theory
• Dynamical systems
• Self-similarity
• Complex numbers