https://wikimd.com/index.php?action=history&feed=atom&title=Benoit_MandelbrotBenoit Mandelbrot - Revision history2026-04-23T16:05:43ZRevision history for this page on the wikiMediaWiki 1.44.2https://wikimd.com/index.php?title=Benoit_Mandelbrot&diff=5904839&oldid=prevKondreddy Naveen at 21:48, 20 June 20242024-06-20T21:48:54Z<p></p>
<p><b>New page</b></p><div>[[file:Mandelbrot_p1130876.jpg|thumb|Mandelbrot p1130876]] .<br />
[[file:Newton-lplane-Mandelbrot.jpg|thumb|Newton-lplane-Mandelbrot|left]] [[file:Mandel_zoom_08_satellite_antenna.jpg|thumb|Mandel zoom 08 satellite antenna]] <br />
<br />
'''Benoit B. Mandelbrot''' (20 November 1924 – 14 October 2010) was a [[Polish people|Polish-born]] [[French people|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.<br />
<br />
[[file:Mandelbrot_p1130861.jpg|thumb|Mandelbrot p1130861]] <br />
<br />
== Early Life and Education ==<br />
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 (mathematician)|Paul Lévy]]. He completed his Ph.D. in [[mathematics]] at the [[University of Paris]] in 1952.<br />
<br />
== Career and Contributions ==<br />
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.<br />
<br />
=== Fractals and the Mandelbrot Set ===<br />
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.<br />
<br />
=== Publications ===<br />
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]].<br />
<br />
== Awards and Honors ==<br />
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]].<br />
<br />
== Personal Life ==<br />
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.<br />
<br />
== Legacy ==<br />
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]].<br />
<br />
== See Also ==<br />
* [[Fractal]]<br />
* [[Mandelbrot set]]<br />
* [[Chaos theory]]<br />
* [[Dynamical systems]]<br />
* [[Self-similarity]]<br />
* [[Complex numbers]]<br />
<br />
== References ==<br />
{{Reflist}}<br />
<br />
== External Links ==<br />
{{Commons category|Benoit Mandelbrot}}<br />
{{Wikiquote|Benoit Mandelbrot}}<br />
<br />
{{Authority control}}<br />
<br />
[[Category:1924 births]]<br />
[[Category:2010 deaths]]<br />
[[Category:French mathematicians]]<br />
[[Category:American mathematicians]]<br />
[[Category:Polish mathematicians]]<br />
[[Category:IBM employees]]<br />
[[Category:Fractals]]<br />
[[Category:Members of the United States National Academy of Sciences]]<br />
[[Category:Wolf Prize in Physics laureates]]<br />
[[Category:Japan Prize laureates]]<br />
[[Category:Polish emigrants to France]]<br />
[[Category:French emigrants to the United States]]<br />
[[Category:University of Paris alumni]]<br />
[[Category:École Polytechnique alumni]]<br />
<br />
{{medicine-stub}}</div>Kondreddy Naveen