College Research Papers

If you order your custom term paper from our custom writing service you will receive a perfectly written assignment on The Life and Accomplishments of Benoit Mandelbrot. What we need from you is to provide us with your detailed paper instructions for our experienced writers to follow all of your specific writing requirements. Specify your order details, state the exact number of pages required and our custom writing professionals will deliver the best quality The Life and Accomplishments of Benoit Mandelbrot paper right on time.

Our staff of freelance writers includes over 120 experts proficient in The Life and Accomplishments of Benoit Mandelbrot, therefore you can rest assured that your assignment will be handled by only top rated specialists. Order your The Life and Accomplishments of Benoit Mandelbrot paper at affordable prices!

Benoit Mandelbrot

Benoit Mandelbrot was born in Warsaw, Poland on November 0th, 14 to a Lithuanian-Jewish family. Correctly sensing the geo-political turmoil forming, his family moved to France in 16, when Benoit was 11. His uncle Szolem Mandelbrot, who succeeded Hadamard as Professor of Mathematics at the Collège de France and a member of the elite "Bourbaki", took responsibility for Benoit's education. It was his uncle who in 145 introduced him to Gaston Maurice Julias 118 masterpiece, M moire sur lit ration des fonctions rationnelles, a 1 page treatise in which Julia, then 5 years old, described the set J(f) of those z in C for which the nth iterate f(z) stays bounded as n tends to infinity. Mandelbrot, however, disliked it, and it disregarded the work for some thirty years, until working with his own theories, he found his attention drawn to Julias paper again. As a child, Mandelbrot attended the Lyc e Rolin in Paris until the start of World War II, when his family moved to Tulle where he received no formal education. Even though he was never taught the alphabet, nor learned multiplication tables past the fives, Mandelbrot has attributed much of his success to his varied and unconventional education. As a bizarre side note, Mandelbrot claims to be unable to use a phonebook, to this day, due to not knowing the alphabet!

After World War II, Mandelbrot took the examinations for the Ecole Normale and Ecole Polytechnique, two prestigious French schools with no equivalent in American education. On his entrance exams, Mandelbrot could not do algebra very well, but still managed to receive the highest grade by, as he put it, translating the questions mentally into pictures. He soon entered the more prestigious Ecole Normale. It was at Normale that Mandelbrot first encountered Bourbaki Mathmatics, a standard set by fifty prestigious mathematicians who were working to produce a systematic mathematical method that stressed a separation of mathematics from other sciences; they shunned the use of geometry and shapes. Because of the assertions of this group, Mandelbrot fled Normale, transferring to Ecole Polytechnique within a few days. Mandelbrot received his diploma from Ecole Polytechnique, in 147, his Master of Science in Aeronautics from the California Institute of Technology in 148, and his Ph.D. in Mathematical Sciences from the University of Paris in 15. He worked at the Centre National de la RecherchScientific from 14 to 157. Around the same time he also worked as a professor of mathematics in Geneva between 155-157, and at LÉcole Politechnique in 157-158. However the Mathematics of his uncle's Bourbaki would eventually drive him away from home to pursue the developments of his gifts on his own terms. In 158 he moved to the United States and the shelter of IBMs research center in Yorktown Heights, New York. Working for IBM has proven to be a fruitful arrangement. Benoit has pursued is intellectual interests regardless of how "out of the way" the discipline was. Some of the areas he delved into include; linguistics, game theories, aeronautics, engineering, economics, physiology, geography, astronomy and of course physics. Eventually he became an expert in processes with unusual statistical properties and their geometric features, which would prove to be the basis for modern fractal geometry.

The turning point came with Mandelbrots article How long is the coast of Britain? published in Science magazine in 167. In it, he suggested that the Britains coastline does not have a determinable length. Instead, he postulated that its longitude is relative to the resolution of measurement or scale. This demonstration gave way to other analogous discussions and explanations regarding other mathematical figures, often referred to as pathological shapes. It opened a floodgate of mathematicians trying to understand some natural phenomena as rivers, clouds, plants, mountain ranges, galaxies, population growth, hurricanes, electronic noise and chaotic attractors. All of which share one unifying feature "their general patterns repeat in different scales within the same object." (Martinez)

Do my essay on The Life and Accomplishments of Benoit Mandelbrot CHEAP !

The term "Fractal," from the Latin root Fractus meaning fractured or broken off, came about in the 17o's to help to iterate the culmination of Mandelbrot's eclectic research The Mandelbrot Set.

z - z^ + c

It is a simple looking mathematic equation with implications that are as far-reaching and limitless as the nature of the set itself. It starts with a set of randomly generated points in a complex number plane then progressing them through the sequence zn+1 = zn + c. The number either tends towards infinity or ends up trapped within a commonly repeated orbit that is visible when millions of calculations are plaotted on a two dimmensional plane, such as a computer screen. These patterns are more than mere plotted formulae, they are recognizable formations that border on nature itself. Their complex base beauty speaks to our very soul. We are able to recognize a repeating notion within them that at first appears random, but upon closer examination shows a much more specific and exact repetition of self-similar iterations. The part resembles the whole, and the closer we examine the occurance, the more similarities we see with the original. At first these sets were simply regarded as a new field of advanced mathematics, but in very short order, Mandelbrot and others began applying the thories to the appearant imperfections of the real world. As Mandelbrot said Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently. (fractalwisdom.com) Or as he said in his 18 book The Fractal Geometry of Nature Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.

As one of the fathers of modern Chaos Theory, Mandelbrot is on par with Einstein for the advances he has made in the world of science and mathematics. Today he is a Sterling Professor of mathematics at Yale University. He is also the Abraham Robinson Professor of Mathematical Sciences and IBM Fellow Emeritus, at the IBM T. J. Watson Research Center. He also lectured at the Albert Einstein College of Medicine in Physiology, and the University of Paris-Sud in Mathematics, and many others. In 15, he served as Professeur de lAcad mie des Sciences de Ecole Polytechnique.

Some of the many awards, prizes and medals he has earned include the

Barnard Medal for Meritorious Service to Science (185), the Franklin Medal for Signal and Eminent Service in Science (186), the Alexander von Humboldt Prize (188), the Charles Proteus Steinmetz Medal (188), the Science for Art Prize (188), the Harvey Prize for Science and Technology (18), the Nevada Prize (11), the Wolf Prize for Physics (1), the Honda Prize (14), the M daille de Vermeil (16), the John Scott Award (1), the Lewis Fry Richardson Medal (1), the Medaglia della Prezidenza della Republica Italiana (1), and the William Procter Prize for Scientific Achievement (00), among other awards, diplomas, grants, decorations and honorary doctorates. Hes also a member of the American Academy of Arts and Sciences; the USA National Academy of Sciences; the European Academy of Arts, Sciences and Humanities; the IBM Academy of Technology, and the Norwegian Academy of Science and Letters. (Martinez)

Works Cited

Fractal Wisdom. "The Story of Benoit B. Mandelbrot and Fractal Chaos " Fractal Chaos (00) 7 May http//www.fractalwisdom.com/FractalWisdom/fractal.html.

GNU. "Mandelbrot Set" Wikipediea (00) 7 May http//www.wikipedia.org/wiki/-Mandelbrot_set.

Exploritorium. "Benoit Mandelbrot " Complexicon (00) 7 May http//www.exploratorium.edu/complexity/CompLexicon/mandelbrot.html.

Mandelbrot, Benoit. The Fractal Geometry of Nature New York W.H. Freeman, 18.

Mandelbrot, Benoit. Fractals Form, Chance and Dimension New York W.H. Freeman, 177.

Martinez, Juan Luis. "Benoit Mandelbrot " Third Apex to Fractovia (00) 7 May http//www.fractovia.org/people/mandelbrot.html.

Newschool.edu. "Benoit Mandelbrot " The History of Economic Thought Website (00) 7 May http//cepa.newschool.edu/het/profiles/mandelb.htm.

Stetson University. "Benoit Mandelbrot " Periodic Table (00) 7 May http//www.stetson.edu/~efriedma/periodictable/html/Mt.html.

Please note that this sample paper on The Life and Accomplishments of Benoit Mandelbrot is for your review only. In order to eliminate any of the plagiarism issues, it is highly recommended that you do not use it for you own writing purposes. In case you experience difficulties with writing a well structured and accurately composed paper on The Life and Accomplishments of Benoit Mandelbrot, we are here to assist you. Your cheap custom college paper on The Life and Accomplishments of Benoit Mandelbrot will be written from scratch, so you do not have to worry about its originality.

Order your authentic assignment and you will be amazed at how easy it is to complete a quality custom paper within the shortest time possible!