Benoit Mandelbrot A Life In Many Dimensions
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Author | : Michael Frame |
Publisher | : World Scientific |
Total Pages | : 578 |
Release | : 2015-03-02 |
Genre | : Mathematics |
ISBN | : 9814635537 |
This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot.While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit's accomplishments.
Author | : Michael Frame |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 553 |
Release | : 2015 |
Genre | : Mathematics |
ISBN | : 9789814366069 |
This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts. Contributors include mathematicians, physicists, biologists, economists, and engineers, as expected; and also artists, musicians, teachers, an historian, an architect, a filmmaker, and a comic. Some articles are quite technical, others entirely descriptive. All include stories about Benoit.Also included are chapters on fractals and music by Charles Wuorinen and by Harlan Brothers, on fractals and finance by Richard Hudson and by Christian Walter, on fractal invisibility cloaks by Nathan Cohen, and a personal reminiscence by Aliette Mandelbrot.While he is known most widely for his work in mathematics and in finance, Benoit influenced almost every field of modern intellectual activity. No other book captures the breadth of all of Benoit's accomplishments.
Author | : Benoit Mandelbrot |
Publisher | : Vintage |
Total Pages | : 362 |
Release | : 2014-01-14 |
Genre | : Biography & Autobiography |
ISBN | : 030738991X |
Here is the remarkable life story of Benoit Mandelbrot, the creator of fractal geometry, and his unparalleled contributions to science mathematics, the financial world, and the arts. Mandelbrot recounts his early years in Warsaw and in Paris, where he was mentored by an eminent mathematician uncle, through his days evading the Nazis in occupied France, to his education at Caltech, Princeton, and MIT, and his illustrious career at the IBM Thomas J. Watson Research Center. An outside to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden scientific laws. In the process he was able to use geometry to solve fresh, real-world problems. With exuberance and an eloquent fluency, Benoit Mandelbrot recounts the high points of his fascinating life, offering us a glimpse into the evolution of his extraordinary mind. With full-color inserts and black-and-white photographs throughout.
Author | : Michael Frame |
Publisher | : Yale University Press |
Total Pages | : 536 |
Release | : 2016-06-21 |
Genre | : Mathematics |
ISBN | : 0300220707 |
Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.
Author | : Liz Ziemska |
Publisher | : Macmillan + ORM |
Total Pages | : 86 |
Release | : 2017-11-14 |
Genre | : Fiction |
ISBN | : 0765398044 |
"Liz Ziemska has fashioned a beautiful story about one famous survivor and the magic and mathematics he’s brought to the world." —Karen Joy Fowler Mandelbrot the Magnificent is a stunning, magical pseudo-biography of Benoit Mandelbrot as he flees into deep mathematics to escape the rise of Hitler Born in Warsaw and growing up in France during the rise of Hitler, Benoit Mandelbrot found escape from the cruelties of the world around him through mathematics. Logic sometimes makes monsters, and Mandelbrot began hunting monsters at an early age. Drawn into the infinite promulgations of formulae, he sinks into secret dimensions and unknown wonders. His gifts do not make his life easier, however. As the Nazis give up the pretense of puppet government in Vichy France, the jealousy of Mandelbrot’s classmates leads to denunciation and disaster. The young mathematician must save his family with the secret spaces he’s discovered, or his genius will destroy them. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Author | : Michael Frame |
Publisher | : World Scientific |
Total Pages | : 468 |
Release | : 2021-10-04 |
Genre | : Young Adult Nonfiction |
ISBN | : 9811218471 |
This book provides a collection of 44 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional fractals, basic multifractals, synchronization of chaotic processes, fractal finger paints, cooking fractals, videofeedback, and fractal networks of resistors and oscillators.
Author | : David Peak |
Publisher | : W H Freeman & Company |
Total Pages | : 408 |
Release | : 1994 |
Genre | : Science |
ISBN | : 9780716724292 |
Presents an introduction to the dynamics of order and chaos, fractals, and complexity.
Author | : Michael Frame |
Publisher | : University of Chicago Press |
Total Pages | : 175 |
Release | : 2021-09-08 |
Genre | : Biography & Autobiography |
ISBN | : 022680092X |
Geometry -- Grief -- Beauty -- Story -- Fractal -- Beyond -- Appendix: More Math.
Author | : Benoit Mandelbrot |
Publisher | : Springer Science & Business Media |
Total Pages | : 321 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475740174 |
Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related to the famous inkblot figure. Of historical interest are some early images of this fractal object produced with a crude dot-matrix printer. The text includes some items not previously published.
Author | : Anne Goldman |
Publisher | : University of Georgia Press |
Total Pages | : 158 |
Release | : 2021-01-15 |
Genre | : Biography & Autobiography |
ISBN | : 0820358452 |
A Kirkus Best Book of the Year During World War II, with apocalypse imminent, a group of well-known Jewish scientists and artists sidestepped despair by challenging themselves to solve some of the most difficult questions posed by our age. Many had just fled Europe. Others were born in the United States to immigrants who had escaped Russia’s pogroms. Alternately celebrated as mavericks and dismissed as eccentrics, they trespassed the boundaries of their own disciplines as the entrance to nations slammed shut behind them. In Stargazing in the Atomic Age, Anne Goldman interweaves personal and intellectual history in exuberant essays that cast new light on these figures and their virtuosic thinking. In lyric, lucent sentences that dance between biography and memoir as they connect innovation in science with achievement in the arts, Goldman yokes the central dramas of the modern age with the brilliant thinking of earlier eras. Here, Einstein plays Mozart to align mathematical principle with the music of the spheres and Rothko paints canvases whose tonalities echo the stark prose of Genesis. Nearby, Bellow evokes the dirt and dazzle of the Chicago streets, while upon the heels of World War II, Chagall illuminates stained glass no less buoyant than the effervescent notes of Gershwin's Rhapsody in Blue. In these essays, Goldman reminds readers that Jewish history offers as many illustrations of accomplishment as of affliction. At the same time, she gestures toward the ways in which experiments in science and art that defy partisanship can offer us inspiration during a newly divisive era.