[PDF] Benoit Mandelbrot A Life In Many Dimensions eBook

Author : Michael Frame
Publisher : World Scientific Publishing Company Incorporated
Page : 553 pages
File Size : 20,61 MB
Release : 2015
Category : Mathematics
ISBN : 9789814366069

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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
Page : 578 pages
File Size : 39,42 MB
Release : 2015-03-02
Category : Mathematics
ISBN : 9814635537

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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
Page : 362 pages
File Size : 34,74 MB
Release : 2014-01-14
Category : Biography & Autobiography
ISBN : 030738991X

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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
Page : 536 pages
File Size : 44,91 MB
Release : 2016-06-21
Category : Mathematics
ISBN : 0300220707

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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
Page : 86 pages
File Size : 30,22 MB
Release : 2017-11-14
Category : Fiction
ISBN : 0765398044

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"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
Page : 468 pages
File Size : 44,38 MB
Release : 2021-10-04
Category : Young Adult Nonfiction
ISBN : 9811218471

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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 : Mario Livio
Publisher : Simon and Schuster
Page : 320 pages
File Size : 23,33 MB
Release : 2011-02-22
Category : Mathematics
ISBN : 1416594434

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Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

Author : Anne Goldman
Publisher : University of Georgia Press
Page : 158 pages
File Size : 38,1 MB
Release : 2021-01-15
Category : Biography & Autobiography
ISBN : 0820358452

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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.

Author : Robert G. Niemeyer
Publisher : American Mathematical Soc.
Page : 302 pages
File Size : 14,55 MB
Release : 2019-06-26
Category : Fractals
ISBN : 1470435810

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This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday, held from June 21–29, 2016, at California Polytechnic State University, San Luis Obispo, California. The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).

Author : Antonio Di Ieva
Publisher : Springer
Page : 583 pages
File Size : 27,7 MB
Release : 2016-08-03
Category : Medical
ISBN : 1493939955

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Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.