The Islands of Benoît Mandelbrot

The Islands of Benoît Mandelbrot
Author: Nina Samuel
Publisher: Bard Graduate Center
Total Pages: 0
Release: 2012
Genre: Art
ISBN: 9780300186437

Over the past few decades, the "pictorial turn" in the natural sciences, prompted by the computer's capacity to produce visual representations, has generated considerable theoretical interest. Poised between their materiality and the abstract level they are meant to convey, scientific images are always intersections of form and meaning. Benoît Mandelbrot (1924-2010), one of the best-known producers of digital images in scientific and industrial research, was particularly curious about the ways in which the materiality of scientific representation was able to influence the development of the ideas and abstractions the images embodied. Using images and objects found in Mandelbrot's office, this book questions the relationship between the visual and scientific reasoning in fractal geometry and chaos theory, among the most popular fields to use digital scientific imagery in the past century. These unpublished materials offer new connections between the material world and that of mathematical ideas. Work by Adrien Douady and Otto Rössler provides historical depth to the analysis. Distributed for the Bard Graduate Center, NY Exhibition Schedule: Bard Graduate Center(09/20/12-01/27/13)

Fractals and Chaos

Fractals and Chaos
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.

Fractal Worlds

Fractal Worlds
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.

Gaussian Self-Affinity and Fractals

Gaussian Self-Affinity and Fractals
Author: Benoit Mandelbrot
Publisher: Springer Science & Business Media
Total Pages: 672
Release: 2002
Genre: Mathematics
ISBN: 9780387989938

This third volume of the Selected Works focusses on a detailed study of fraction Brownian motions. The fractal themes of "self-affinity" and "globality" are presented, while extensive introductory material, written especially for this book, precedes the papers and presents a number of striking new observations and conjectures. The mathematical tools so discussed will be valuable to diverse scientific communities.

The Colours of Infinity

The Colours of Infinity
Author: Nigel Lesmoir-Gordon
Publisher: Springer Science & Business Media
Total Pages: 218
Release: 2010-10-20
Genre: Mathematics
ISBN: 1849964866

A geometry able to include mountains and clouds now exists. I put it together in 1975, but of course it incorporates numerous pieces that have been around for a very long time. Like everything in science, this new geometry has very, very deep and long roots. Benoît B. Mandelbrot Introduction This enhanced and expanded edition of THE COLOURS OF INFINITY features an additional chapter on the money markets by the fractal master himself, Professor Benoît Mandelbrot. The DVD of the film associated with this book has been re-mastered especially for this edition with exquisite new fractal animations, which will take your breath away! Driven by the curious enthusiasm that engulfs many fractalistas, in 1994, Nigel Lesmoir-Gordon overcame enormous obstacles to raise the finance for, then shoot and edit the groundbreaking TV documentary from which this book takes its name. The film has been transmitted on TV channels in over fifty countries around the world. This book is not just a celebration of the discovery of the Mandelbrot set, it also brings fractal geometry up to date with a gathering of the thoughts and enthusiasms of the foremost writers and researchers in the field. As Ian Stewart makes clear in the opening chapter, there were antecedents for fractal geometry before 1975 when Mandelbrot gave the subject its name and began to develop the underlying theory.

The Fractalist

The Fractalist
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.

Between Race and Ethnicity

Between Race and Ethnicity
Author: Marilyn Halter
Publisher: University of Illinois Press
Total Pages: 252
Release: 2022-10-17
Genre: History
ISBN: 0252054423

Arriving in New England first as crew members of whaling vessels, Afro-Portuguese immigrants from Cape Verde later came as permanent settlers and took work in the cranberry industry, on the docks, and as domestic workers. Marilyn Halter combines oral history with analyses of ships' records to chart the history and adaptation patterns of the Cape Verdean Americans. Though identifying themselves in ethnic terms, Cape Verdeans found that their African-European ancestry led their new society to view them as a racial group. Halter emphasizes racial and ethnic identity formation to show how Cape Verdeans set themselves apart from the African Americans while attempting to shrug off white society's exclusionary tactics. She also contrasts rural life on the bogs of Cape Cod with New Bedford’s urban community to reveal the ways immigrants established their own social and religious groups as they strove to maintain their Crioulo customs.

The Large, the Small and the Human Mind

The Large, the Small and the Human Mind
Author: Roger Penrose
Publisher: Cambridge University Press
Total Pages: 228
Release: 2000-04-28
Genre: Mathematics
ISBN: 9780521785723

The author of the provocative works The Emperor's New Mind and Shadows of the Mind now presents a masterful summary of the complex ideas presented in those books, highlighting areas of research where he perceives there are major unsolved problems that strike at the heart of our understanding of the laws of physics. Illustrated with cartoons & diagrams. 3 tables. Copyright © Libri GmbH. All rights reserved.

Discovery of Cosmic Fractals

Discovery of Cosmic Fractals
Author: Yurij Baryshev
Publisher: World Scientific
Total Pages: 412
Release: 2002
Genre: Science
ISBN: 9789810248727

In a simple manner, explains the frontiers of astronomy, how fractals appear in cosmic physics, offers a personal view of the history of the idea of self-similarity and of cosmological principles and presents the debate which illustrates how new concepts and deeper observations reveal unexpected aspects of Nature.

The (Mis)Behaviour of Markets

The (Mis)Behaviour of Markets
Author: Benoit B. Mandelbrot
Publisher: Profile Books
Total Pages: 352
Release: 2010-10-01
Genre: Business & Economics
ISBN: 1847651550

This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don't act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools, Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time and wild behaviour that makes them volatile, dangerous - and beautiful. In his models, the complex gyrations of the FTSE 100 and exchange rates can be reduced to straightforward formulae that yield a much more accurate description of the risks involved.