Benoit B. Mandelbrot's Books

The Fractalist

Memoir of a Scientific Maverick

By: Benoit Mandelbrot

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The Fractalist

Memoir of a Scientific Maverick

By: Benoit Mandelbrot

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.

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Page Count

362

Publisher

Vintage

Published Date

ISBN 10

030738991X

ISBN 13

9780307389916

Thinking in Patterns

Fractals and Related Phenomena in Nature

By: Benoit B. Mandelbrot,Miroslav Michal Novak

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Thinking in Patterns

Fractals and Related Phenomena in Nature

By: Benoit B. Mandelbrot,Miroslav Michal Novak

Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors. This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics OCo from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences.

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Page Count

344

Publisher

World Scientific

Published Date

ISBN 10

9812702741

ISBN 13

9789812702746

Fractals, Graphics, and Mathematics Education

By: Michael Frame,Benoit Mandelbrot

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Fractals, Graphics, and Mathematics Education

By: Michael Frame,Benoit Mandelbrot

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Page Count

232

Publisher

Cambridge University Press

Published Date

ISBN 10

0883851695

ISBN 13

9780883851692

Multifractals and 1/ƒ Noise

Wild Self-Affinity in Physics (1963–1976)

By: Benoit B. Mandelbrot

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Multifractals and 1/ƒ Noise

Wild Self-Affinity in Physics (1963–1976)

By: Benoit B. Mandelbrot

Mandelbrot is a world renowned scientist, known for his pioneering research in fractal geometry and chaos theory. In this volume, Mandelbrot defends the view that multifractals are intimately interrelated through the two fractal themes of "wildness" and "self-affinity". This link involves a powerful collection of technical tools, which are of use to diverse scientific communities. Among the topics covered are: 1/f noise, fractal dimension and turbulence, sporadic random functions, and a new model for error clustering on telephone circuits.

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Page Count

448

Publisher

Springer

Published Date

ISBN 10

1461221501

ISBN 13

9781461221500

Fractals and Scaling in Finance

Discontinuity, Concentration, Risk. Selecta Volume E

By: Benoit B. Mandelbrot

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Fractals and Scaling in Finance

Discontinuity, Concentration, Risk. Selecta Volume E

By: Benoit B. Mandelbrot

Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book brings together his original papers as well as many original chapters specifically written for this book.

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Page Count

558

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475727631

ISBN 13

9781475727630

The (Mis)Behaviour of Markets

A Fractal View of Risk, Ruin and Reward

By: Benoit B. Mandelbrot,Richard L. Hudson

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The (Mis)Behaviour of Markets

A Fractal View of Risk, Ruin and Reward

By: Benoit B. Mandelbrot,Richard L. Hudson

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.

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Page Count

352

Publisher

Profile Books

Published Date

ISBN 10

1847651550

ISBN 13

9781847651556

Fractals and Chaos

The Mandelbrot Set and Beyond

By: Benoit Mandelbrot

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Fractals and Chaos

The Mandelbrot Set and Beyond

By: Benoit Mandelbrot

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.

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Page Count

321

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475740174

ISBN 13

9781475740172

Gaussian Self-Affinity and Fractals

Globality, The Earth, 1/f Noise, and R/S

By: Benoit Mandelbrot

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Gaussian Self-Affinity and Fractals

Globality, The Earth, 1/f Noise, and R/S

By: Benoit Mandelbrot

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.

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Page Count

672

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387989935

ISBN 13

9780387989938

Fractals and Chaos

The Mandelbrot Set and Beyond

By: Benoit Mandelbrot

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Fractals and Chaos

The Mandelbrot Set and Beyond

By: Benoit Mandelbrot

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321

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Springer Science & Business Media

Published Date

ISBN 10

1475740174

ISBN 13

9781475740172

The Misbehavior of Markets

A Fractal View of Financial Turbulence

By: Benoit Mandelbrot,Richard L Hudson

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The Misbehavior of Markets

A Fractal View of Financial Turbulence

By: Benoit Mandelbrot,Richard L Hudson

A groundbreaking mathematician presents a new model for understanding financial markets Benoit B. Mandelbrot is world-famous for inventing fractal geometry, making mathematical sense of a fact everybody knows but that geometers from Euclid on down had never assimilated: Clouds are not round, mountains are not cones, coastlines are not smooth. To these insights we can now add another example: Markets are not the safe bet your broker may claim. Mandelbrot, with co-author Richard L. Hudson, shows how the dominant way of thinking about the behavior of markets--a set of mathematical assumptions a century old and still learned by every MBA and financier in the world--simply does not work. He uses fractal geometry to propose a new, more accurate way of describing market behavior. From the gyrations of the Dow to the dollar-euro exchange rate, Mandlebrot shows how to understand the volatility of markets in far more accurate terms than the failed theories that have repeatedly brought the financial system to the brink of disaster. The result is no less than the foundation for a new science of finance.

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Page Count

360

Publisher

Basic Books

Published Date

ISBN 10

0465004687

ISBN 13

9780465004683

The (Mis)Behaviour of Markets

A Fractal View of Risk, Ruin and Reward

By: Benoit B. Mandelbrot,Richard L. Hudson

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The (Mis)Behaviour of Markets

A Fractal View of Risk, Ruin and Reward

By: Benoit B. Mandelbrot,Richard L. Hudson

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352

Publisher

Profile Books

Published Date

ISBN 10

1847651550

ISBN 13

9781847651556

The Fractalist

Memoir of a Scientific Maverick

By: Benoit Mandelbrot

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The Fractalist

Memoir of a Scientific Maverick

By: Benoit Mandelbrot

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Page Count

362

Publisher

Vintage

Published Date

ISBN 10

030738991X

ISBN 13

9780307389916

Gaussian Self-Affinity and Fractals

Globality, The Earth, 1/f Noise, and R/S

By: Benoit Mandelbrot

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Gaussian Self-Affinity and Fractals

Globality, The Earth, 1/f Noise, and R/S

By: Benoit Mandelbrot

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Page Count

672

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387989935

ISBN 13

9780387989938

The (mis)behaviour of Markets

A Fractal View of Risk, Ruin and Reward

By: Benoit B. Mandelbrot,Richard L. Hudson

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The (mis)behaviour of Markets

A Fractal View of Risk, Ruin and Reward

By: Benoit B. Mandelbrot,Richard L. Hudson

From the world-famous inventor of fractal geometry, a revolutionary new theory that turns on its head our understanding of how markets work. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf, a rocky coastline or static in a computer connection to a few simple mathematical properties - to make the complex simple. With his fractal tools, Benoit Mandelbrot has got to the bottom of how financial markets really work. He finds they have a shifting sense of time, a unique dimension and a wild kind of behaviour that makes them volatile, dangerous - and also beautiful. In Mandelbrot's fractal models, the complex gyrations of IBM's stock price, the FTSE 100, cotton trading and exchange rates can be reduced to straightforward formulae that yield a much more accurate description of the risks involved.

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Page Count

328

Published Date

ISBN 10

1861977654

ISBN 13

9781861977656

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

By: Michel Laurent Lapidus,Machiel Van Frankenhuysen

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Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

By: Michel Laurent Lapidus,Machiel Van Frankenhuysen

This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

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Page Count

760

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821836374

ISBN 13

9780821836378

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

By: Michel Laurent Lapidus,Machiel Van Frankenhuysen

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Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

By: Michel Laurent Lapidus,Machiel Van Frankenhuysen

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Page Count

534

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821836374

ISBN 13

9780821836378

The Misbehavior of Markets

A Fractal View of Financial Turbulence

By: Benoit Mandelbrot,Richard L. Hudson

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The Misbehavior of Markets

A Fractal View of Financial Turbulence

By: Benoit Mandelbrot,Richard L. Hudson

Mathematical superstar and inventor of fractal geometry, Benoit Mandelbrot, has spent the past forty years studying the underlying mathematics of space and natural patterns. What many of his followers don't realize is that he has also been watching patterns of market change. In The (Mis)Behavior of Markets, Mandelbrot joins with science journalist and former Wall Street Journal editor Richard L. Hudson to reveal what a fractal view of the world of finance looks like. The result is a revolutionary reevaluation of the standard tools and models of modern financial theory. Markets, we learn, are far riskier than we have wanted to believe. From the gyrations of IBM's stock price and the Dow, to cotton trading, and the dollar-Euro exchange rate--Mandelbrot shows that the world of finance can be understood in more accurate, and volatile, terms than the tired theories of yesteryear.The ability to simplify the complex has made Mandelbrot one of the century's most influential mathematicians. With The (Mis)Behavior of Markets, he puts the tools of higher mathematics into the hands of every person involved with markets, from financial analysts to economists to 401(k) holders. Markets will never be seen as "safe bets" again.

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