Benoit 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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362

Publisher

Vintage

Published Date

ISBN 10

030738991X

ISBN 13

9780307389916

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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321

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475740174

ISBN 13

9781475740172

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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352

Publisher

Profile Books

Published Date

ISBN 10

1847651550

ISBN 13

9781847651556

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

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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328

Published Date

ISBN 10

1861977654

ISBN 13

9781861977656

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

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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368

Publisher

Basic Books

Published Date

ISBN 10

0465043577

ISBN 13

9780465043576

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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360

Publisher

Basic Books

Published Date

ISBN 10

0465004687

ISBN 13

9780465004683

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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362

Publisher

Vintage

Published Date

ISBN 10

030738991X

ISBN 13

9780307389916

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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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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448

Publisher

Springer

Published Date

ISBN 10

1461221501

ISBN 13

9781461221500

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

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Profile Books

Published Date

ISBN 10

1847651550

ISBN 13

9781847651556

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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558

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475727631

ISBN 13

9781475727630

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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672

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387989935

ISBN 13

9780387989938

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 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

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Page Count

558

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475727631

ISBN 13

9781475727630

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

592

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821836382

ISBN 13

9780821836385

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

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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672

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387989935

ISBN 13

9780387989938

Classical Genetic Research and Its Legacy

The Mapping Cultures of Twentieth-century Genetics

By: Benoit Godin

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Classical Genetic Research and Its Legacy

The Mapping Cultures of Twentieth-century Genetics

By: Benoit Godin

Governments and researchers from industrial countries have been measuring science and technology for more than seventy years. This book provides an historical examination of official science and technology statistics and indicators in Western countries and addresses the following questions: What were the main historical moments that led to the development of statistics on science and technology? What were the main socio-political stakes behind the activities of science measurement? What were the philosophical and ideological conceptions that drove measurement? What statistics and indicators were developed and how were they constructed? The first part of the book concentrates on the construction and development of science and technology statistics from 1930 to the present, the principles at work, and the vested interests and forces behind that construction. The second part analyzes to what uses statistics were put, and with how much confidence actors used statistics to document their case or to promote their political agenda.

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264

Publisher

Psychology Press

Published Date

ISBN 10

0415328497

ISBN 13

9780415328494

Economic Policy: Theory and Practice

By: Agnes Benassy-Quere,Benoit Coeure,Pierre Jacquet,Jean Pisani-Ferry

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Economic Policy: Theory and Practice

By: Agnes Benassy-Quere,Benoit Coeure,Pierre Jacquet,Jean Pisani-Ferry

Economic Policy provides a unique combination of facts-based analysis, state-of-the art economic theory, and insights from first-hand policy experience at the national and international levels to shed light on current domestic and international policy challenges. It is ideally suited for students, practitioners, and scholars seeking understanding both of the pragmatic constraints of real-world policy making and the analytical tools that enhance inquiry and inform debates. The authors draw on their experiences as academics and as policy makers in European and international institutions to offer a deep dive into the rationale, design, and implementation of economic policy across a range of policy domains: fiscal policy, monetary policy, international finance, financial stability, taxes, long-term growth and inequality. Highlighting the ways experience, theories, and institutions interact, each chapter starts with historical examples of dilemmas and shows how theoretical approaches can help policy makers understand what is at stake and identify solutions. The authors highlight the differences between the positive approach to economic policy (how do policies impact the economy), the normative approach (what should be policymakers' objectives and against which criteria should their action be judged), and the political-economy constraints (what are the limits and obstacles to public intervention). They rely on the most recent academic research, providing technical boxes while explaining the mechanisms in plain English in the text, with appropriate illustrations. This new edition is informed by such important recent developments as the Great Recession, the strains on the European Union and the Euro, the challenges of public and private debt, the successes and setbacks to emerging markets, changes to labor markets along with the increased attention to inequality, the debates on secular stagnation and its implications for conventional and unconventional monetary policy, the re-regulation of the financial sector, the debt overhang in both the public and the private sector.

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Page Count

705

Publisher

Oxford University Press

Published Date

ISBN 10

0190912111

ISBN 13

9780190912116

Nonlinear Dimensionality Reduction Techniques

A Data Structure Preservation Approach

By: Sylvain Lespinats,Benoit Colange,Denys Dutykh

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Nonlinear Dimensionality Reduction Techniques

A Data Structure Preservation Approach

By: Sylvain Lespinats,Benoit Colange,Denys Dutykh

This book proposes tools for analysis of multidimensional and metric data, by establishing a state-of-the-art of the existing solutions and developing new ones. It mainly focuses on visual exploration of these data by a human analyst, relying on a 2D or 3D scatter plot display obtained through Dimensionality Reduction. Performing diagnosis of an energy system requires identifying relations between observed monitoring variables and the associated internal state of the system. Dimensionality reduction, which allows to represent visually a multidimensional dataset, constitutes a promising tool to help domain experts to analyse these relations. This book reviews existing techniques for visual data exploration and dimensionality reduction such as tSNE and Isomap, and proposes new solutions to challenges in that field. In particular, it presents the new unsupervised technique ASKI and the supervised methods ClassNeRV and ClassJSE. Moreover, MING, a new approach for local map quality evaluation is also introduced. These methods are then applied to the representation of expert-designed fault indicators for smart-buildings, I-V curves for photovoltaic systems and acoustic signals for Li-ion batteries.

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Page Count

279

Publisher

Springer Nature

Published Date

ISBN 10

3030810267

ISBN 13

9783030810269

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

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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

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Page Count

448

Publisher

Springer

Published Date

ISBN 10

1461221501

ISBN 13

9781461221500

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

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344

Publisher

World Scientific

Published Date

ISBN 10

9812702741

ISBN 13

9789812702746

The Science of Fractal Images

By: Heinz-Otto Peitgen,Dietmar Saupe

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The Science of Fractal Images

By: Heinz-Otto Peitgen,Dietmar Saupe

This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.

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