Product Description
This volume brings together a number of distinctive contributions in the areas of fractals, chaos, and the interrelationship between the two domains. These contributions cover a wide variety of application areas, and this indicates the extent to which fractals and chaotic phenomena are being studied in the various disciplines. It is anticipated that the interdisciplinary nature of the subject will increase, which in turn will yield useful information on the potential (and also limitations in some cases) of fractals and chaos as modeling tools for the investigation of various natural and scientific phenomena. It is hoped that an understanding of fractals and chaos will lead to a common basis for examining the growth, development, organization, and behaviour of complex dynamical systems, many of which make up the natural world of which we are part. It is anticipated that the investigations of fractal structure associated with phase portraits will be an exciting area for future work. ... Read more

Product Description
This book focuses on the practical applications of fractal programming. Readers will learn how to implement the various logarithms, how to generate images using fractal and procedural techniques, and what practical uses there are for these techniques. Contains eight pages of full-color fractals and includes a disk with source code to create the images presented. ... Read more

Product Description
This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the method of analysis and choice of emphasis make it very different from all other books in the field. It is written to provide the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects such as universal critical exponents, devil's staircases, and the Farey tree. Throughout the book the author uses a fully discrete method, a "theoretical computer arithmetic," because finite (but not fixed) precision is a fact of life that cannot be avoided in computation or in experiment. This approach leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The author explains why continuum analysis, computer simulations, and experiments form three entirely distinct approaches to chaos theory. In the end, the connection is made with Turing's ideas of computable numbers. It is explained why the continuum approach leads to predictions that are not necessarily realized in computations or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed. ... Read more

Customer Reviews (1)

WoW
I think Prof. McCauley is the smartest man on the face of the earth. He must have wonderful, beautiful, smart children. ... Read more

Product Description
The book covers all the fundamental aspects of generating fractals through L-system. Also it provides insight to various researches in this area for generating fractals through L-system approach & estimating dimensions. Also it discusses various applications of L-system fractals.

Key Features:

- Fractals generated from L-System including hybrid fractals

- Dimension calculation for L-system fractals

- Images & codes for L-system fractals

- Research directions in the area of L-system fractals

- Usage of various freely downloadable tools in this area

- Fractals generated from L-System including hybrid fractals
- Dimension calculation for L-system fractals
- Images & codes for L-system fractals
- Research directions in the area of L-system fractals
- Usage of various freely downloadable tools in this area ... Read more

Customer Reviews (1)

Error Prone
I hope to expand on this review later, but for the time being I'll say this: I just bought the book and am up to page 44 and already have a page full of error annotations.Between this and expositions that are repeated several times almost verbatim, I'm led to wonder if this book actually had an editor. ... Read more

Product Description
Offering a new version of FRACTINT that allows users to generate built-in fractals or devise original patterns, this book-and-disk package also includes FDESIGN, a powerful new fractal-generating program that allows users to create natural shapes. Original. ... Read more

Customer Reviews (1)

A cool book that I wish the authors would update!
I really loved this book when it came out, and wish the authors would get together to update both the material in the book and the software that came with it to run on 'modern' computing equipment, (this was written when DOS was still king!)The book provided a really good, hands-on approach to fractal theory.It is a little light on application, but wasn't meant to have any of that, so I can forgive and forget.Moving down through to the borders of a Mandlebrot or Julia set in 16bit colour was amazing, and I would love to see what it would look like in the 16 million + colours available on computers today! ... Read more

Product Description
The authors describe mostly in non-technical language thedevelopment of a new scientific paradigm based on nonlineardeterministic dynamics and fractal geometry. The concepts from thesetwo mathematical disciplines are interwoven with data from thephysical, social and life sciences. In this way rather sophisticatedmathematical concepts are made accessible through experimental datafrom various disciplines, and the formalism is relegated toappendices. It is shown that the complexity of natural and socialphenomena invariably lead to inverse power law distributions, both interms of probabilities and spectra. This book tries to show how tothink differently about familiar phenomena, such as why the bell-shapecurve ought not to be used in teaching or in the characterization ofsuch complex phenomena as intelligence. ... Read more

Product Description
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. ... Read more

Product Description
This book teaches programming in C through fractal design. It will be a useful tool for mathematicians, scientists, and engineers who are just learning C or need to become more proficient. Through fractal design, the reader will learn the primary features of C including pointers, functions, and input/output libraries. All of the various versions of C are discussed. ... Read more

Customer Reviews (2)

Intuitively good book for Beginners in C/C++
Many authors have the idea, writing down every detail and everything they know, is best suitable for readers. The result is a thick and dry book you can read and understand only at a speed of 10 lines per day, that means you will never finish reading it. THIS BOOK instead, just INTRODUCES and MOTIVATES you in beginning learning C. Psychologicaly and intuitively very well written, it starts with chapters of only 4 or 5 pages length, increasing with your growing skills. It begins with just the necessary objects a beginner is interested in. Example: What do you see in a C program-code first? This book immediately explains you the "include" - directive and parameters of function "main(int argc, char *argv)". Some programs are implemented just for typing codes or showing you the possibilities of programming. You needn't understand them, just ENJOY.

This book is not what the reviews say it is.
Despite the publishers copy, this book is poorly written and is emphatically *not* for beginners to C, programming, or fractals.Mr. Stevens omits many details of both the C language and of fractal generation.None of his programs are commented. For some reason he has left out several important pieces of code that are not obvious to the beginner; they generate errors that required unnecessary time to repair.

In short, I do not recommend this book for beginners; for others, caveat emptor, as you will be frustrated by the opaque writing and lack of documentation. ... Read more

Product Description
This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces.. A basic example of this feature considered is the presence of Sobolev or Poincaré inequalities, concerning the relationship between the average behavior of a function and the average behavior of its small-scale oscillations. Remarkable results in the last few years through Bourdon-Pajot and Laakso have shown that there is much more in the way of geometries like this than have been realized, only examples related to nilpotent Lie groups and Carnot metrics were known previously. On the other had, 'typical' fractals that might be seen in pictures do not have these same kinds of features. This text examines these topics in detail and will interest graduate students as well as researchers in mathematics and various aspects of geometry and analysis. ... Read more

Product Description
This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in June 2001 at Graz University of Technology, Styria, Austria.

The volume presents a multitude of different directions of active current research linked with the modern theory of fractal structures. All papers were written upon invitation by the editors.

The book is addressed to mathematicians and scientists who are interested in any of the following topics:

fractal dimensionsfractal energiesfractal groupsstochastic processes on fractalsself-similarityspectra of random walkstilingsanalysis on fractalsdynamical systems

The readers will be introduced to the most recent results and problems on these subjects. Both researchers and graduate students will benefit from the clear expositions. ... Read more

Product Description
The philosophical and analytical silhouette of quantum mechanics can only take shape against a background of classical mechanics. As classical mechanics has undergone a radical reappraisal with the discovery of deterministic chaos and fractals, then quantum mechanics must be looked at again from the viewpoint of nonlinear dynamics. This book does just that, not solely from the point of view of quantum chaos, but also by looking at the hidden chaotic roots of quantum mechanics. Several of the contributions included in the book are concerned with the geometrization of physics and its consequences for quantum mechanics. Besides the main theme of the book, other equally interesting interpretations are represented, including the cellular automaton version of quantum mechanics and a radical endophysical interpretation: another contribution looks at the possibility of chaos in Einstein's fundamental equations. Some of the papers presented here are destined to be the subject of debate, agreement and passionate disagreement for some time. ... Read more

Product Description
The study of nonlinear dynamical systems has been gathering momentum since the late 1950s. It now constitutes one of the major research areas of modern theoretical physics. The twin themes of fractals and chaos, which are linked by attracting sets in chaotic systems that are fractal in structure, are currently generating a great deal of excitement. The degree of structure robustness in the presence of stochastic and quantum noise is thus a topic of interest. Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos. The book represents a balanced overview of the field and is a worthy addition to the reading lists of researchers and students interested in any of the varied, and sometimes bizarre, aspects of this intriguing subject. ... Read more

Product Description
This first volume of strategic classroom activities is designed to develop, through a hands-on approach, a basic mathematical understanding and appreciation of fractals. The concepts presented on fractals include self-similarity, the chaos game and complexity as it relates to fractal dimension. Where appropriate, the activities take advantage of the technological power of the graphics calculator. The slide package that accompanies this first volume includes high quality fractal images. ... Read more

Product Description

The groundbreaking documentary (accompanying this book), introduced by Arthur C. Clarke, has been shown in over 50 countries around the world. Twenty five years ago it brought the subject of fractals to the attention of the general public for the first time. The contributors to the film are joined in this comprehensive survey of fractal theory and practice by some other leading experts in the field.

- Beautifully and copiously illustrated, this latest edition also comes with an e-copy of the groundbreaking TV documentary

- Brings fractal geometry up to date by gathering the thoughts and enthusiasms of the foremost writers and researchers in the field

- A new chapter from Benoît Mandelbrot, the mathematician and founder of fractal geometry, makes this a ‘must-read’ for anyone with an interest in fractal theory

- Includes contributions from world leaders including Sir Arthur C Clarke, Michael Barnsley, and Ian Stewart

Product Description

Fractal geometry is used to model complicated natural and technical phenomena in various disciplines like physics, biology, finance, and medicine. Since most convincing models contain an element of randomness, stochastics enters the area in a natural way. This book documents the establishment of fractal geometry as a substantial mathematical theory. As in the previous volumes, which appeared in 1998 and 2000, leading experts known for clear exposition were selected as authors. They survey their field of expertise, emphasizing recent developments and open problems. Main topics include multifractal measures, dynamical systems, stochastic processes and random fractals, harmonic analysis on fractals.

Product Description
The book describes the application of soft computing techniques and fractal theory to intelligent manufacturing. Hybrid intelligent systems, which integrate different soft computing techniques and fractal theory, are also presented. The text covers the basics of fuzzy logic, neural networks, genetic algorithms, simulated annealing, chaos and fractal theory. It also describes in detail different hybrid architectures for developing intelligent manufacturing systems for applications in automated quality control, process monitoring and diagnostics, adaptive control of non-linear plants, and time series prediction. Real-world applications covered in this book include: tuning of televisions, battery charging, sound speaker testing, fruit classification, and stepping motors. ... Read more

Product Description
Brush up on all the latest features in Painter with Fractal Design Painter® 5 for Mac and Windows. Computer artists Carol Braverman and Dawn Erdos introduce you to Painter 5s improved interface, new brushes and textures, and refined selection tools. The book also delves into the programs added Web support and its integration with the Kodak Color Matching System.

In addition to learning about whats new and improved in Painter 5, you get plenty of expert instruction, tutorials, and insider tips and tricks that will transform you from a mere apprentice to a graphic design virtuoso. Accompanying Fractal Design Painter 5 for Mac and Windows is a bonus CD-ROM that includes a library of stock photos, a Painter 5 demo, and sample animation frames.Amazon.com Review
This pretty, full-color book shows beginners and intermediateusers exactly what Fractal Design (now MetaCreations) Painter, thenatural-media paint program, can do. The first half of the bookteaches you about Painter's interface and how you can customize theprogram. You learn how to use Painter's color and brush tools; createand manipulate selections, masks, Floaters, and shapes; use the ImageHose; apply, create, and edit paper textures; use special effects suchas lighting, Image Warp, Orientation, and Focus; clone images,brushes, and transformations; use Mosaics and Tessellations; recordand play scripts and create script libraries; work with QuickTime andAVI videos and create new movies; and use Painter to collaborate withcoworkers over a network using Net Painter. The chapter on outputexplains how to use monitor-calibration techniques, export files, andprint to a variety of printers. All of the chapters in this part ofthe book include screen shots and thorough explanations of eachfeature at hand. At the end of each chapter, a Practice Exerciseallows you to apply what you've learned.

The second half of thebook features highlights of six artists and presents step-by-stepexplanations of how each one created a particular piece of art. Anappendix shows samples of the texture, pattern, and nozzle librariesthat are available from MetaCreations. A CD-ROM includes stock photos,a demo version of Painter 5 for Macintosh, and sample animationframes. ... Read more

Customer Reviews (5)

Very Good Book for Beginners
This is a nicely designed book with all the basic information on using the Painter 5. For a beginner this is a must have book, however, do not expect to learn much if you are an intermediate or expert user. Actually, the bookitself deserves 4 stars, but the included CD lowers the value for Windowsusers -- while the demo Painter 5 for Mac is there, the CD does not includethe demo version of Painter 5 for Windows.

Not enough information updated as you advance in the book.
To properly utilize this book you may want to have a photographic memory.Say like you get to any chapter which refers to a previous chapter, you'resupposed to remember everything that you have read so far. This alsohappens in the exercise; where the little help that you do get, is picturesof the pallettes that are so small, you can't read them. Qvetch qvetchqvetch. I spend a lot of time backtracking here! dodjim@netbridge.net JimDodge

Great book to learn the basics with
This is a great book to learn Painter 5 with. It explains each function ofthe program. Getting this book and the Wow! book would enable you to getpretty advanced with Painter on your own. It doesn't go into detail as tohow you can execute certain special effects. For that, you need to getother books but this is a book which would enable you to have a soundknowledge of the capabilities and the functions of Painter and that is veryessential toward mastering an application.

Lessons are helpful
Since I bought Painter 5 bunded,I didn't get a basic instruction book.This book is very basic and comes with extremely helpful lessons to get you started.

Disappointed
Over three quarters of the book dealt with the basics that could be obtained from the user manual that came with Painter5 software.I expected to see a book similiar to Painter Wow.It was, however laid out nicely. ... Read more

Product Description
In recent years there has been an explosive growth in the study of physical, biological, and economic systems that can be profitably studies using densities. Because of the general inaccessibility of the mathematical literature to the nonspecialist, little diffusion of the applicable mathematics into the study of these "chaotic" systems has taken place. This book will help bridge that gap.To show how densities arise in simple deterministic systems, the authors give a unified treatment of a variety of mathematical system generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Examples have been drawn from many fields to illustrate the utility of the concepts and techniques presented, and the ideas in this book should thus prove useful in the study of a number of applied sciences.The authors assume that the reader has a knowledge of advanced calculus and differential equations. Basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed. Physicists, chemists, and biomathematicians studying chaotic behavior will find this book of value. It will also be a useful reference or text for mathematicians and graduate students working in ergodic theory and dynamical systems. ... Read more

Customer Reviews (1)

Excellent Book!
This is one of my favorite maths books.My interest in it is not so much for the discussion of chaotic systems, but more for that on stochastically perturbed systems.As far as this topic goes, this is the best book I've found in the field by far.The treatment is careful and self-contained, and the proofs are clear throughout.Lots of intuition is given with each result.

As a caveat, note that the approach is based on analysis in general and functional analysis in particular.If you prefer probabilistic arguments look somewhere else. ... Read more

Product Description
Fractal geometry has become popular in the last 15 years,its applicationscan be found in technology, science, oreven arts. Fractal methods andformalism are seen today as ageneral, abstract, but nevertheless practical instrument forthe description of nature in a wide sense. But itwasComputer Graphics which made possible the increasingpopularity offractals several years ago, and long aftertheir mathematical formulation.The two disciplines aretightly linked.The book contains the scientificcontributions presentedin an international workshop in the "Computer GraphicsCenter" in Darmstadt, Germany. Thetarget of the workshop wasto present the wide spectrumof interrelationships and interactions between FractalGeometry and Computer Graphics. The topics vary fromfundamentals and new theoretical results to variousapplications and systems development. All contributions areoriginal, unpublished papers.The presentations have beendiscussed in two working groups; the discussion results,together with actual trends and topics of future research,are reported in the last section.The topics of the book are divides into foursections:Fundamentals, Computer Graphics and Optical Simulation,Simulation of Natural Phenomena, Image Processing and ImageAnalysis. ... Read more

Product Description
This textbook is intended to supplement the classical theory of uni- and multivariate splines and their approximation and interpolation properties with those of fractals, fractal functions, and fractal surfaces. This synthesis will complement currently required courses dealing with these topics and expose the prospective reader to some new and deep relationships. In addition to providing a classical introduction to the main issues involving approximation and interpolation with uni- and multivariate splines, cardinal and exponential splines, and their connection to wavelets and multiscale analysis, which comprises the first half of the book, the second half will describe fractals, fractal functions and fractal surfaces, and their properties. This also includes the new burgeoning theory of superfractals and superfractal functions. The theory of splines is well-established but the relationship to fractal functions is novel. Throughout the book, connections between these two apparently different areas will be exposed and presented. In this way, more options are given to the prospective reader who will encounter complex approximation and interpolation problems in real-world modeling. Numerous examples, figures, and exercises accompany the material. ... Read more