Download or read online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get book now. This site is like a library, Use search box in the widget to get ebook that you want.

Fractals and Chaos

Fractals and Chaos Author Benoit Mandelbrot
ISBN-10 9781475740172
Release 2013-06-29
Pages 308
Download Link Click Here

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.

Fractals and Scaling in Finance

Fractals and Scaling in Finance Author Benoit B. Mandelbrot
ISBN-10 9781475727630
Release 2013-03-09
Pages 551
Download Link Click Here

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.

Multifractals and 1 Noise

Multifractals and 1    Noise Author Benoit B. Mandelbrot
ISBN-10 9781461221500
Release 2013-12-20
Pages 442
Download Link Click Here

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.

The Fractalist

The Fractalist Author Benoit B. Mandelbrot
ISBN-10 9780307377357
Release 2012
Pages 324
Download Link Click Here

A personal account by the late research scientist who revolutionized visual geometry with his ideas about fractals traces his early life as member of a Lithuanian Jewish family in early 20th-century Warsaw, his broad education in Europe and America and his long-time affiliation with IBM, Harvard and Yale. 40,000 first printing.

Chaos and Order in the Capital Markets

Chaos and Order in the Capital Markets Author Edgar E. Peters
ISBN-10 0471139386
Release 1996-08-30
Pages 274
Download Link Click Here

The latest developments in chaos theory – from an industry expert Chaos and Order in the Capital Markets was the first book to introduce and popularize chaos as it applies to finance. It has since become the classic source on the topic. This new edition is completely updated to include the latest ripples in chaos theory with new chapters that tie in today′s hot innovations, such as fuzzy logic, neural nets, and artificial intelligence. Critical praise for Peters and the first edition of Chaos and Order in the Capital Markets "The bible of market chaologists." – BusinessWeek "Ed Peters has written a first–class summary suitable for any investment professional or skilled investor." – Technical Analysis of Stocks & Commodities "It ranks among the most provocative financial books of the past few years. Reading this book will provide a generous payback for the time and mental energy expended." – Financial Analysts Journal This second edition of Chaos and Order in the Capital Markets brings the topic completely up to date with timely examples from today′s markets and descriptions of the latest wave of technology, including genetic algorithms, wavelets, and complexity theory. Chaos and Order in the Capital Markets was the very first book to explore and popularize chaos theory as it applies to finance. It has since become the industry standard, and is regarded as the definitive source to which analysts, investors, and traders turn for a comprehensive overview of chaos theory. Now, this invaluable reference – touted by BusinessWeek as "the bible of market chaologists" – has been updated and revised to bring you the latest developments in the field. Mainstream capital market theory is based on efficient market assumptions, even though the markets themselves exhibit characteristics that are symptomatic of nonlinear dynamic systems. As it explores – and validates – this nonlinear nature, Chaos and Order repudiates the "random walk" theory and econometrics. It shifts the focus away from the concept of efficient markets toward a more general view of the forces underlying the capital market system. Presenting new analytical techniques, as well as reexamining methods that have been in use for the past forty years, Chaos and Order offers a thorough examination of chaos theory and fractals as applied to investments and economics. This new edition includes timely examples from today′s markets and descriptions of cutting–edge technologies–genetic algorithms, wavelets, complexity theory–and hot innovations, such as fuzzy logic and artificial intelligence. Beyond the history of current capital market theory, Chaos and Order covers the crucial characteristics of fractals, the analysis of fractal time series through rescaled range analysis (R/S), the specifics of fractal statistics, and the definition and analysis of chaotic systems. It offers an in–depth exploration of: ∗ Random walks and efficient markets – the development of the efficient market hypothesis (EMH) and modern portfolio theory ∗ The linear paradigm – why it has failed ∗ Nonlinear dynamic systems – phase space, the Henon Map, Lyapunov exponents ∗ Applying chaos and nonlinear methods – neural networks, genetic algorithms ∗ Dynamical analysis of time series – reconstructing a phase space, the fractal dimension Tonis Vaga′s Coherent Market Hypothesis – the theory of social imitation, control parameters, Vaga′s implementations Plus, Chaos and Order now contains a Windows–compatible disk including data sets for running analyses described in the appendices. Written by a leading expert in the field, Chaos and Order in the Capital Markets has all the information you need for a complete, up–to–date look at chaos theory. This latest edition will undoubtedly prove to be as invaluable as the first.

Gaussian Self Affinity and Fractals

Gaussian Self Affinity and Fractals Author Benoit Mandelbrot
ISBN-10 0387989935
Release 2002
Pages 654
Download Link Click Here

A premier scientist in the field of fractal geometry focuses on a detailed study of fraction Brownian motions and presents the fractal themes of "self-affinity" and "globality." The book includes extensive introductory material and presents a number of striking new observations and conjectures. 50 illus.

The Fractal Geometry of Nature

The Fractal Geometry of Nature Author Benoit B. Mandelbrot
ISBN-10 0716711869
Release 1982-08-15
Pages 468
Download Link Click Here

Three classic fractals, tamed. Galaxies and eddies. Scaling fractals. Nonscaling fractals. Self-mapping fractals. Randomness. Stratified random fractals. Fractional brown fractals. A book-within-the-book, in color. Random tremas; texture. Miscellany. Of men and ideas.

Thinking in Patterns

Thinking in Patterns Author Benoit B. Mandelbrot
ISBN-10 9812702741
Release 2004
Pages 323
Download Link Click Here

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."

Dynamics in One Complex Variable AM 160

Dynamics in One Complex Variable   AM 160 Author John Milnor
ISBN-10 1400835534
Release 2011-02-11
Pages 320
Download Link Click Here

This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.

The Mis Behaviour of Markets

The  Mis Behaviour of Markets Author Benoit B. Mandelbrot
ISBN-10 9781847651556
Release 2010-10-01
Pages 352
Download Link Click Here

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.

Chaos CNN Memristors and Beyond

Chaos  CNN  Memristors and Beyond Author Andrew Adamatzky
ISBN-10 9789814434812
Release 2013-01-02
Pages 564
Download Link Click Here

This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos. It is comprised of three parts. The first — cellular nonlinear networks, nonlinear circuits and cellular automata — deals with Chua's Lagrangian circuits, cellular wave computers, bio-inspired robotics and neuro-morphic architectures, toroidal chaos, synaptic cellular automata, history of Chua's circuits, cardiac arrhythmias, local activity principle, symmetry breaking and complexity, bifurcation trees, and Chua's views on nonlinear dynamics of cellular automata. Dynamical systems and chaos is the scope of the second part of the book, where we find genius accounts on theory and application of Julia set, stability of dynamical networks, chaotic neural networks and neocortical dynamics, dynamics of piecewise linear systems, chaotic mathematical circuitry, synchronization of oscillators, models of catastrophic events, control of chaotic systems, symbolic dynamics, and solitons. First hand accounts on the discovery of memristors in HP Labs, historical excursions into ‘ancient memristors’, analytical analysis of memristors, and hardware memristor emulators are presented in the third and final part of the book. The book is quintessence of ideas on future and emergent hardware, analytic theories of complex dynamical systems and interdisciplinary physics. It is a true Renaissance volume where bright ideas of electronics, mathematics and physics enlighten facets of modern science. The unique DVD covers the artistic aspects of chaos, such as several stunningly melodious musical compositions using chaotic atttractors, a virtual gallery of hundreds of colorful attractors, and even a cartoon-like play on the genesis of Chua's circuit that was based on a widely acclaimed performance in Rome and other venues in Italy. In short, it is a veritable kaleiscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike. Contents:Cellular Nonlinear Networks, Nonlinear Circuits and Cellular Automata:Genealogy of Chua's Circuit (Peter Kennedy)Impasse Points, Mutators, and Other Chua Creations (Hyongsuk Kim)Chua's Lagrangian Circuit Elements (Orla Feely)From CNN Dynamics to Cellular Wave Computers (Tamas Roska)Contributions of CNN to Bio-Robotics and Brain Science (Paolo Arena and Luca Patané)From Radio-amateurs' Electronics to Toroidal Chaos (Otto E Rössler and Christophe Letellier)Analyzing the Dynamics of Excitatory Neural Networks by Synaptic Cellular Automata (V Nekorkin, A Dmitrichev, D Kasatkin and V Afraimovich)Dynamical Systems Perspective of Wolfram's Cellular Automata (M Courbage and B Kamińki)The Genesis of Chua's Circuit: Connecting Science, Art and Creativity (Francesca Bertacchini, Eleonora Bilotta, Giuseppe Laria and Pietro Pantano)Nonlinear Electronics Laboratory (NOEL): A Reminiscence (Chai Wah Wu)Bursting in Cellular Automata and Cardiac Arrhythmias (Gil Bub, Alvin Shrier and Leon Glass)Local Activity Principle: The Cause of Complexity and Symmetry Breaking (Klaus Mainzer)Explorations in the Forest of Bifurcation Trees: Route from Chua's Circuit to Chua's Memristive Oscillator (Łukasz Czerwiński and Maciej J Ogorzałek)Chua's Nonlinear Dynamics Perspective Cellular Automata (Giovanni E Pazienza)Application of CNN to Brainlike Computing (Bertram E Shi)Ideal Turbulence Phenomenon and Transmission Line with Chua's Diode (E Yu Romanenko and A N Sharkovsky)Chaos in Electronic Circuits: Chua's Contribution (1980–2000) (Christophe Letellier)Dynamical Systems and Chaos:Connectivity of Julia Sets for Singularly Perturbed Rational Maps (Robert L Devaney and Elizabeth D Russell)Structural Transformations and Stability of Dynamical Networks (L A Bunimovich and B Z Webb)Chua's Time (Arturo Buscarino, Luigi Fortuna and Mattia Frasca)Chaotic Neural Networks and Beyond (Kazuyuki Aihara, Taiji Yamada and Makito Oku)Chaotic Neocritical Dynamics (Walter J Freeman)Nonlinear Dynamics of a Class of Piecewise Linear Systems (M Lakshmanan and K Murali)Chaotic Mathematical Circuitry (R Lozi)Chua's Equation was Proved to be Chaotic in Two Years, Lorenz Equation in Thirty Six Years (Bharathwaj Muthuswamy)Toward a Quantitative Formulation of Emergence (G Nicolis)Controlled Synchronization of Chaotic Oscillators with Huygens' Coupling (J Peńa-Ramírez, R H B Fey and H Nijmeijer)Using Time-Delay Feedback for Control and Synchronization of Dynamical Systems (Kestutis Pyragas, Viktoras Pyragas and Tatjana Pyragiene)Models of Catastrophic Events and Suggestions to Foretell Them (Yves Pomeau and Martine Le Berre)Synchronization Propensity in Networks of Dynamical Systems: A Purely Topological Indicator (Stefano Fasani and Sergio Rinaldi)Further Progress in Partial Control of Chaotic Systems (Juan Sabuco, Miguel Sanjuan and Samuel Zambrano)Phase and Complete Synchronizations in Time-Delay Systems (D V Senthilkumar, M Manju Shrii and J Kurths)Symbolic Dynamics and Spiral Structures due to the Saddle-Focus Bifurcations (Andrey Shilnikov, Leonid Shilnikov and Roberto Barrio)Dynamics of Periodically Forced Mass Point on Constrained Surface with Changing Curvature (Yoshisuke Ueda)Solitons for Describing 3-D Physical Reality: The Current Frontier (Paul J Werbos)Thermal Solitons in 1D and 2D Anharmonic Lattices — Solectrons and the Organization of Non-Linear Fluctuations in Long-Living Dynamical Structures (M G Velarde, W Ebeling and A P Chetverikov)Global Optimizations by Intermittent Diffusion (Shui-Nee Chow, Tzi-Sheng Yang and Hao-Min Zhou)Memristors:How We Found the Missing Memristor (R Stanley Williams)Aftermath of Finding the Memristor (R Stanley Williams)The Singing Arc: The Oldest Memristor? (Jean-Marc Ginoux and Bruno Rossetto)Two Centuries of Memristors (Themistoklis Prodromakis)State Equations for Active Circuits with Memristors (Martin Hasler)Analytical Analysis of Memristive Networks (Torsten Schmidt, Willi Neudeck, Ute Feldmann and Ronald Tetzlaff)Hardware Memristor Emulators (Andrew L Fitch, Herbert H C Iu and Chi K Tse)Leon Chua's Memristor (Guanrong Chen) Readership: Graduate students, researchers and academics in all engineering disciplines as well as historians of science. Keywords:Memristors;CNN;Chaos;Dynamical SystemsKey Features:Unique personality of Leon Chua and enormity of his achievements underpins the structure of the bookConglomerate of hot topics: memristors, chaos, computationalOriginal papers from renown scholars and researchers as well as numerous tutorials and historical expositions on each of the topicsHigh pedagogical value makes the book a timeless referenceReviews: "It is a veritable kaleidoscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike." Zentralblatt MATH


Multifractals Author David Harte
ISBN-10 9781420036008
Release 2001-06-26
Pages 264
Download Link Click Here

Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the evaluation of statistical properties of estimates of the Renyi fractal dimensions. The first section provides introductory material and different definitions of a multifractal measure. The author then examines some of the various constructions for describing multifractal measures. Building from the theory of large deviations, he focuses on constructions based on lattice coverings, covering by point-centered spheres, and cascades processes. The final section presents estimators of Renyi dimensions of integer order two and greater and discusses their properties. It also explores various applications of dimension estimation and provides a detailed case study of spatial point patterns of earthquake locations. Estimating fractal dimensions holds particular value in studies of nonlinear dynamical systems, time series, and spatial point patterns. With its careful yet practical blend of multifractals, estimation methods, and case studies, Multifractals: Theory and Applications provides a unique opportunity to explore the estimation methods from a statistical perspective.

Fractals Graphics and Mathematics Education

Fractals  Graphics  and Mathematics Education Author Michael Frame
ISBN-10 0883851695
Release 2002-06-20
Pages 206
Download Link Click Here

Teaching resources for use with courses on fractal geometry, lecturers and interested readers.

Chaos and Fractals

Chaos and Fractals Author Heinz-Otto Peitgen
ISBN-10 9781475747409
Release 2013-06-29
Pages 999
Download Link Click Here

For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

The Essence Of Chaos

The Essence Of Chaos Author Flavio Lorenzelli
ISBN-10 9780203214589
Release 2003-09-02
Pages 227
Download Link Click Here

The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.

New Trading Dimensions

New Trading Dimensions Author Bill Williams
ISBN-10 0471295418
Release 1998-10-06
Pages 260
Download Link Click Here

A powerful new way to navigate today′s unprecedented market conditions "Bill Williams′ pioneering application of chaos theory to the financial markets is leading technical analysis into the twenty–first century and beyond. New Trading Dimensions presents a complete, highly original, and intriguing trading method with clear, detailed illustrations, and challenging practice pages. Bill′s wisdom, technical expertise, and skillful teaching style make this a revolutionary must–have new book for stock and commodity traders." –Tom Bierovic, Product Manager for User Education, Omega Research, Inc. "Bill hits the nail on the head. The essence of successful trading is a combination of knowing who you are and allowing the market to reveal its secrets. Bill Williams has the gift of explaining these concepts better than anyone I know. This is a compelling work that belongs in every trader′s library." –George Angell, author, Profitable Day–Trading with Precision "Bill Williams is one of the great educators of our time. He freely shares his knowledge and experience in this inexpensive book. This book is required reading for all market technicians. The principles are sound as we have tested them with our software." –John Hill, President, Futures Truth, Co. "Bill Williams has always been an excellent teacher, taking complex terms and concepts and translating them into a clear, commonsense approach to trading. This book provides a complete trading program that reflects Bill′s years of wisdom and experience in the marketplace." –Darrell Jobman, Editorial Consultant and former Editor–in–Chief of Futures magazine As today′s market environment continues to change dramatically, more and more traders are discovering that traditional forecasting methods–pure technical analysis and fundamental analysis–just do not work. Sending out contradictory messages, these opposing schools of thought leave investors baffled about the future direction of the market, and consequently, at a loss as to how to tailor their trading systems. As a result, many practitioners have now turned to a new forecasting "cocktail" that combines traditional charting methodologies with chaos theory and human psychology. In this groundbreaking book, Bill Williams, a seasoned trader at the forefront of this dynamic new approach, explains exactly what it is, how it works in current stock and commodity markets, and how to use it to your advantage. Based on human nature rather than the vagaries of the market, the new trading dimension works on the premise that we trade not the market, but our own belief system. By assessing what your personal biases are, you can determine how they influence your ultimate success–or failure–and then adjust your trading strategies accordingly. Written by an expert in the field who has been featured in Futures, Worth, Success, and other prominent publications, New Trading Dimensions takes the latest in scientific knowledge about human behavior and applies it directly to the fields of stock and commodity investing and trading. With straightforward guidelines, it shows you how to adopt the right attitude toward the behavior of the market and use the right tools (ATTITOOLS) for profitable trading. Packed with practice exercises, specific applications to different types of investments, and a detailed review of important market signals, here′s where you′ll learn how to: ∗ Discover what the market wants and align your own beliefs with the direction of the market ∗ Apply chaos theory to trading and investing ∗ Use Williams′ "Market Alligator" for analyzing and profiting from the markets ∗ Employ a multidimensional trading program that includes such tools and techniques as fractals, oscillators, AC signals, psychological zones, and balance lines ∗ Exit trades in a timely fashion to reap high returns Drawing on the author′s more than forty years of experience as both a successful trader and seasoned trainer, this invaluable guide offers a breakthrough method that has proven its ability to turn investors into consistent winners.

Kurt G del and the Foundations of Mathematics

Kurt G  del and the Foundations of Mathematics Author Matthias Baaz
ISBN-10 9781139498432
Release 2011-06-06
Download Link Click Here

This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.