Download or read book Chaos Theory Tamed written by Garnett Williams and published by CRC Press. This book was released on 1997-09-09 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.
Download or read book Chaos Theory Tamed written by Garnett P. Williams and published by . This book was released on 2001 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
Download or read book Fractals Chaos Power Laws written by Manfred Schroeder and published by Courier Corporation. This book was released on 2009-08-21 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
Download or read book Chaos for Engineers written by Tomasz Kapitaniak and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: A desription of the new mathematical ideas in nonlinear dynamics in such a way that engineers can apply them to real physical systems.
Download or read book Applied Chaos Theory written by Ali Bulent Cambel and published by Elsevier. This book was released on 1993-01-25 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material ina reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory. Included is a list of topics for further discussion that may serve not only for personal practice or homework, but also as themes for theses, dissertations, and research proposals. Includes laboratory experiments Includes applications and case studies related to cell differentiation, EKGs, and immunology Presents interdisciplinary applications of chaos theory to complex systems Emphasizes the meaning of mathematical equations rather than their derivations Features reader friendly presentation with many illustrations and interpretations Deals with real life, dissipative systemsIntegrates mathematical theory throughout the text
Download or read book Chaos and Order in the Capital Markets written by Edgar E. Peters and published by John Wiley & Sons. This book was released on 1996-08-30 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.
Download or read book The Great Unknown written by Marcus du Sautoy and published by Penguin. This book was released on 2017-04-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: “An engaging voyage into some of the great mysteries and wonders of our world." --Alan Lightman, author of Einstein’s Dream and The Accidental Universe “No one is better at making the recondite accessible and exciting.” —Bill Bryson Brain Pickings and Kirkus Best Science Book of the Year Every week seems to throw up a new discovery, shaking the foundations of what we know. But are there questions we will never be able to answer—mysteries that lie beyond the predictive powers of science? In this captivating exploration of our most tantalizing unknowns, Marcus du Sautoy invites us to consider the problems in cosmology, quantum physics, mathematics, and neuroscience that continue to bedevil scientists and creative thinkers who are at the forefront of their fields. At once exhilarating, mind-bending, and compulsively readable, The Great Unknown challenges us to consider big questions—about the nature of consciousness, what came before the big bang, and what lies beyond our horizons—while taking us on a virtuoso tour of the great breakthroughs of the past and celebrating the men and women who dared to tackle the seemingly impossible and had the imagination to come up with new ways of seeing the world.
Download or read book Introduction to Modern Dynamics written by David D. Nolte and published by Oxford University Press, USA. This book was released on 2019-08-29 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The best parts of physics are the last topics that our students ever see. These are the exciting new frontiers of nonlinear and complex systems that are at the forefront of university research and are the basis of many high-tech businesses. Topics such as traffic on the World Wide Web, the spread of epidemics through globally-mobile populations, or how the synchronization of global economies are governed by universal principles just as profound as Newton's laws. Nonetheless, the conventional university physics curriculum reserves most of these topics for graduate study because of the assumed need for advanced mathematics. However, by using only linear algebra and calculus, combined with exploratory computer simulations, all of these topics become accessible to advanced undergraduate students. The structure of this book combines the three main topics of modern dynamics - chaos theory, dynamics on complex networks, and general relativity - into a coherent framework. By taking a geometric view of physics, concentrating on the time evolution of physical systems as trajectories through abstract spaces, these topics share a common and simple mathematical language through which any student can gain a unified physical intuition. Given the growing importance of complex dynamical systems in many areas of science and technology, this text provides students with an up-to-date foundation for their future careers. This second edition has an updated introductory chapter and has added key topics to help students prepare for their GRE physics subject exam. It also has expanded chapters on Hamiltonian dynamics, Hamiltonian chaos, and Econophysics, while increasing the number of homework problems at the end of each chapter. The second edition is designed to fulfill the textbook needs of any advanced undergraduate course in mechanics.
Download or read book Pi in Nature Art and Culture written by Marcel Danesi and published by BRILL. This book was released on 2020-12-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.
Download or read book Information Consciousness Reality written by James B. Glattfelder and published by Springer. This book was released on 2019-04-10 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.
Download or read book How to Tame a Fox and Build a Dog written by Lee Alan Dugatkin and published by University of Chicago Press. This book was released on 2019-04-14 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tucked away in Siberia, there are furry, four-legged creatures with wagging tails and floppy ears that are as docile and friendly as any lapdog. But, despite appearances, these are not dogs—they are foxes. They are the result of the most astonishing experiment in breeding ever undertaken—imagine speeding up thousands of years of evolution into a few decades. In 1959, biologists Dmitri Belyaev and Lyudmila Trut set out to do just that, by starting with a few dozen silver foxes from fox farms in the USSR and attempting to recreate the evolution of wolves into dogs in real time in order to witness the process of domestication. This is the extraordinary, untold story of this remarkable undertaking. Most accounts of the natural evolution of wolves place it over a span of about 15,000 years, but within a decade, Belyaev and Trut’s fox breeding experiments had resulted in puppy-like foxes with floppy ears, piebald spots, and curly tails. Along with these physical changes came genetic and behavioral changes, as well. The foxes were bred using selection criteria for tameness, and with each generation, they became increasingly interested in human companionship. Trut has been there the whole time, and has been the lead scientist on this work since Belyaev’s death in 1985, and with Lee Dugatkin, biologist and science writer, she tells the story of the adventure, science, politics, and love behind it all. In How to Tame a Fox, Dugatkin and Trut take us inside this path-breaking experiment in the midst of the brutal winters of Siberia to reveal how scientific history is made and continues to be made today. To date, fifty-six generations of foxes have been domesticated, and we continue to learn significant lessons from them about the genetic and behavioral evolution of domesticated animals. How to Tame a Fox offers an incredible tale of scientists at work, while also celebrating the deep attachments that have brought humans and animals together throughout time.
Download or read book The Taming of Chance written by Ian Hacking and published by Cambridge University Press. This book was released on 1990-08-31 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines detailed scientific historical research with characteristic philosophic breadth and verve.
Download or read book Infinite Powers written by Steven Strogatz and published by Eamon Dolan Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
Download or read book Chaos and Cosmos written by Karen Ann Lang and published by Cornell University Press. This book was released on 2006 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Writing in 1940, the prominent German art historian Erwin Panofsky asked, "How, then, is it possible to build up art history as a respectable scholarly discipline, if its objects come into being by an irrational and subjective process?" In Chaos and Cosmos, Karen Lang addresses the power of art to resist the pressures of the transcendental vantage point-history. Uncovering the intellectual and cultural richness of the early years of academic art history in Germany--the period from the 1880s to 1940--she explores various attempts within art history to transform aesthetic phenomena--chaos--into the cosmos of a systematic, unified field of inquiry.Lang starts by examining Panofsky's approach to aesthetic phenomena in his early theoretical essays alongside Ernst Cassirer's contemporaneous publications on the substance and function of scientific concepts (and on Einstein's theory of relativity). She then turns to the subject of aesthetic judgment through a rereading of Kantian subjectivity and Kant's uneasy legacy in art history. From here, Lang considers the different organizing theories of symbolic form proposed by Aby Warburg and Cassirer, as well as Goethe's inspiration for both; Alois Riegl's notion of age value and Walter Benjamin's conceptions of the aura; concluding with an extended examination of objectivity and the figure of the art connoisseur.Extensively illustrated with works of art from the Enlightenment to the present day, this venturesome book illuminates an intellectual legacy that has profoundly shaped the study of the history of art in ways that have, until now, been largely unacknowledged. Addressing the interplay of chaos and cosmos in terms of history, art history, philosophy, and epistemology, Lang traces shifts in point of view in art history and the way these shifts change aesthetic objects into historical objects, and even objects of knowledge.
Download or read book The Physics of Wall Street written by James Owen Weatherall and published by Houghton Mifflin Harcourt. This book was released on 2013 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A young scholar tells the story of the physicists and mathematicians who created the models that have become the basis of modern finance and argues that these models are the "solution" to--not the source of--our current economic woes.
