Chaos theory Books

Book SynopsisThis is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians. The aim of the book is to bridge the gap between the elementary accounts of turbulence found in undergraduate texts, and the more rigorous monographs on the subject. Throughout, the book combines the maximum of physical insight with the minimum of mathematical detail. Chapters 1 to 5 may be appropriate as background material for an advanced undergraduate or introductory postgraduate course on turbulence, while chapters 6 to 10 may be suitable as background material for an advanced postgraduate course on turbulence, or act as a reference source for professional researchers.This second edition covers a decade of advancement in the field, streamlining the original content while updating the sections where the subject has moved on. The expanded content includes large-scale dynamics, stratified & rotating turbulence, the increased power of direct numerical simulation, two-dimensional turbulence, Magnetohydrodynamics, and turbulence in the core of the EarthTable of ContentsTHE CLASSICAL PICTURE OF TURBULENCE; FREELY-DECAYING, HOMOGENEOUS TURBULENCE; SPECIAL TOPICS

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Book SynopsisThis book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated functions. Fractals are introduced as self-similar geometric objects and analyzed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia Sets and the Mandelbrot Set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations.The book is richly illustrated and includes over 200 end-of-chapter exercises. A flexible format and a clear and succinct writing style make it a good choice for introductory courses in chaos and fractals.Trade Review... obtains top marks ... For any lecturer or teacher looking for a text on these subjects, this book is worthy of your consideration. * Gazette of the Australian Mathematical Society *For the right audience and instructor, this is a wonderful book. With considerable effort on both sides it can take a wide audience with modest mathematics to a reasonable understanding of what is behind much of the complex phenomena seen in modern mathematical models of the physical universe. * Thomas B. Ward, Zentralblatt MATH *This is an excellent book, and is highly recommended. * Mark Hunacek, Mathematical Association of America *The only textbook on chaos and fractals for non-science and mathematics majors. Covers central phenomena and ideas of chaos and fractals in a careful, intellectually honest, but accessible way. * L'Enseignement Mathematique (2) 59 *Chaos and fractals are two intertwined concepts that have revolutionized many areas of science and renewed popular interest in mathematics over the past few decades. Feldman's book is a rich resource for anyone who wants a deeper understanding of these subjects without the need for advanced mathematics. * Julien Clinton Sprott, University of Wisconsin-Madison *The style of writing is easy on the reader. The explanations are clear and illustrated with many diagrams and side notes....[Feldman] has produced an excellent book. * John Sykes, Mathematics in School *David P. Feldman provides a delightful and thoughtful introduction to chaos and fractals requiring only a good background in algebra. The formal treatment of nonlinear dynamics, chaotic behavior, Lyapunov exponents, and fractal dimensions is leavened with creative analogies and many helpful and visually attractive figures and diagrams. Even more mathematically sophisticated readers will find this book a good starting point in exploring the complex and beguiling realms of chaos and fractals. * Robert C. Hilborn, Associate Executive Officer, American Association of Physics Teachers *For the right audience and instructor, this is a wonderful book. With considerable effort on both sides it can take a wide audience with modest mathematics to a reasonable understanding of what is behind much of the complex phenomena seen in modern mathematical models of the physical universe. * Thomas B. Ward, Durham University *The book is very well produced, with excellent diagrams and very informative notes provided beside the main text. It also provides an extensive list of references for further reading. * Scottish Mathematical Council Journal *[haos and Fractals] offers at least the possibility of a radically different trajectory for school teaching, providing a motivated pathway to a lot of fascinating mathematics not normally considered accessible ... * Danny Yee, Danny Reviews *Table of ContentsI. INTRODUCING DISCRETE DYNAMICAL SYSTEMS; II. CHAOS; III. FRACTALS; IV. JULIA SETS AND THE MANDELBROT SET; V. HIGHER-DIMENSIONAL SYSTEMS; VI. CONCLUSION; VII. APPENDICES

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Book SynopsisThe goal of this third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is the same as previous editions: to provide a good foundation - and a joyful experience - for anyone whoâd like to learn about nonlinear dynamics and chaos from an applied perspective.The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.The prerequisites are comfort with multivariable calculus and linear algebra, as well as a first course in physics. Ideas from probability, complex analysis, and Fourier analysis are invoked, but they're either worked out from scratch or can be safely skipped (or accepted on faith).Changes to this edition include substantial exercises about conceptual models of climate change, an updated treatment of the SIR model of epidemics, and amendments (based on recent research) about the Selkov model of oscillatory glycolysis. Equations, diagrams, and every word has been reconsidered and often revised. There are also about 50 new references, many of them from the recent literature.The most notable change is a new chapter. Chapter 13 is about the Kuramoto model.The Kuramoto model is an icon of nonlinear dynamics. Introduced in 1975 by the Japanese physicist Yoshiki Kuramoto, his elegant model is one of the rare examples of a high-dimensional nonlinear system that can be solved by elementary means.Students and teachers have embraced the book in the past, its general approach and framework continue to be sound.Table of ContentsChapter 1. Overview. Chapter 2. Flows on the Line. Chapter 3. Bifurcations. Chapter 4. Flows on the Circle. Chapter 5. Linear Systems. Chapter 6. Phase Plane. Chapter 7. Limit Cycles. Chapter 8. Bifurcations Revisited. Chapter 9. Lorenz Equations. Chapter 10. One-Dimensional Maps. Chapter 11. Fractals. Chapter 12. Strange Attractors. Chapter 13. Kuramoto Model.

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Book SynopsisUncover one of the most exciting frontiers of modern physics in this fascinating, insightful and accessible overview of Chaos theory.An exceedingly readable introduction to a new intellectual world' ObserverFrom the turbulence of the weather to the complicated rythmns of the human heart, chaos' is at the centre of our day to day lives. Cutting across several scientific disciplines, James Gleick explores and elucidates the science of the unpredicatable with an immensely readable narrative style and flair.An awe-inspiring book. Reading Chaos gave me the sensation that someone had just found the light-switch' Douglas AdamsTrade ReviewFascinating... Almost every paragraph contains a jolt * New York Times *Highly entertaining...a startling look at newly discovered universal laws * Chicago Tribune *

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Book SynopsisLiterature and Ecotheology: From Chaos to Cosmos challenges us in a time of climate crisis to find more common ground between the dual projects of ecocriticism and ecotheology.This book argues that in our postsecular age, literature has become an important repository of theological wisdom that can, like formal work in ecotheology, provide the moral grounds for environmental care. However, for any cosmological understanding to be adequate to the challenges before us, it must be responsive to the often-painful contingencies and uncertainties that inhere in the cosmos, something that both ecocriticism and ecotheology have often neglected. After a treatment of the ecocritical and ecotheological questions that pertain to the religious/secular divide, the study then turns to four contemporary American writersAnnie Dillard, Cormac McCarthy, Marilynne Robinson, and David James Duncanas examples. Each uses the contingency of literary form and its promise of wholeness in order t

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Book SynopsisWhat is time? The Janus Point offers a ground-breaking solution to one of the greatest mysteries in physics.For over a century, the greatest minds have sought to understand why time seems to flow in one direction, ever forward. In The Janus Point, Julian Barbour offers a radically new answer: it doesn't.At the heart of this book, Barbour provides a new vision of the Big Bang - the Janus Point - from which time flows in two directions, its currents driven by the expansion of the universe and the growth of order in the galaxies, planets and life itself. What emerges is not just a revolutionary new theory of time, but a hopeful argument about the destiny of our universe.'Both a work of literature and a masterpiece of scientific thought' Lee Smolin, author of The Trouble with Physics'Profound...original...accessible to anyone who has pondered the mysteries of space and time' Martin Rees, Astronomer Royal 'Takes on fundamental questions, offering a new perspective on how the Universe started and where it may be headed' Science MagazineTrade ReviewJulian Barbour is a profound and original thinker with the boldness to tackle some of nature's deepest problems. He is also a fine writer, and this renders his book - despite its conceptual depth - accessible to anyone who has pondered the mysteries of space and time -- Martin Rees, Astronomer Royal and former President of the Royal SocietyWith a rare humanity and a perspective based on a lifetime of study, Barbour writes a book that is both a work of literature and a masterpiece of scientific thought -- Lee Smolin, author of The Trouble with PhysicsThe origin of the arrow of time is arguably the most important conceptual problem in cosmology, and the prospect that it can be solved in a universe where time flows "backward" in the far past is as exciting as it is provocative. In this engaging book, Julian Barbour conveys this excitement admirably -- Sean Carroll, author of From Eternity to HereThe Janus Point shows history-in-the-making: a project to recast the foundations of all of cosmology, gravity, thermodynamics and the arrow of time. The book has given me a lot to ponder. As Gauss said of Riemann's habilitation lecture, '[it] exceeded my expectations' -- Bill Unruh, Professor of Physics at University of British ColumbiaJulian Barbour has no peer when it comes to explaining scientific ideas in a way that is accessible without being simplistic -- Neal Stephenson, author of Snow CrashJulian Barbour has discovered an unexpected and remarkably simple feature of Newtonian dynamics that is the basis of his seductive and eloquently presented explanation of the history of the universe, even time itself -- Michael Victor Berry, Professor of Physics (Emeritus) at Bristol UniversityThis delightful, provocative book is a cosmic physics adventure, enlivened with history and poetry -- Theodore A. Jacobson, Professor of Physics at University of MarylandJulian Barbour has a complete mastery of the history of ideas yet a remarkable lightness and clarity in explaining what are profound concepts. The Janus Point is controversial and gripping, an extraordinary introduction to his view of the universe -- Pedro G. Ferreira, author of The Perfect TheoryBarbour takes on fundamental questions, offering a new perspective - illustrated with lucid examples and poetically constructed prose - on how the Universe started (or more precisely, how it did not start) and where it may be headed. This book is an engaging read, which both taught me something new about meat-and-potatoes physics and reminded me why asking fundamental questions can be so fun -- Matthew Johnson * Science *A closely argued, substantive take on one of the biggest unsolved mysteries of physics, written by someone who has wrestled with not only the physics, but also the history and philosophy relevant to his subject. What's more, Barbour's approach, unlike many in the popular science game, is to publish only when he thinks he has something worth saying. That alone is enough to make him worth listening to -- Michael Brooks * Nautilus *Julian Barbour is one that rare breed, an optimistic scientist, and his engrossing The Janus Point not only turns accepted thinking about the universe on its head...but also suggests our very understanding of the nature of time needs to be reappraised * Choice *Any reader willing to engage with Barbour's ideas will come away enlightened -- Sidney Perkowitz * Physics World *

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Book Synopsis2024 Nautilus Book Award Winner * The Marginalian Favorite Books of 2023An electrifying introduction to complexity theory, the science of how complex systems behave, that explains the interconnectedness of all things and that Deepak Chopra says, “will change the way you understand yourself and the universe.”Nothing in the universe is more complex than life. Throughout the skies, in oceans, and across lands, life is endlessly on the move. In its myriad forms—from cells to human beings, social structures, and ecosystems—life is open-ended, evolving, unpredictable, yet adaptive and self-sustaining. Complexity theory addresses the mysteries that animate science, philosophy, and metaphysics: how this teeming array of existence, from the infinitesimal to the infinite, is in fact a seamless living whole and what our place, as conscious beings, is within it.The implications of complexity theory are profound, providing insight into everything from the permeable boundaries of our bodies to the nature of consciousness. Notes on Complexity is an invitation to trade our limited, individualistic view for the expansive perspective of a universe that is dynamic, cohesive, and alive—a whole greater than the sum of its parts. Physician, scientist, and philosopher Neil Theise takes us to the exhilarating frontiers of human knowledge and in the process restores wonder and meaning to our experience of the everyday.

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Book SynopsisUsing the explosion in the use of chaos theory, this book examines the relationship between science and other disciplines as well as the place of scientific knowledge within our broader culture.Trade Review"Over the next several decades, we will continue to see the issues raised in Borrowed Knowledge and the Challenge of Learning across Disciplines as important to understanding both the natural and human sciences." - Douglas Kiel, University of Texas at Dallas"

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Book SynopsisA 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.Table of ContentsBlasting Off. From Chaos to Cosmos to Cash. The Alligator. The Fractal-The Breakaway Trade. The Awesome Oscillator. The Market Accelerator. Trading in the Zones. The Balance Line Trades. Techniques for Taking Profits. Tying It All Together. How to Become a Master Trader. Bibliography. About the Author. Index.

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Book SynopsisA leading pioneer in the field offers practical applications of this innovative science. Peters describes complex concepts in an easy-to-follow manner for the non-mathematician. He uses fractals, rescaled range analysis and nonlinear dynamical models to explain behavior and understand price movements. These are specific tools employed by chaos scientists to map and measure physical and now, economic phenomena.Table of ContentsFRACTAL TIME SERIES. Failure of the Gaussian Hypothesis. A Fractal Market Hypothesis. FRACTAL (R/S) ANALYSIS. Measuring Memory--The Hurst Process and R/S Analysis. Testing R/S Analysis. Finding Cycles: Periodic and Nonperiodic. APPLYING FRACTAL ANALYSIS. Case Study Methodology. Dow Jones Industrials, 1888-1990: An Ideal Data Set. S&P 500 Tick Data, 1989-1992: Problems with Oversampling. Volatility: A Study in Antipersistence. Problems with Undersampling: Gold and U.K. Inflation. Currencies: A True Hurst Process. FRACTAL NOISE. Fractional Noise and R/S Analysis. Fractal Statistics. Applying Fractal Statistics. NOISY CHAOS. Noisy Chaos and R/S Analysis. Fractal Statistics, Noisy Chaos, and the FMH. Understanding Markets. Appendices. Bibliography. Glossary. Index.

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Book SynopsisIn the theory of random processes there are two that are fundamental, and occur over and over again, often in surprising ways. There is a real sense in which the deepest results are concerned with their interplay. One, the Bachelier Wiener model of Brownian motion, has been the subject of many books. The other, the Poisson process, seems at first sight humbler and less worthy of study in its own right. Nearly every book mentions it, but most hurry past to more general point processes or Markov chains. This comparative neglect is ill judged, and stems from a lack of perception of the real importance of the Poisson process. This distortion partly comes about from a restriction to one dimension, while the theory becomes more natural in more general context. This book attempts to redress the balance. It records Kingman''s fascination with the beauty and wide applicability of Poisson processes in one or more dimensions. The mathematical theory is powerful, and a few key results often produTrade Review'provides an enjoyable and clearly written introduction to the structure and properties of Poisson processes ... Thanks to skillful steering away from, and around, technicalities, it is widely accessible. If you don't know the story, read this book - you will then know what you are missing. If you do know it, a browse through the book, particularly the later chapters, is still worthwhile for interesting perspectives on several areas.' P.J. Donnelly, Queen Mary and Westfield College, Short Book Reviews (Publication of the International Statistical Institute)'It records the author's fascination with the beauty and wide applicability of Poisson processes in one or more dimensions.' L'Enseignement Mathématique, 3-4, 1993'Every mathematician with some knowledge of stochastic processes is aware of the interest and importance of the Poisson process. Therefore it is very useful to have now a book which is devoted to a systematic treatment of Poisson processes. The book ... fulfills the expectations one might have when a famous elder author writes a book on a classic topic. It gives the basic facts in a clear and lucid way. It is shown how the theory can be applied to interesting problems of astronomy, queueing and traffic, etc., and these examples are studied very thoroughly and deeply, giving even the specialist new insights ... an excellent basis for lectures or seminars .... a valuable gift for a young mathematician to stimulate his or her interest in stochastic processes and in applied probability in general.' Mathematical Reviews, Issue 94a'The presentation everywhere is rigorous without being fuzzy about measure theoretical details; this would make the monograph suitable for many readrs, who are either not interested or not trained in measure theoretical subtleties ... a useful addition to the literature both for various beginners as well as for lecturers in the theory of stochastic processes who would find in it a rich array of topics presented clearly.' S.D. Chatterji, Mathematics Abstracts, 773/93The Poisson process is surely the most beautiful object in probability theory, and John Kingman is its most gifted expositor. One might have been forgiven for thinking that there would be little new to say, but in fact this book is studded with new and fascinating insights. It is rare to find a book that simultaneously addresses the beginner and the expert. If there were a prize for the wisest probability book of the decade it would have to go to Bristol's Vice-Chancellor. * David Kendall, Cambridge, Journal of Royal Statistical Society, 1994 *Table of ContentsStochastic models for random sets of points; Poisson processes in general spaces; Sums over Poisson processes; Poisson processes on the line; Marked Poisson processes; Cox processes; Stochastic geometry; Complete random measures; The Poisson-Dirichlet distribution.

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Book SynopsisThis book brings together concepts from the important fields of semiconductor physics and nonlinear dynamics to examine transport phenomena in semiconductor systems. In doing so the wonders of nonlinearities, instabilities and chaos are revealed in a book that will be of great interest to semiconductor physicists and nonlinear scientists alike.Table of Contents1. Semiconductors as continuous nonlinear dynamic systems; 2. Concepts of nonlinear charge transport in semiconductors; 3. Pattern formation and oscillatory instabilities in semiconductors; 4. Impact ionization induced impurity breakdown; 5. Nonlinear carrier dynamics in crossed electric and magnetic fields; 6. Stationary and oscillating domains in superlattices; 7. Spatio-temporal chaos.

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Book SynopsisThis book contains reviews of the 'nonlinear revolution' by two dozen world experts.Table of ContentsPart I. Dynamic Systems Bifurcation Theory and Chaos: 1. Chaos in random dynamical systems V. M. Gunldach; 2. Controlling chaos using embedded unstable periodic orbits: the problem of optimal periodic orbits B. R. Hunt and E. Ott; 3. Chaotic tracer dynamics in open hydrodynamical flows G. Karolyi, A. Pentek, T. Tel and Z. Toroczkai; 4. Homoclinic chaos L. P. Shilnikov; Part II. Spatially Extended Systems: 5. Hydrodynamics of relativistic probability flows I. Bialynicki-Birula; 6. Waves in ionic reaction-diffusion-migration systems P. Hasal, V. Nevoral, I. Schreiber, H. Sevcikova, D. Snita, and M. Marek; 7. Anomalous scaling in turbulence: a field theoretical approach V. Lvov and I. Procaccia; 8. Abelian sandpile cellular automata M. Markosova; 9. Transport in an incompletely chaotic magnetic field F. Spineanu; Part III. Dynamical Chaos Quantum Physics and Foundations Of Statistical Mechanics: 10. Non-equilibrium statistical mechanics and ergodic theory L. A. Bunimovich; 11. Pseudochaos in statistical physics B. Chirikov; 12. Foundations of non-equilibrium statistical mechanics J. P. Dougherty; 13. Thermomechanical particle simulations W. G. Hoover, H. A. Posch, C. H. Dellago, O. Kum, C. G. Hoover, A. J. De Groot and B. L. Holian; 14. Quantum dynamics on a Markov background and irreversibility B. Pavlov; 15. Time chaos and the laws of nature I. Prigogine and D. J. Driebe; 16. Evolutionary Q and cognitive systems: dynamic entropies and predictability of evolutionary processes W. Ebeling; 17. Spatiotemporal chaos information processing in neural networks H. Szu; 18. Phase transitions and learning in neural networks C. Van den Broeck; 19. Synthesis of chaos A. Vanecek and S. Celikovsky; 20. Computational complexity of continuous problems H. Wozniakowski; Part IV. Complex Systems As An Interface Between Natural Sciences and Environmental Social and Economic Sciences: 21. Stochastic differential geometry in finance studies V. G. Makhankov; Part V. Conference Banquet Speech: Where will the future go? M. J. Feigenbaum.

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Book SynopsisThe aim of this book is to make it possible for anyone with a comparatively modest background in mathematics to understand the theory well enough to follow the arguments in papers in which it is used. This controversial and intriguing book will find applications as a text and guide to theoretical biologists, and scientists.Table of ContentsPreface; 1. Introduction; 2. Background; 3. The seven elementary catastrophes; 4. The geometry of the seven elementary catastrophes; 5. Applications in physics; 6. Applications in the social sciences; 7. Applications in biology; 8. Morphogenesis; 9. Conclusions; Exercises; References; Author index; Subject index.

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Book SynopsisThe aim of this book is to make it possible for anyone with a comparatively modest background in mathematics to understand the theory well enough to follow the arguments in papers in which it is used. This controversial and intriguing book will find applications as a text and guide to theoretical biologists, and scientists.Table of ContentsPreface; 1. Introduction; 2. Background; 3. The seven elementary catastrophes; 4. The geometry of the seven elementary catastrophes; 5. Applications in physics; 6. Applications in the social sciences; 7. Applications in biology; 8. Morphogenesis; 9. Conclusions; Exercises; References; Author index; Subject index.

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Book SynopsisThis 1989 book is about chaos, fractals and complex dynamics, and is addressed to all people who have some familiarity with computers and enjoy using them. The mathematics has been kept simple, with few formulae, yet the reader is introduced to and can learn about an area of current scientific research which was scarcely possible before the availability of computers.Table of ContentsForeword: new directions in computer graphics: experimental mathematics; Preface to the German edition; 1. Researchers discover chaos; 2. Between order and chaos: Feigenbaum diagrams; 3. Strange attractors; 4. Greetings from Sir Isaac; 5. Complex frontiers; 6. Encounter with the gingerbread man; 7. New sights - new insights; 8. Fractal computer graphics; 9. Step by step into chaos; 10. Journey to the land of infinite structures; 11. Building blocks for graphics experiments; 12. Pascal and the fig-trees; 13. Appendices; Index.

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Book SynopsisThis book, based on lectures given in Rome in 1987, is an account of systems that display a chaotic time evolution. The evolution, though deterministic, has features more characteristic of stochastic systems. The analysis presented here is based on a technique known as time series analysis.Trade Review"...deals with the aspects of dynamical systems which are more closely related with ergodic theory, namely the properties of the invariant measures generated by the time evolutions." Mathematics and Computers in Simulation"...an excellent survey of the current theoretical status of an exciting subject. I think it is accessible to anyone with undergraduate mathematics, and well worth reading." SIAM Reviews"...a fine reference book for experts in this field." The UMAP JournalTable of ContentsForeword; Introduction; Part I. Steps to a Deterministic Interpretation of Chaotic Signals: 1. Descriptions of turbulence; 2. A bit more on turbulence; 3. The Hénon mapping; 4. Capacity and Hausdorff dimension; 5. Attracting sets and attractors; 6. Extracting geometric information from a times series; Part II. The Ergodic Theory of Chaos: 7. Invariant probability measures; 8. Physical measures; 9. Characteristic exponents; 10. Invariant manifolds; 11. Axiom A and structural stability; 12. Entropy; 13. Dimensions; 14. Resonances; 15. Conclusions; References; Bibliography; Index.

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Book SynopsisThis 1989 book is about chaos, fractals and complex dynamics, and is addressed to all people who have some familiarity with computers and enjoy using them. The mathematics has been kept simple, with few formulae, yet the reader is introduced to and can learn about an area of current scientific research which was scarcely possible before the availability of computers. The introduction is achieved through the extensive use of computer graphics. The book is divided into two main parts: in the first the most interesting problems are described, with, in each case, a solution in the form of a computer program. A large number of exercises enable the reader to undertake his or her own experimental work. In the second part, example programs are given for specific machines and operating systems; details refer to MS-DOC and Turbo-Pascal, UNIX 4.2 BSD with Berkley Pascal and C. Other implementations of the graphics routines are given for Apple Macintosh, Apple IIE and IIGS and Atari ST.Table of ContentsForeword: new directions in computer graphics: experimental mathematics; Preface to the German edition; 1. Researchers discover chaos; 2. Between order and chaos: Feigenbaum diagrams; 3. Strange attractors; 4. Greetings from Sir Isaac; 5. Complex frontiers; 6. Encounter with the gingerbread man; 7. New sights - new insights; 8. Fractal computer graphics; 9. Step by step into chaos; 10. Journey to the land of infinite structures; 11. Building blocks for graphics experiments; 12. Pascal and the fig-trees; 13. Appendices; Index.

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Book SynopsisThis book, the first in the Cambridge Nonlinear Science Series, presents the fundamentals of chaos theory in conservative systems, providing a systematic study of the theory of transitional states of physical systems which lie between deterministic and chaotic behaviour.Trade Review'This book contains information that will benefit both students and researchers in many areas of physics, mathematics and other sciences who are working on problems in chaos, statistical mechanics, spatial patterns, symmetries, etc.' Contemporary PhysicsTable of ContentsPart I. General Concepts: Hamiltonian dynamics; Stability and chaos; Part II. Dymanic Order and Choas: The stochastic layer; Stochastic layer - stochastic sea transition; The stochastic web; Uniform web; Part III. Spatial Patterns: Two-dimensional patterns with quasi-symmetry; Two-dimensional hydrodynamic patterns with symmetry and quasi-symmetry; Chaos and streamlines; Part IV. Miscellanea: Patterns in art and nature; References; Index.

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Book SynopsisThis book describes advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally, and to transport by deterministic diffusion in particular. The author presents the basic tools of dynamical systems theory, such as dynamical instability, topological analysis, periodic-orbit methods, Liouvillian dynamics, dynamical randomness and large-deviation formalism. These tools are applied to chaotic scattering and to transport in systems near equilibrium and maintained out of equilibrium. Chaotic Scattering is illustrated with disk scatterers and with examples of unimolecular chemical reactions and then generalized to transport in spatially extended systems. This book will be bought by researchers interested in chaos, dynamical systems, chaotic scattering, and statistical mechanics in theoretical, computational and mathematical physics and also in theoretical chemistry.Trade Review"...gives both the background and an overview of recent developments in nonequilibrium statistical mechanics, to which the author himself has made major contributions...an important reference book as well as an ideal tool for advanced students in the expanding and important field of statistical physics." Physics Today"The book is nicely written...allows one to see some topics in dynamical systems with new eyes." Mathematical ReviewsTable of Contents1. Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4. Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic modes of diffusion; 8. Systems maintained out of equilibrium; 9. Noises as microscopic chaos.

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Book SynopsisThis book, the first in the Cambridge Nonlinear Science Series, presents the fundamentals of chaos theory in conservative systems, providing a systematic study of the theory of transitional states of physical systems which lie between deterministic and chaotic behaviour. The authors' treatment of transitions to chaos, the theory of stochastic layers and webs, and the numerous applications of this theory, particularly to pattern symmetry, will make the book of importance to scientists from many disciplines.The authors have been meticulous in providing a detailed presentation of the material, enabling the reader to learn the necessary computational methods and to apply them in other problems. The inclusion of a significant amount of computer graphics is also an important aid to understanding. The final section of the book contains a fascinating collection of patterns in art and living nature. The book will be of interest to graduate students and researchers in physics and mathematics whoTrade Review'This book contains information that will benefit both students and researchers in many areas of physics, mathematics and other sciences who are working on problems in chaos, statistical mechanics, spatial patterns, symmetries, etc.' Contemporary PhysicsTable of ContentsPart I. General Concepts: Hamiltonian dynamics; Stability and chaos; Part II. Dymanic Order and Choas: The stochastic layer; Stochastic layer - stochastic sea transition; The stochastic web; Uniform web; Part III. Spatial Patterns: Two-dimensional patterns with quasi-symmetry; Two-dimensional hydrodynamic patterns with symmetry and quasi-symmetry; Chaos and streamlines; Part IV. Miscellanea: Patterns in art and nature; References; Index.

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Book SynopsisThis book brings together concepts from the important fields of semiconductor physics and nonlinear dynamics to examine transport phenomena in semiconductor systems. In doing so the wonders of nonlinearities, instabilities and chaos are revealed in a book that will be of great interest to semiconductor physicists and nonlinear scientists alike.Table of Contents1. Semiconductors as continuous nonlinear dynamic systems; 2. Concepts of nonlinear charge transport in semiconductors; 3. Pattern formation and oscillatory instabilities in semiconductors; 4. Impact ionization induced impurity breakdown; 5. Nonlinear carrier dynamics in crossed electric and magnetic fields; 6. Stationary and oscillating domains in superlattices; 7. Spatio-temporal chaos.

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Book SynopsisA textbook on the theory of nonlinear dynamical systems for non-mathematical final-year undergraduate or graduate students, or as a reference book for researchers, in the physical and social sciences. It provides a comprehensive introduction including linear systems, stability theory of nonlinear systems, bifurcation theory, chaotic dynamics. Visit www.cambridge.org/resources/economicsTrade Review'… the book is well written and contains lots of useful information. It will serve as a good reference on dynamical systems both for students and researchers.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics AbstractsTable of Contents1. Statics and dynamics: some elementary concepts; 2. Review of linear systems; 3. Stability of fixed points; 4. Invariant and attracting sets, periodic and quasiperiodic orbits; 5. Local bifurcations; 6. Chaotic sets and chaotic attractors; 7. Characteristic exponents, fractals, homoclinic orbits; 8. Transition to chaos; 9. The ergodic approach; 10. Deterministic systems and stochastic processes.

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Book SynopsisThis book contains reviews of the 'nonlinear revolution' by two dozen world experts.Table of ContentsPart I. Dynamic Systems Bifurcation Theory and Chaos: 1. Chaos in random dynamical systems V. M. Gunldach; 2. Controlling chaos using embedded unstable periodic orbits: the problem of optimal periodic orbits B. R. Hunt and E. Ott; 3. Chaotic tracer dynamics in open hydrodynamical flows G. Karolyi, A. Pentek, T. Tel and Z. Toroczkai; 4. Homoclinic chaos L. P. Shilnikov; Part II. Spatially Extended Systems: 5. Hydrodynamics of relativistic probability flows I. Bialynicki-Birula; 6. Waves in ionic reaction-diffusion-migration systems P. Hasal, V. Nevoral, I. Schreiber, H. Sevcikova, D. Snita, and M. Marek; 7. Anomalous scaling in turbulence: a field theoretical approach V. Lvov and I. Procaccia; 8. Abelian sandpile cellular automata M. Markosova; 9. Transport in an incompletely chaotic magnetic field F. Spineanu; Part III. Dynamical Chaos Quantum Physics and Foundations Of Statistical Mechanics: 10. Non-equilibrium statistical mechanics and ergodic theory L. A. Bunimovich; 11. Pseudochaos in statistical physics B. Chirikov; 12. Foundations of non-equilibrium statistical mechanics J. P. Dougherty; 13. Thermomechanical particle simulations W. G. Hoover, H. A. Posch, C. H. Dellago, O. Kum, C. G. Hoover, A. J. De Groot and B. L. Holian; 14. Quantum dynamics on a Markov background and irreversibility B. Pavlov; 15. Time chaos and the laws of nature I. Prigogine and D. J. Driebe; 16. Evolutionary Q and cognitive systems: dynamic entropies and predictability of evolutionary processes W. Ebeling; 17. Spatiotemporal chaos information processing in neural networks H. Szu; 18. Phase transitions and learning in neural networks C. Van den Broeck; 19. Synthesis of chaos A. Vanecek and S. Celikovsky; 20. Computational complexity of continuous problems H. Wozniakowski; Part IV. Complex Systems As An Interface Between Natural Sciences and Environmental Social and Economic Sciences: 21. Stochastic differential geometry in finance studies V. G. Makhankov; Part V. Conference Banquet Speech: Where will the future go? M. J. Feigenbaum.

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Book SynopsisThis primer on nonlinear dynamics for researchers and graduate students of astrophysics provides the necessary investigative tools to explore chaotic and complex phenomena. Comprehensive mathematical concepts and techniques are introduced in the first part of the book, before being applied to specific astrophysical systems and problems.Trade ReviewReview of the hardback: 'There are countless books on dynamical systems, chaos, nonlinear dynamics, and so on, but this is the best for the all-round astrophysicist. It is not a straight-laced textbook or a how-to manual, but a good-natured guidebook to the literature. … you will end up much better educated, learning lots of facts and insights into a wide range of topics from Liapounov indicators to the theory of turbulence. … Without eschewing deep results, the book is as readable as a novel, and like any decent novel, deserves to be read from cover to cover …' The ObservatoryTable of ContentsPart I. Dynamical Systems - General: 1. Introduction to Part I; 2. Astrophysical examples; 3. Mathematical properties of dynamical systems; 4. Properties of chaotic dynamics; 5. Analysis of time series; 6. Regular and irregular motion in Hamiltonian systems; 7. Extended systems - instabilities and patterns; Part II. Astrophysical Applications: 8. Introduction to Part II; 9. Planetary, stellar and galactic dynamics; 10. Irregularly variable astronomical point sources; 11. Complex spatial patterns in astrophysics; 12. Topics in astrophysical fluid dynamics; References; Index.

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Book SynopsisNonlinear dynamical systems (NDS) theory is the study of how complex processes unfold over time and is sometimes known as chaos theory or complexity theory. This book reports recent landmark developments and the state of the art in NDS science in psychological theory and research.Trade Review'Just as did Henri Bergson's L'Evolution Créatrice in 1907, James Gleick's Chaos in 1987 crystallized a community of concern for nonlinear dynamic systems. Major progress thereafter is documented in this collection of essays. The term 'nonlinear' designates any departure from the bedrock of human experience in linear causality and expresses the fact that, while there is neither a single nonlinear science, nor can there be, there is mutual enrichment. The fundamental insight endures, that given the right initial conditions, order emerges from disorder in defiance of the laws of thermodynamics. These chapters provide a new set of initial conditions for the growth of shared knowledge and competence among scholars addressing 'NDS' in psychology.' Walter J. Freeman, University of California, Berkeley'This collection of articles by leaders in the field shows how psychology is poised to move beyond the linear, static models of the past to a deeper understanding of complex and chaotic human behavior.' Julien Clinton Sprott, University of Wisconsin, Madison'The sciences of complexity constitute a source of ideas, methods, and ways of thinking that can deepen understanding of psychology's defining problems. The essential first step in drawing upon this source is relinquishing the conventional metaphors of psychology inherited from philosophy, neurology, and human artifacts, and embracing, in their stead, the metaphor of self-organization - of systems and behaviors composing themselves as they proceed. For psychologists of all stripes, the chapters in this volume give ample reasons for considering this first step and, if they are inclined to take it, ample encouragement to travel further.' Michael T. Turvey, University of Connecticut and Haskins Laboratories'This is an excellent, very useful book. The editors have assembled a stellar international cast of leaders in nonlinear dynamics and psychology, and the book provides both broad and deep coverage of 'hot' areas of contemporary theory and research. Generous and current reference sections, a well-written introductory chapter, and the rigor of the individual contributions combine to make this book useful as a graduate-level text and as a resource for veterans in the field.' David Schuldberg, University of Montana, MissoulaTable of Contents1. Introduction to nonlinear dynamics and complexity Stephen J. Guastello and Larry S. Liebovitch; 2. Collective intelligence: observations and models William Sulis; 3. Neurodynamics and electro-cortical activity Tullio Minelli; 4. Psychophysics Robert A. M. Gregson; 5. Temporal patterns in perceptual behavior: implications for dynamics structure D. J. Aks; 6. Embodied and embedded: the dynamics of extracting perceptual visual invariants Patrice Renaud, Sylvain Chartier and Guillaume Albert; 7. Origins of order in cognitive activity Geoff Hollis, Heidi Kloos and Guy C. Van Orden; 8. Nonlinear dynamical systems in developmental psychology Paul van Geert; 9. Developmental psychopathology: maladaptive and adaptive attractors in children's close relationships Erika S. Lunkenheimer and Thomas J. Dishion; 10. Psychopathology: a nonlinear systems view Wolfgang Tschacher and Uli Junghan; 11. Coherence, complexity, and information flow: self-organizing processes in psychotherapy David Pincus; 12. The dynamics of human experience: fundamentals of dynamical social psychology Robin R. Vallacher and Andrej Nowak; 13. Group dynamics: adaptation, coordination, and the emergence of leaders Stephen J. Guastello; 14. Organizational psychology Kevin Dooley; 15. Complexity, evolution and organizational behavior Peter Allen; 16. Agent-based modeling and dynamic network analysis Terrill Frantz and Kathleen Carley; 17. Epilogue: psychology at the edge of chaos Matthjs Koopmans.

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Book SynopsisThe theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.Table of ContentsPreface; 1. Introduction; 2. Linear cocycles; 3. Extremal Lyapunov exponents; 4. Multiplicative ergodic theorem; 5. Stationary measures; 6. Exponents and invariant measures; 7. Invariance principle; 8. Simplicity; 9. Generic cocycles; 10. Continuity; References; Index.

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Book SynopsisThe million-copy New York Times bestseller and finalist for both the Pulitzer Prize and the National Book Award that reveals the science behind chaos theoryA work of popular science in the tradition of Stephen Hawking and Carl Sagan, this 20th-anniversary edition of James Gleick’s groundbreaking bestseller Chaos introduces a whole new readership to chaos theory, one of the most significant waves of scientific knowledge in our time. From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

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Book SynopsisNATIONAL BESTSELLER • From the classroom to the courtroom and from financial markets to supermarkets, an intriguing and illuminating look at how randomness, chance, and probability affect our daily lives that will intrigue, awe, and inspire.“Mlodinow writes in a breezy style, interspersing probabilistic mind-benders with portraits of theorists.... The result is a readable crash course in randomness.” —The New York Times Book ReviewWith the born storyteller's command of narrative and imaginative approach, Leonard Mlodinow vividly demonstrates how our lives are profoundly informed by chance and randomness and how everything from wine ratings and corporate success to school grades and political polls are less reliable than we believe.By showing us the true nature of chance and revealing the psychological illusions that cause us to misjudge the world around us, Mlodinow gives us the tools we need to make more

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Book SynopsisThe author presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex.Trade Review"Feldman succeeds in introducing the reader to the world of dynamic systems and the, almost mythical, chaos that they can produce."---Adhemar Bultheel, European Mathematical Society"[A] gentle and loving introduction to dynamical systems. . . . Chaos and Dynamical Systems is a book for everyone from the layman to the expert."---David S. Mazel, MAA Reviews

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Book SynopsisThe Mathematical Elasticity set contains three self-contained volumes that together provide the only modern treatise on elasticity. They introduce contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells. Each volume contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. An extended preface and extensive bibliography have been added to each volume to highlight the progress that has been made since the original publication.The first book, Three-Dimensional Elasticity, covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. In volume two, Theory of Plates, asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. The objective of Theory of Shells, the final volume, is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural.These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.

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Book SynopsisIntroduces readers to advances in American space exploration. This book discusses ways to capture and redirect asteroids; presents research on the origin of the Moon; weighs in on discoveries like 2003 UB313, a dwarf planet detected in the far outer reaches of our solar system - and, more.Trade Review"[This book] will truly excite anyone interested in the future of space travel... Grounded in real physics, Belbruno's ideas will tantalize the space audience."--Gilbert Taylor, Booklist "A small group of scientists has worked on new orbits that take into account the inherently chaotic motion of object in a multibody system... One of the innovators in what is known as 'capture dynamics', Ed Belbruno, provides a basic and eminently readable introduction to the topic in Fly Me to the Moon."--Jeff Foust, The Space Review "This book does for mathematics what The Double Helix did for biochemistry, without the gossip and diatribe that made The Double Helix so controversial...Overall, this book is a superb introduction to the life of a real mathematician, and a gentle introduction to some very complex mathematics."--Jeff Suzuki, MAA Review "Fly Me to the Moon provides a fast, very readable account of new developments in chaotic celestial mechanics, especially low-fuel space travel, at a level appropriate for a general audience. By the end, nonmathematicians will have gained some intuition about one of the hallmarks of chaos, sensitive dependence on initial conditions, and how chaos can be harnessed to good purpose. All readers will walk away thinking differently about the cosmos. Far from being a clockwork, it will seem more dynamic, more turbulent, and full of diverse possibilities."--Shane Ross, Notices of the American Mathematical Society "Belbruno beautifully describes his novel low-fuel concept in Fly Me to the Moon, using copious sketches to explain his theory without resorting to a single equation... The author has laid out the book very well--a teaser of an introduction with just enough details of the Hiten rescue to whet the appetite, but leaving you hungry for more. The language is friendly yet enticing, with nice snappy chapter lengths and informative illustrations in just the right places. There is a good story line running through the book with little surprises like the author being granted a patent for his special route to the Moon in 2003, with many more patents to follow for routes to other destinations."--Gerard McMahon, Astronomy and Space "[A] wonderfully informative book... For anyone with an interest in this remarkable development in spaceflight the book is a must."--Colin Keay, Australian PhysicsTable of ContentsForeword by Neil deGrasse Tyson ix Preface xiii Acknowledgments xvii Chapter 1 A Moment of Discovery 1 Chapter 2 An Uncertain Start 5 Chapter 3 Conventional Way to the Moon 9 A Fuel Hog 14 Chapter 4 A Question 17 Chapter 5 Chaos and Surfing the Gravitational Field 29 What Is Chaos? 31 Chapter 6 Using Art to Find Chaotic Regions 37 An Oil Painting Unveiling Dynamical Processes 37 Chapter 7 WSB--A Chaotic No-Man's-Land 41 Chapter 8 Getting to the WSB--Low Energy Transfers 49 Chapter 9 Rescue of a Lunar Mission 55 Skepticism, Politics, and a Bittersweet Success 63 Chapter 10 Significance of Hiten 69 Chapter 11 Salvage of HGS-1, and a Christmas Present 77 Chapter 12 Other Space Missions and Low Energy Transfers 83 LGAS Reincarnated: SMART 1 83 Europa Orbiter and Prometheus 85 A Lunar Transportation System 91 Chapter 13 Hopping Comets and Earth Collision 95 Potential Earth Collision 108 Lexell 109 Jupiter-Hopping Earth-Crossing Comets Present a Danger 111 Kuiper Belt Objects and Neptune Hopping 113 Ballistic Escape from the Earth-Moon System, and Asteroid Capture 115 Chapter 14 The Creation of the Moon by Another World 119 Chapter 15 Beyond the Moon and to the Stars 129 Pluto to Alpha Centauri 129 Comets Moving between the Sun and Alpha Centauri 133 Chapter 16 A Paradigm Shift and the Future 137 Bibliography 141 Index 147

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Book SynopsisThis important book presents the most important articles by leading scholars in their fields which bring together three basic aspects of research into nonlinear dynamics and economics. The first papers deal with the theoretical methods used in analysing chaotic dynamics and the statistical tools to detect the presence of non linearities in economic data. The following articles discuss the models which are currently being used to stimulate nonlinear economic phenomena. The final papers apply these methods to a number of economic time series.The editor has written a new introduction to accompany the piece.Table of ContentsContents: Acknowledgements Introduction Part I: Methods Part II: Models Part III: Evidence Index

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Book SynopsisSymmetry suggests order and regularity whilst chaos suggests disorder and randomness. Symmetry in Chaos is an exploration of how combining the seemingly contradictory symmetry and chaos can lead to the construction of striking and beautiful images. This book is an engaging look at the interplay of art and mathematics, and between symmetry and chaos. The underlying mathematics involved in the generation of the images is described. This second edition has been updated to include the Faraday experiment, a classical experiment from fluid dynamics which illustrates that increasing the vibration amplitude of a container of liquid causes the liquid to form surface waves, instead of moving as a solid body. This second edition also includes updated methods for numerically determining the symmetry of higher dimensional analogues of the images. As well as this, it contains new and improved quality images.

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Book SynopsisThis is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group analysis, it is also shown for the first time that internal wave beams, representing exact solutions to the equation of motion of stratified fluid, can be found by solving the given model as invariant solutions of nonlinear equations of motion. On the illustrative basis, it is also shown that the presence of the invariant solutions makes it possible to construct a more general class of disturbances, which represent wave beams propagating in certain direction coinciding with the beam energy.This book is designed for specialists in Geophysical Fluid Dynamics, Ocean and Atmospheric Modeling, as well as for researchers, teachers and students — mathematicians and nonmathematicians — interested in methods of applied group analysis for investigating nonlinear problems in physical, engineering and natural sciences. It can also serve as a textbook on practical applications of symmetries of nonlinear differential equations for graduate students in applied mathematics, physics and engineering.Table of ContentsInternal Waves in Stratified Fluid: Introduction; Governing Equations; Two Model Examples; Fundamentals of Lie Group Analysis: Calculus of Differential Algebra; Transformation Groups; Symmetries of Differential Equations; Applications of Symmetries; Group Analysis of Internal Waves: Generalities; Conservation Laws; Group Invariant Solutions.

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Book SynopsisOne of the most striking applications of chaos theory in recent years, non-linear pricing uses genetic algorithms, fuzzy logic, fractal imaging and other cutting-edge technologies to identify and exploit patterns hidden within the seemingly helter-skelter rise and fall of daily stock prices.Trade Review"A lively and intriguing book from a writer who can range from Zen to mathematics."-Adam Smith, author of The Money Game and Paper Money "Nonlinear Pricing is an eminently readable book which I found satisfied both the theorist and the practitioner in me. For the theorist, there are new insights into the relationship between complexity and the markets. For the practitioner, there are practical ideas on how to fashion investment strategies. I highly recommend Nonlinear Pricing to all students of the markets."-Edgar E. Peters, Chief Investment Strategist, PanAgora Asset Management; author, Chaos and Order in the Capital Markets "Nonlinear Pricing goes further than any book I am aware of in drawing a connection between the real world of economics and the new ideas about economics coming from the science of self-organized systems. Written in a lively, informal style, this is a wonderful read for those of us who have been wondering whether anyone understands anything at all about how markets work."-Lee Smolin, PhD, Department of Physics, Pennsylvania State University "Required reading for the enlightened financial professional. Enjoyable for the intelligent investor. A dash of physics, bite-sized pieces of nonlinear concepts, and a broth of hands-on experience make this a cookbook for the modern trader."-Richard E. Morley, Potts Medal recipient and founder of the Breakfast Club "A real eye-opener-Nonlinear Pricing explains a complex subject in easy terms and makes the reader aware of the many opportunities offered by this new technology." -Richard Olsen, founder, Olsen and Associates, Zurich "I, of course, think highly of this book as it credits Dance of the Money Bees with inventing 'swarm theory', now a discipline in computer science. There are many other splendid insights." -John Train, author and President of the Montrose Fund "An extraordinary tour d'horizon, this book challenges conventional thinking about finance, investing, and much else besides. Brimming with ideas and eye-opening connections, it makes a powerful case for our need to understand the extent to which nonlinearity shapes our lives." -Andrew Freeman, Managing Editor, Financial Services, The Economist Intelligence Unit; co-author, Seeing Tomorrow: Rewriting the Rules of Risk "Nonlinear Pricing: Theory & Application by Christopher T. May makes nice reading even for people like me who are not economists. This is an ambitious book as it presents economics starting from fundamental physics. It deserves a large readership." -Ilya Prigogine, 1977 Nobel Laureate, Chemistry; author, The End of Certainty; and the world's foremost non-equilibrium scientistTable of ContentsA Toy Story for Wall Street. Nonlinearity: A Retrospective. Nonlinearity: A Prospective. Fractal Analysis. Results of the Hurst Exponent. Nonlinear Technology. Biology and the S&P. Father Time. Nonlinear Pricing-Advanced Concepts. The Last Word-Resonance. Appendix. Glossary. Bibliography. Index.

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