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Few writers distinguish themselves by their ability to write about complicated, even obscure topics clearly and engagingly. James Gleick, a former science writer for the New York Times, resides in this exclusive category. In Chaos, he takes on the job of depicting the first years of the study of chaos--the seemingly random patterns that characterize many natural phenomena.
This is not a purely technical book. Instead, it focuses as much on the scientists studying chaos as on the chaos itself. In the pages of Gleick's book, the reader meets dozens of extraordinary and eccentric people. For instance, Mitchell Feigenbaum, who constructed and regulated his life by a 26-hour clock and watched his waking hours come in and out of phase with those of his coworkers at Los Alamos National Laboratory.
As for chaos itself, Gleick does an outstanding job of explaining the thought processes and investigative techniques that researchers bring to bear on chaos problems. Rather than attempt to explain Julia sets, Lorenz attractors, and the Mandelbrot Set with gigantically complicated equations, Chaos relies on sketches, photographs, and Gleick's wonderful descriptive prose.
Customer Reviews:
A "must" if you strive to understand the mystery of the universe.......2007-09-07
No, this book won't change your life or anything, but if you're an enthusiastic reader of lay science books, like me, it's a must read. Gleick's style can get dense and repetitive at times, but the concepts that he is conveying are slippery, at best. It's hard to get an intellectual bead on them. So the repetition is appropriate.
And if you've ever wondered how in the universe order could evolve out of chaos, this book gives us a peak at the best clues there are to what lies behind the kimono.
Brilliant.......2007-06-25
This is another excellent book from Gleick, surely one of the best writers alive right now.
An engaging and readable introduction to Chaos Theory.......2007-03-29
Mathmeticians, physicists, and others that unlike me did not find college level calculus challenging may be slightly disappointed with this book. There are no real equations for the Mandelbrot Set on the cover or any of the other areas of the discipline that are illustrated so well throughout the book. I have to say that the book was extremely interesting and difficult to put down. The visual presentation rather than equations seemed effective to me and Gleick is a very good science writer. There is possibly no other book that has stirred interest in this subject as well as this book for the layman in its 20 years. If you're not disappointed that you won't need a calculator to read this, I think you would appreciate the explanations for this new perspective on physics, meterology, biology, geology and math. I think of this book many times when I see alluvial flow patterns in the sand, the veination of leaves, mammotous clouds. It's an eye opener to part of the world that you may not perceive or begin to understand without reading this book.
A pop-science take on Chaos.......2007-03-12
Is Chaos theory a new title? Or a catchy name tacked on to the science explained by non-linear math? Either way, James Gleick explains the emergence of a new non-mainstream science movement. Like most of his pop science work, Gleick delves into the history, personalities and impacts of the science, as opposed to the in depth mathematics behind it. Taken as that, it's a worthy book that meets it's goals - documenting what might have been the beginning of a great scientific revolution.
Whoa! What happened here?.......2007-02-24
Chaos is as great a science book as it gets outside of some of the better than your average undergrad science textbooks; i'm talking about the good textbooks like "Project Physics Course" or Morris Kline's "Calculus". As noted by some who obviously have pride in knowing the real thing, these types of books are not the real thing; the real question is 'are they worth anything?' Yes! These general science books that are good general science books are philosophy books.
This Chaos theory book has been ranked pretty highly for its philosophizing as far as I can tell. To say the least, this is where my shock at contemporary supposedly 'intellectuals' goes up! James Gliek goes on and on(he even has a whole chapter called "Revolution" in the book) about how Chaos theory is a new science(o.k. it is), and that this new science raises questions about scientific method; to say the least, if chaos theory challenges you on scientific method, then your already dead in the water as far as an understanding of science and its methods are concerned! In fact, humanity takes steps backwards if a book that argues this stance is so popular with the 'intellectual' community. Ernst Casserir and Jacob Bronowski way back in the stone ages of the 1900's had all this figured out. Jacob Bronowski's books were published because his articles were so popular! What happened?
What happened is a new generation was born every fifteen to twenty years, and they just learned what they needed to.
Getting back to James Gliek's 'Chaos', he talks about how Chaos theory blows up the 'reductionist' views of science. Chaos theory is somehow more holistic than previous sciences. Never mind how he never mentions how Maxwell's electromagnetism 'combines' light with electricity; quantum mechanics derives chemistry, and General Relativity derives newtonian mechanics, he never even mentions how the abstract nature of mathematics works. Mathematics is an abstraction(not the popular notions of empty and vagueness); abstraction is the common form that any set of similar structures can take on; the famous example is how a couple of oranges and apples are two concrete examples of the common form of the number two. Abstraction is a unification; all of mathematics and science concepts are such unifications at one time or another. A strange attractor does not break this scientific methodology; it is as much an abstraction as any scientific concept.
Scientists seem to have lost track of all this including all these transhumanists who just happen to be nanotechnologists
Book Description
Psychology and the social sciences are in need of a new foundation, one that provides a better model for understanding complex behavior. Chaos theory and its newest permutation, complexity theory, offers an innovative, exciting and potentially revolutionary leap forward in the evolution of scientific thought. In Clinical Chaos, therapists and theoreticians from various areas in the social sciences will explore the relevance and implications for non-linear dynamics in observing, explaining, and understanding human behavior. At last, the scientific search can again encompass surprise, transformation, unpredictability, and pattern. This book is intended to introduce social scientists to chaos through paths that are already familiar. By linking chaos theory with existing psychological theories and established areas of clinical pursuit, Clinical Chaos emphasizes the relevance of this new science in providing a more flexible useful model for complexities of life.
Book Description
The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at the undergraduate level. It was widely praised for the clarity of writing and for the unique and effective way in which the authors presented the basic ideas. These same qualities characterize this revised and expanded second edition. Interest in chaotic dynamics has grown explosively in recent years. Applications to practically every scientific field have had a far-reaching impact. As in the first edition, the authors present all the main features of chaotic dynamics using the damped, driven pendulum as the primary model. This second edition includes additional material on the analysis and characterization of chaotic data, and applications of chaos. This new edition of Chaotic Dynamics can be used as a text for courses on chaos for physics and engineering students at the second- and third-year level.
Customer Reviews:
From the pendulum to chaos in straightforward steps.......1998-05-06
Books that take you from undergraduate physics to a nontrivial understanding of nonlinear dynamics, chaos and fractals are rare. Chaotic Dynamics does the job ellegantly. The familiar pendulum is used to illustrate the basic techniques and concepts in nonlinear dynamics. The reader is gently introduced to phase diagrams, Poincare sections, basins of attraction and bifurcation diagrams. Computer code is included in the Appendix. The interested reader can use this code to further illustrate the lessons of the text or to embark on his/her own exploration of the pendulum and other dynamical systems. Having used the pendulum to establish a firm conceptual platform, Baker and Gollub progress gracefully into the logistic map to illustrate concepts such as period doubling, Lyapunov exponent, entropy, stretching and folding, and various measures of fractal dimension. The presentation is nicely rounded off with studies of other maps and nonlinear dynamical systems from a range of fields in physics, chemistry and fluid dynamics.
Chaos and True Basic Code.......1998-03-20
The gateway to experimental chaos research comes through here! The mathematics, the examples and code that illustrates the book is here. It is somewhat narrow in it's beginning approach, but delivers after careful study a beginning of understanding with some real industry. Not for the mathemaically shy or Professors like Ruelle, but for real people wanting real answers! Your unique Associates ID is: thefractaltransl.
Average customer rating:
- Not that good
- Good Introduction To Chaos
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Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists
J. M. T. Thompson , and
Hugh B. Stewart
Manufacturer: John Wiley & Sons Ltd (Import)
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ASIN: 0471909602 |
Book Description
Emphasizes the qualitative description of long-term recurrent motions of dissipative systems governed by genuinely nonlinear equations, with no assumptions of near-linearity. General concepts of the geometric theory are illustrated using computer simulations of specific ordinary differential and difference equations. The nonlinear phenomena discussed include the multiple attractors observable in a single system, chaotic long-term behaviour and its underlying order and structure, and discontinuous jump and hysteresis phenomena.
Customer Reviews:
Not that good.......2005-02-07
This book contains some standard topics treated on an elementary way. Unfortunatelly mathemathical formalism is almost left out.
The approach to the subject is pretty popular.
I think one is going to invest her/his own time in a better way by working first on V.I.Arnold's "Classical Mechanics" (symplectic formalism) then going on with E. Ott's "Chaos" (one of the best on the subject, but Lichtenberg-Liebermann is also a good one, in my opinion) and, finally, taking a look into some parts of Arnold's "Geometrical methods of ODE". More stuff is available on the Web (arxiv.org --> recent abstracts and new approaches on dynamical systems in Physics). This is a good way to gain a technical basis instead of a popular one.
Good Introduction To Chaos.......2004-03-27
The book is complex enough to provide good information on NLD, chaos, and the associated differential equations, but not so complex you can't get a firm working grasp of the subject. Lots of nice illustrations, clearly and concisely explained. Bifurcations, attractors and all that jazz is in there too if you want to make your own Poincare maps (also explained). I used the information from the book to generate visualizations of an externally excited system moving in and out of different modes of vibration. Such a techinique is not directly explaned in the text, but a good read of the first few chapters will provide the tools to do so. Recommended.
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The Logistic Map and the Route to Chaos: From the Beginnings to Modern Applications (Understanding Complex Systems)
Manufacturer: Springer
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ASIN: 3540283668 |
Book Description
Pierre-Francois Verhulst, with his seminal work using the logistic map to describe population growth and saturation, paved the way for the many applications of this tool in modern mathematics, physics, chemistry, biology, economics and sociology. Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to present a state-of-the art view of the many ramifications of the developments initiated by Verhulst over a century ago.
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Modeling Chemical Systems Using Cellular Automata
Lemont B. Kier ,
Paul G. Seybold , and
Chao-Kun Cheng
Manufacturer: Springer
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ASIN: 1402036574 |
Product Description
Molecular Modeling using Cellular Automata provides a practical introduction to an exciting modeling paradigm for complex systems. The book first discusses the nature of scientific inquiry using models and simulations, and then describes the nature of cellular automata models. It then gives detailed descriptions, with examples and exercises, of how cellular automata models can be used in the study of a wide variety chemical, physical, and biochemical phenomena. Topics covered include models of water itself, solution phenomena, solution interactions with stationary systems, first- and second-order kinetic phenomena, enzyme kinetics, vapor-liquid equilibrium, and atomic and molecular excited-state kinetics. The student experiences these systems through hands-on examples and guided studies, and there is room for further original experimentation using the accompanying computer program (on CD Rom).
This book is the first of its kind: a textbook and a laboratory manual about cellular automata modeling of common systems in chemistry. It is not only a text, but includes a CD Rom which allows readily-assimilated, real-time experience with the methodology and practice of cellular automata simulations. The book is designed to be used as a text in undergraduate courses dealing with complex systems and/or as a computational supplement to laboratory courses taught at the undergraduate level.
The book includes:
- Compact descriptions of a large variety of physical and chemical phenomena
- An accompanying program (CD) for the study of these phenomena
- Illustrative examples of simulations, with exercises for further study
- An instructor's manual for use of the program
The book will be of great value in undergraduate courses in chemistry, physics, biology, applied mathematics, and bioinformatics, and as a supplement for laboratory courses in introductory chemistry, organic chemistry, physical chemistry, medicinal chemistry, chemical engineering and other courses dealing with statistical and dynamic systems. It allows the exploration of a wide range of dynamic phenomena, many of which are not normally accessible within conventional laboratory settings due to limitations of time, cost, and experimental equipment.
Average customer rating:
- A good book for introduction
- An excellent introduction
- A excellent introduction to chaos
- fundamental, systematic
- Good book!
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Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers
Robert Hilborn
Manufacturer: Oxford University Press, USA
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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering
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Chaos in Dynamical Systems
ASIN: 0198507232 |
Book Description
Chaos and Nonlinear Dynamics introduces students, scientists, and engineers to the full range of activity in the rapidly growing field on nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, this book includes a thorough treatment of both differential equation models and iterated map models (including a derivation of the famous Feigenbaum numbers). It is the only book at this level to include the increasingly important field of pattern formation and a survey of the controversial questions of quantum chaos. Important tools such as Lyapunov exponents and fractal dimensions are treated in detail. With over 200 figures and diagrams, and analytic and computer exercises for every chapter, the book can be used as a course-text or for self-instruction. This second edition has been restructured to make the book even more useful as a course text:many of the more complex examples and derivations have been moved to appendices. The extensive collection of annotated references has been updated through January 2000 and now includes listings of World Wide Web sites at many of the major nonlinear dynamics research centers. From reviews on the 1/e: 'What has been lacking is a single book that takes the reader with nothing but a knowledge of elementary calculus and physics all the way to the frontiers of research in chaos and nonlinear dynamics in all its facets. [...] a serious student, teacher, or researcher would be delighted to have this book on the shelf as a reference and as a window to the literature in this exciting and rapidly growing new field of chaos.' J.C. Sprott, American Journal of Physics, September 19944 'I congratulate the author on having managed to write an extremely thorough, comprehensive, and entertaining introduction to the fascinating field of nonlinear dynamics. His book is highly self- explanatory and ideally suited for self-instruction. There is hardly any question that the author does not address in an exceptionally readable manner. [...] I strongly recommend it to those looking for a comprehensive, practical, and not highly mathematical approach to the subject.' E.A. Hunt, IEEE Spectrum, December 1994
Customer Reviews:
A good book for introduction.......2007-05-22
I have recently bought this book. I have been studying on evolution of the test particles in a particular planewave spacetimes, and I have realized that the system admits a non-integrable structure. I should investigate whether the particle motion emerges chaos or not. But, my knowledge on chaos was almost zero, before buying this book. Now, I am going to complete the full analysis of the book, and I am much more familiar to the concept of chaos. However, this book can be used for just begining. To proceed to the advanced problems you should look for other materials, especially to the articles about chaos. I advise this book as a first book to start chaos.
Dr. Izzet Sakalli
An excellent introduction.......2007-03-09
Covers the basics in an in-depth manner, and exposes the reader to a wide range of exciting problems in dynamical systems theory. THE book to start with if one is interested in chaos.
A excellent introduction to chaos.......2003-11-25
This is an accessible and readable introductory textbook on chaos and nonlinear dynamics. It focuses on the ideas behind the theory of chaos, rather than on the details of the mathematics which can sometimes hinder rather than help the reader gain real insight into the mechanisms of nonlinear systems.
By this I do not mean that the author skips over the required mathematics. The text is intended for people with a solid background in differential equations, and some familiarity with classical dynamical systems is also helpful if not completely necessary. I would say it is targeted for advanced undergraduate or beginning graduate students in the mathematical sciences, as well as scientists/engineers with no background in chaos theory. However he does not get bogged down in mathematics at the expense of physical insight. I have been studying the book on my own and have run into few problems in understanding the explanations.
The first chapter goes over 3 chaotic systems as a practical way of introducing the reader to various features of such systems. This provides a basis of practical experience to draw upon for the rest of the book, where the principles of chaos are examined in greater detail. The extensive references given in the book are a valuable addition that can be used to further explore the scientific literature. The references include journal papers as well as books, articles, and software for dynamical systems.
If you have the requisite mathematical background and want to learn the basics of chaos and nonlinear dynamics, I highly recommend this book.
fundamental, systematic.......2001-11-07
If you are looking for a textbook or reference on chaos theory, I recommend you to buy this book.
If you read other books, you will eventually comment,'chaos is something related to mathematics, very abstract, has nothing to do with my messy bedroom...'
But if you read this book, you will scream,'Great! I have figured out the richness of the nonlinear world. I understand the different dynamical routes to chaos. I know different quantifying methods with their pros and cons. Most fascinating is that chaos is related to pattern formation and self organization, which I consider them as another field of knowledge before. Also chaos may provide a new approach to quantum mechanics, a good news for those including me who do not believe in the parallel universe interpretation. By the way, I learnt a lot from this book!'
Good book!.......2000-08-05
If you want to get on into chaos, just read this book. I especially like the very wide scope of the subjects considered and the insight provided by the author in pattern formation or quantum chaos.
Customer Reviews:
Superb book........2007-06-15
This book provides an exceptional introduction to nonlinear dynamics. Math books are often trapped in equating rigor with formalisms and in compromising intuition to generalities. Strogatz book provides an exemplary guideline how both intuition and rigor may be served to transform a difficult topic into fun reading and highly applicable set of ideas. Here are the key elements of what you will find in this book.
A. The book builds up intuitive understanding of the key ideas of the field
from simple one dimensional dynamics to complex multi-dimensional behaviors.
B. Each chapter contains fascinating applications -- from fireflies synchronization and josephson junction to population dynamics and chaotic laser behaviors-- which are
fun to read and useful if you need to apply dynamics to solve research problems.
C. There are ample exercises and solutions to render this ideal book for self-learners. It provides a relatively broad coverage of the key ideas of the field, without taxing the reader with far corners of little interest.
Great book for beginners.......2007-05-14
Nonlinear dynamics and chaos is an excellent introductory book. It explains this complex looking subject in very simple and intuitive fashion. I recommend this book anyone who are interested in chaos/nonlinear dynamics. It even doubles as a fun book!
Great for an introduction but not for digging in for details.......2007-01-05
I think this is one of the best books for understanding the Phase Spaces and Bifurcations. It is really easy to follow and understand, even for people without background on nonlinear subjects. Yet, it is not the right book for engineers to read and start to solve their own detailed problems. People who seeks for a book to get into the subject or who wants to have a nice reference; BUY THIS BOOK. By the way, its price is reasonable.
Shockingly Readable.......2007-01-04
I bought this book as a textbook for a class, and I have to say that it is a surprisingly readable math book. The class only used the first few chapters, but I find myself flipping through the rest of the book and trying to understand more advanced material. This is a good book for a scientist who needs to learn linear and nonlinear dynamics but is a little intimidated.
Keep in mind, this is a math book, and no writer can turn math into something it isn't. Still, the writer gives lots of relevant examples (especially in the problems--the only complaint I have is that the solutions in the back don't give any explanation, and these solutions are a bit sparse), and milks as much storytelling out of the subject matter as is possible. I thoroughly recommend it--it brings out the closet math geek in everyone!
incredible!.......2006-06-13
This is probably the best math book I've ever read. Unlike other stuffy books, this one is very personable and informal. It is extremely readable, the explanations are crystal-clear and very intuitive and well-motivated, plus the author inserts a lot of humor (it's so nice to be reminded that mathematicians are humans). There are fascinating examples culled from applications.
I should note two things. First, it is not a proof-based book. It discuesses the cool theorems and gives intuitive justifications, but the author is clear that his goal is to build intuition and give experience with the techniques, rather than mathematical rigor (thankfully, he is honest about this and points to areas where more rigor could be introduced, rather than giving the unnatural and awkward hybrid of rigor and intuition attempted by many calculus books). Second, a lot of the problems (though certainly not all) deal with pathological and/or special cases, so it's possible for teachers to give fairly onerous homeworks.
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Poincare and the Three Body Problem (History of Mathematics, V. 11)
June Barrow-Green
Manufacturer: American Mathematical Society
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ASIN: 0821803670 |
Book Description
The idea of chaos figures prominently in mathematics today. It arose in the work of one of the greatest mathematicians of the late 19th century, Henri Poincaré, on a problem in celestial mechanics: the three body problem. This ancient problem--to describe the paths of three bodies in mutual gravitational interaction--is one of those which is simple to pose but impossible to solve precisely.
Poincaré's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincaré discovered mathematical chaos, as is now clear from Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincaré himself, recently discovered in the Institut Mittag-Leffler in Stockholm.
Poincaré and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincaré's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincaré's subsequent highly influential work in celestial mechanics.
Customer Reviews:
Stiff reading.......2007-01-06
This book is somewhere between an historical essay and a blow-by-blow analysis of one of Poincare's most important papers, which gave rise to many significant developments in 20th-century mathematics. You have to really like the subject of differential equations to get into this.
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Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics (Applied Mathematical Sciences)
Andrzej Lasota , and
Michael C. Mackey
Manufacturer: Springer
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Options, Futures and Other Derivatives (6th Edition)
ASIN: 0387940499 |
Book Description
This book gives a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial-differential equations. Examples have been drawn from a variety of the sciences to illustrate the utility of the techniques presented. This material was organized and written to be accessible to scientists with knowledge of advanced calculus and differential equations. In various concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and chastic integrals and differential equations are introduced. The past few years have witnessed an explosive growth in interest in physical, biological, and economic systems that could be profitably studied using densities. Due to the general inaccessibility of the mathematical literature to the non-mathematician, there has been little diffusion of the concepts and techniques from ergodic theory into the study of these "chaotic" systems. This book intends to bridge that gap.
Customer Reviews:
Excellent Book!.......2000-12-20
This is one of my favorite maths books. My interest in it is not so much for the discussion of chaotic systems, but more for that on stochastically perturbed systems. As far as this topic goes, this is the best book I've found in the field by far. The treatment is careful and self-contained, and the proofs are clear throughout. Lots of intuition is given with each result.
As a caveat, note that the approach is based on analysis in general and functional analysis in particular. If you prefer probabilistic arguments look somewhere else.
Books:
- Classical Dynamics of Particles and Systems
- Classical Dynamics of Particles and Systems
- Computational Materials Science: From Ab Initio to Monte Carlo Methods (Springer Series in Solid-State Sciences)
- Condensed Matter Physics
- Confocal and Two-Photon Microscopy: Foundations, Applications and Advances
- Contemporary Logic Design (2nd Edition)
- Death of a Salesman (Penguin Plays)
- Distillation Design
- Dual Language: Teaching and Learning in Two Languages, MyLabSchool Edition
- Electronic Transport in Mesoscopic Systems (Cambridge Studies in Semiconductor Physics and Microelectronic Engineering)
Books Index
Books Home
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Complexity: The Emerging Science at the Edge of Order and Chaos
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