Science Books

Google

General

Science

Field

Agricultural Science
Anthropology
Archaeology
Astronomy
Behavioral Science
Biology
Chemistry
Earth Sciences
Engineering
Mathematics
Medical Science
Physics

Chemistry

Analytic Chemistry
Biochemistry
Clinical Chemistry
Crystallography
General Chemistry
Geochemistry
Industrial Chemistry
Inorganic Chemistry
Organic Chemistry
Physical and Theoretical Chemistry

Engineering

Aerospace Engineering
Automotive Engineering
Bioengineering
Chemical Engineering
Civil Engineering
Computer Technology
Electrical and Electronics
Environmental Engineering
Industrial Engineering
Materials Science
Mechanical Engineering
Nuclear Engineering
Geological Engineering
Reference-Engineering
Special Topics-Engineering
Telecommunications

Mathematics

Applied Mathematics
Biostatistics
Geometry and Topology
History-Mathematics
Infinity
Mathematical Analysis
Matrices
Mensuration
Number Systems
Popular and Elementary
Pure Mathematics
Recreation and Games
Reference-Mathematics
Research-Mathematics
Study and Teaching-Mathematics
Transformations
Trigonometry

Physics

Acoustics & Sound
Astrophysics
Biophysics
Chaos and Systems
Cosmology
Dynamics
Electromagnetism
Energy
Geophysics
Gravity
Light
Mathematical Physics
Mechanics
Molecular Physics
Nanostructures
Nuclear Physics
Optics
Quantum Theory
Relativity
Solid State Physics
Statics
System Theory
Time
Waves and Wave Mechanics




HobbyDo


Search Now:

CHAOS AND SYSTEMS BOOKS

Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by Edward N. Lorenz. By University of Washington Press. Sells new for $13.37. There are some available for $75.00.
Read more...

Purchase Information
4 comments about The Essence of Chaos (The Jessie and John Danz Lecture Series).
  1. Edward Lorenz takes a complicated topic and makes it accessible for all people, regardless of prior knowledge of chaos theory. He provides interesting and easy to follow examples of chaos, fractals and complexity. The illustrations are helpful and he includes a glossary of terms to aid the beginning chaos enthusiasts to quickly become familiar with the terminology. Mr. Lorenz gives a brief history of chaos and explains how it is used in the study of mathematics, meteorology, economics, music, and other fields. The book is very interesting and is highly recommended for those who would like to acquaint themselves with the exciting world of chaos.


  2. Lorenz has done it again. This is a terrific inside look at chaos by the man who made Gleick's book possible. And it had a few interesting new ideas too--who would have thought there was a different way to present fourth-order Runge-Kutta? Who would have thought Runge-Kutta could convert a phase-space circle to a nice-looking fractal attractor? A good book for the air plane.


  3. My first intro to chaos was Gleick's book *Chaos: Making a New Science* which focused on the history of the discovery of chaos. Although this was fascinating - and a good read for those just learning about dynamical systems, strange attractors, and the like - Lorenz's *Essence of Chaos* was much more satisfying. Lorenz analyzes specific chaotic functions, gives you the math (equations are in the appendix) and generally accomplishes what the title suggests - that is, exploring the essence of chaos. I highly recommend it for anyone interested in this deeply fascinating subject.


  4. Lorenz did a great job when he wrote this book!
    The very first time when I heard of chaos theory was year ago while watching some old documentary about Nostadamus. In film was mentioned chaos theory and said that acceptance of it by many people could change whole look to life and so on. Movie left to me questions - what is that theory, what it's standing for.
    Finaly my interest lead me to this book and it clearly showed me what kind of staff is that chaos theory! That was and is really intriguing!
    Book is well written. There was of course some places that wasn't easy to understand. I myself have studied high math,encountered differential equations but anyway had some difficulties. That's why not 5 stars to book - it's really not for absolutely everyone although almost close to it. I couldn't stop it reading, I was done in two days.
    This book encouraged me for further reading.


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by John Gribbin. By Random House. The regular list price is $24.95. Sells new for $14.85. There are some available for $11.77.
Read more...

Purchase Information
5 comments about Deep Simplicity: Bringing Order to Chaos and Complexity.
  1. I have just finished reading Deep Simplicity and felt the urge to tell anyone who would listen how I felt about the book. Read the other reviewers to find out what the book is about.

    There have been very few occasions and very few books that moved me in the way that Deep Simplicity did, for it is a work of art and without doubt a genuinely beautiful piece of literature. What's more, I feel that the beauty inherent in the book is self-similar on many scales, from the lucidly illustrative metaphors, to paragraphs that grab you as they weave delicately expounded threads together, to the overall structure and flow of the book itself. I felt privileged to have read the book.

    After I finished I was left with a tremendous sense of appreciation for and recognition with our planet, its biosphere, life, and the Universe at large; even for my fellow man - although our depredations are made strikingly apparent. My final and lasting feeling is one of profound enlightenment; something felt when previously reading Gribbin, but not to this extent.

    Thank You John Gribbin, for writing this book; $24.95 in one currency, priceless in another.


  2. It is a very informative, unique work by Gribbin about fascinating topics of physics, biology, life and Universe. What is more important it presents brand new experiments and many (maybe too many) mathematical models of network interconnections between simple parts and models of self-organized criticalities in the phase transition on the edge of chaos. This sounds like difficult text, and indeed, especially the third chapter (bifurcations and fractals) is not an easy read. Persistent and math inclined learner should try to grasp the sense of Power Law ("1/f noise"). Then after, satisfaction and pleasure of reading will grow, everything will become clear towards the end of the book. As a long time ago trained chemist, I was surprised discovering Lars Onsager's description of the FOURTH law of thermodynamics and that Alan Turing was not only an "iconic computer man" but worked on oscillating chemical reactions called "chemical clocks". These reactions (quote): "seemed to fly in the face of the second law of thermodynamics"! I was quite enlightened how phase transition can be explained as phenomena taking place on the edge of chaos. Last chapter is mostly devoted to James Lovelock and "Gaia Theory" presenting Earth as a self-organizing, entropy reducing system (check his last book "Revenge of Gaia"). Maverick physicist Lee Smolin has formulated the similar hypothesis about Milky Way. The field of chaos and complexity states that simple rules must underline many apparently noisy, complicated aspects of nature - and this is what John Gribbin writes about. Whether chaoplexologists will find any profound new scientific laws only time can tell. For now enjoy and reduce your entropy by absorbing information emanating from this book.


  3. I wish this book was available when I went to college. We studied a lot of the things John Gribbin talks about. But it was presented as something very abstract, "pure" advanced math without any connection to the real world around. As such it made for a VERY boring subject and torturous four years.

    I am truly amazed at how seemingly easy John Gribbin can take the same subject and explain it so eloquently and in very practical terms! In my view this is a perfect example of a great book (see Mortimer Adler's "How to Read a Book", a must for anyone who wants to read analytically) - it can teach most people something new and make your brain work at it.

    Finally, I would not have stumbled upon this book if it wasn't for Charlie Munger (of Berkshire Hathaway fame) and his annual book recommendations at BRK's annual meeting. He is a wise man and this was a proof that it's worth listening to anything he says.


  4. I had just finished reading James Gleick's Chaos (yes, finally got around to it) and found it well written and deserving of the praise it has received. It is an in depth look at the modern founding of chaos theory and left me wondering about the quickly evolving advances in more recent times. Deep Simplicity was the right choice for me to extend that search. I enjoyed the longer look back at non-linear systems investigations where the mathematics was simply too tedious to carry out by hand. The many iterations necessary to see patterns in results was not practical until the advent of the computer, all 4k of Lorenz' processing power! Gribbon does a commendable of summarizing Gleick's work and moving on to the present. He also expands the effort into a cosmic overview at the end which illustrates nicely the interaction of life and the galactic processes that sustain it. Ultimately, then, if all the parts are necessary, isn't it in some larger sense all alive? Maybe necessary but not sufficient? Gribbon states that the boarder between living and nonliving systems becomes blurred as a result. Nice. My only reservation is that had I not read Chaos first, I think I'd have had less success with Deep Simplicity on its own. As for chaos theory, it is an exciting new descriptive tool, but I'm waiting to see concrete application. Gribbon is a good writer, and I'm looking forward to reading more work by him in the future.


  5. without doubt, this nears limits of ability of man to integrate and articulate possible (?probable) sequence of events from origen of universe to origen of life, as it may be recognized by man. A scientific background and prior understanding of physics/biochemistry/universal law and concept of power laws makes reading "easier on the brain." A second or third reading of this wonderful book is truly worthwhile. For those "spiritual seekers" the author provides a potential platform for the Creators' activities.


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by John Holland. By Basic Books. The regular list price is $16.00. Sells new for $6.40. There are some available for $5.74.
Read more...

Purchase Information
5 comments about Hidden Order: How Adaptation Builds Complexity (Helix Books).
  1. In the worlds of Complexity and Artificial Intelligence, the name of John Holland is revered, and for good reason. One of the most important contributions to both fields was Holland's invention of genetic algorithms, a class of optimization techniques that applies a survival-of-the-fittest heuristic to a broad range of otherwise intractable problems. He is certifiably a genius, and his words on the subject of complexity should be considered close to the gospel.

    To the benefit of all mankind, this god of complexity has seen fit to lay down his word on the subject in a manner suitable to the masses. He posits seven basic properties of complex adaptive systems (worth reading and memorizing in their own right), then uses the rest of the book to demonstrate that adaptive systems possess these properties and shows us how a computer can capture such adaptive mechanisms. Pure gold and totally accessible.

    This book excels as an exposition of complex adaptive systems for the masses, and as a tutorial for the technically inclined. If you are so technically inclined, follow this book with Holland's "Emergence" and "Adaptation in Natural and Artificial Systems." Then head on over to Goldberg's book on genetic algorithms and maybe some Koza (a quick Amazon search can find these for you).



  2. The ideas presented in this book by John Holland are no doubt interestring. The thought of spontaneous self-organization though hardly new has intrigued humans for centuries. Intuitively it makes sense and appeals to most peoples physical and methaphysical sensibilities. We know and hope that there is more to life than our common sense knowledge of it and the often dull and mechanistic accounts of natural science. Emergence theory therefore has an immediate appeal. Holland manages to keep this "flame" alive for one chapter (the first one) then the wholle enterprise is drowned in techno babble and most "non-hacker" readers are bored and dissappointed. This book is one more instance of a genuinly interesting idea being mercilessly slaughtered by bad writing. It's a true waste. It makes you wish writing courses were made compulsory for natural scientists and techo folks. Unfortunatelly it is hard to reckommend a better book on this subject... Most of the existing books are either written by litterary incompetent but hard core techno devotees or by soft science writers ruminating the self evident and riding the tidal wave of hype. All for the buck and a snapshot in the spotlight. A non-trivial sign of an over-hyped field of inquiry, dangerously bordering the realms of pseudoscience. At least chaos theory had Edward Lorenz as a respectable and astute front figure, managing to keep the delicate balance between scientific integrity and popular appeal. As for emergence theory that post is still vacant. Holland may be an important contributor to the field of emergence theory but he fails the requirements for that post.


  3. I think this is an excellent book for someone interested in constructing complex adaptive systems. It clearly lays out the technical guidelines that you would need. And of course, it was written by the man who originated genetic algorithms!

    However, if you are new to the phenomena of complex adaptive systems (CAS) or agent-based models (ABM), this might not be the best intro book for you. This is particularly true if you are wondering what a genetic algorithm is right now. I think you will get the most out of the book if you are already somewhat familiar with CAS and ABM as Holland does not dwell on illustrative examples. (Yes there are examples, but they are very short compared to other authors on this topic.) Because of this, I think this book will be rather dry and technical and non-intuitive for a real newbie. If you have no idea where to begin, try _Growing Artificial Societies_ by Joshua Epstein and Robert Axtell.

    One final comment: for excellent in-depth look at the reiterated Prisoner's Dilemna model with genetic algorithms that Holland briefly discusses, read _The Complexity of Cooperation_ by Robert Axelrod. (Axelrod and Holland mention each other in their books.)



  4. It gave me the basic concepts in very clear and rogorous way


  5. Hidden Order is a seminar re-arranged into a book. The outcome is not a good read. It is tedious and lacks interesting cases.
    If complex adaptive systems are of interest, take a class and skip this book.


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by Duncan J. Watts. By W. W. Norton & Company. The regular list price is $17.95. Sells new for $10.12. There are some available for $6.99.
Read more...

Purchase Information
5 comments about Six Degrees: The Science of a Connected Age (Open Market Edition).
  1. The book is not a user's guide to social networking. This is not "Networking for Dummies"! It is a thoughtful treatment by an academic of a fascinating topic - or to be more precise - an intriguing network of interrelated topics.

    In presenting the material in his book, Dr. Watts tells two stories in parallel. At one level, he describes the evolution of his work and that of his colleagues in trying to solve the problem of modeling and understanding the dynamics within a wide variety of types of networks. The networks described include electric power grids, social networks, AIDS and Ebola virus epidemics, hierarchical organizational charts in Fortune 500 firms and financial markets. At another level, Watts uses the story of the arc of his research as a case study to describe the emergence of a whole new branch of science: the science of networks. In one sense, as I made my way through the ten chapters of this book, I felt I had been invited into a microbiology laboratory to view the results of experiments in which Watts and his gifted colleagues has served as human Petri dishes that had hosted the incubation of germs of ideas that had been cultured from a wide variety of disciplines and streams of thought.

    As a recruiter and an avid practitioner of social networking, I found much to ponder in these chapters. Chapter 5, "Search in Networks," is particularly relevant to the problem of how best to think about finding the right person via directed searches or broadcast searches. I also found enlightening Watt's tracing of the development of the popular concept of "Six Degrees of Separation" from its inception in 1967 the research of social psychologist Stanley Milgram into the "small-world problem." through its current level of cachet in popular parlance.

    As a Renaissance Soul who believes firmly in the value of helping companies to discover and to hire broadly educated leaders, I was particularly encouraged by Chapter 9, "Innovation, Adaptation, and Recovery." Standing on the shoulders of two MIT professors, Chuck Sabel and Michael Piore, whose 1984 book, The Second Industrial Divide, warned of a sea change in industrial organization, Watts surveys the challenges of organizational structure and communication in an age of ambiguity. Implicit throughout this book is a point that he makes explicit in this chapter: the only way to function effectively in this world of growing complexity and ambiguity is to utilize strategies of collaboration across traditional boundaries. This principle is true in facing the challenges of creating a new science of networking. Boundaries had to be crossed and chasms bridged that had traditionally separated scientists in their own fiefdoms of physics, economics, mathematics, sociology in order to be able to begin to model network behaviors and dynamics. I see the same dynamics at work in the nascent field of nanotechnology, in which biologists, physicists, material scientists, electrical engineers, optics specialists and software engineers are all working together to solve problems and grasp emerging opportunities.

    In much the same way, the only reasonable approach to resolving complex challenges within organizations is to create collaboration strategies that connect individual and teams that traditional have done their work in isolation from one another. As a compelling case in point, Watts dissects the Toyota-Aisin crisis of 1997 and its stunning resolution.

    I am more convinced than ever before that the challenges of complexity and ambiguity in the world of business will be faced most successfully by companies that have the vision to hire as leaders Renaissance Men and Women who understand at the very core of their being the value and power of collaboration across traditional boundaries of thought, academic discipline and functional role within an organization.

    I am grateful to Dr. Watts for taking his experience from academic work and making it applicable and accessible to those of use practicing outside the world of academia.


  2. I wrote this book review as an assignment for a class. Its intended audience was sociologists unfamiliar with network theory. The intended audience for the book though is much wider. If you want the math, read academic journals.

    In the first chapter of Six Degrees Duncan Watts notes that gossip, power outages, epidemics, even properties of the human brain such as consciousness are phenomena that may be understood as emerging from the interaction of their constituent elements. Through such examples, he calls attention to the broad applicability of his subject matter. Having provided this motivation, Watts spends much of first half of the book discussing what he knows best, "small world" networks. In the second half he presents a network perspective for a wide range of topics such as epidemics, externalities, speculation, social decision making, and organizations.

    Like many academics marketing books to non-academics, Watts skillfully weaves his personal story with the science. His personal story is not only provided to keep laymen interested. Watts is now a member of the sociology department at Columbia University, but one can't help but wonder whether he identifies as a sociologist? How would other members of the discipline respond to a youngster whose PhD is in theoretical and applied mechanics who may never have read Durkheim? His early collaborators were mathematicians, physicists, and computer scientists lodged in appropriate departments. Watts though, has become a strong proponent of interdisciplinary science, and he respectfully acknowledges research that has been done in anthropology, sociology, psychology and economics.

    His first foray in the social sciences was inspired by the "small world" phenomenon. When two people are surprised to learn they have mutual acquaintances, someone often says, "It's a small world." In 1967, social psychologist Stanley Milgram decided to investigate how small the world really is. He tasked randomly selected residents of Boston and Omaha with getting a letter to a stockbroker who lived in Massachusetts. The rule was, they could only send the letter to people they knew on a first name basis. Amazingly, the letters that reached their destination usually did it in just 6 steps. This finding was then misconstrued and became the urban legend that there are six degrees of separation between any two people. Despite the widespread interest in the small world phenomena, little progress was made understanding it over the next thirty years.

    Watts got interested in this problem when he was a graduate student in theoretical and applied mechanics. He and his advisor, Steven Strogatz, had been trying to understand how crickets' chirping becomes synchronized without a conductor cricket. Watts surmised that the timing of a cricket's chirp must be influenced by where it is located and the other crickets it is listening to. The ability to synchronize may depend on the structure of this network of crickets. The relationship between network structure and network phenomena such as synchronicity suddenly seemed broadly important, and he was surprised to learn how little mathematical attention it had garnered. Recalling the idea of "six degrees of separation," Watts and Strogatz turned to social networks and set about building simple models. Where Milgram had asked, "How small is the world?" they were now asking, "What does it take to make a world small?" This reframing of the problem was fundamental to the contribution they were to make.

    Watts and Strogatz settled on modeling just two facets of social networks. One was the "small world" aspect, quantified as average path length (the number of links required to connect two randomly chosen people). The second was clustering, the extent to which my friends overlap with my friends' friends. What makes small world networks surprising is that short path lengths and high clustering are inherently antagonistic. Paul Erd?s and Alfred R?nyi rigorously proved that path lengths are short in networks with no inclination towards increased clustering, a random graph in the parlance of mathematicians. At the opposite extreme, if everyone was friends with all of their friends' friends, short path lengths would be impossible (in fact social groups would be completely disconnected from each other). After countless computer simulations, Watts had two important results. The alpha model captured the small world balance of path length and clustering. The beta model showed that if a network was systematically clustered, to the point of fragmentation, just adding five random links (edges) halves the average path length. He then began acquiring and examining network data sets. Remarkably, Hollywood actor collaborations, the neurology of C. Elegans, the power grid of the Western United States, interlocking boards of directors and the world wide web are all small world networks.

    Next Watts reviews the work by L?zl? Barab?si, a physicist at the University of Notre Dame. His major contribution is research on scale free networks. Sociologists have long been concerned with questions surrounding the number of connections (degree) people have. Barab?si realized the importance of the degree distribution in a network. The degree distribution of many networks is approximately Poisson but Barabasi showed that the degree distribution of other important networks follows the highly skewed power-law. The distribution of wealth and the size of cities both fit this model. Furthermore he showed that this distribution will follow if the future growth rate is linearly related to the present size. This has obvious implications for these two examples and calls to mind Merton's Matthew Effect.

    Barab?si's book, Linked, is similar to Six Degrees in that is geared to the general public and reviews many of the most important advances in network scholarship. Do Watts and Barab?si overstate their case? Rather than get bogged down in the semantic debate that is likely to arise from the claim to a "new" science, we should appraise the value of this line of research. It clearly has potential but Watts himself sometimes alludes to the difficulties in achieving that potential. Watts' work is mostly theoretical. Six Degrees offers a thought provoking network perspective on many topics but little help harnessing the theory in empirical work. Appropriate data may be hard to come by. Perhaps Watts has provided ideas that creative empiricists will find ways to exploit, but there are methodological challenges that may prove to be stubborn.

    Despite some important exceptions such as Granovetter's Strength of Weak Ties sociologists have tended to take one of two approaches. One was to focus on the relationship between social structure and network structure. The other was to view network ties as sources of information or influence. This means exploring the association between position in a network, and a node's identity or power. Watts is right to call attention to the fact that these approaches usually ignored dynamics: changes in the network structure (changes in network connections), and what individuals do on the network (search for information, spread rumors, make decisions). Network data that captures these dynamics may be harder to come by.

    Furthermore, large detailed datasets may be limited by the computational power available. Even simple computer simulations can be very computationally demanding. Threshold models of decision making, discontinuous phase transitions and cascades - many of the fundamental concepts in the study of networks are nonlinear. Proving the existence of causal relationships is always a challenge but these complex systems make a hash of everything. The measured effect of an independent variable, on average or at the margin, tells us little about the importance of that variable.

    Despite a reasonable display of humility and respect, Watts should be criticized for the sociology he leaves out. Neither space limitations, nor a rush to publication can justify the gaps in his otherwise helpful recommendations for further reading. For example, Blau, Burt, Coleman, Homans, Laumann, Marwell and Oliver are conspicuously absent from the list. Perhaps this observation should not be overanalyzed but it does brings us back to how Watts will be received by sociologists and what impact he and scholars outside the discipline will have on sociology. It is hard for this reviewer to understand how anyone who reads this book could come away uncertain of the value of mathematics for theory development as well as empirical analysis. Model building can simplify and clarify, enhancing our intuition. Watts would never argue that all sociologists should drop what they're doing and begin running computer simulations, just that we should be open to such approaches. As he points out, "For any complex system, there are many simple models we can invent to understand its behavior. The trick is to pick the right one. And that requires us to think carefully, to know something about the essence of the real thing." Sociologists know something about the real thing. That's why we can't leave all the modeling to physicists and economists.


  3. No more other words to say, I am really satisfied with the service!


  4. We used this book in a doctoral seminar addressing shifting practices of "meaning making" in a networked society. It was the one book that everyone agreed was outstanding in all areas: aside from the depth and level of scholarship in Watts's work, he also has an extremely approachable style, one that will make the book useful to scholars and laymen alike.


  5. Random Graph Theory: Image throwing a box full of buttons on a table and then choosing a pair of buttons at random and connect them with a piece of string. What would the buttons look like over a period of time. "In particular, what features could we prove that all such networks must have?" If you pickup one of the buttons what would be its connected component? "The fraction of the nodes connected in a single component change suddenly when the average number of links per node exceeds one." If we add enough thread so each button has one thread the fraction of the graph that occupied by the largest component suddenly jumps from almost zero to one. A phase transition from unconnected to connected and the point this happens is called the critical point. "Phase transitions of one sort or another occur in many complex systems and have been used to explain phenomena as diver as the onset of magnetization, the explosion of disease epidemics, and the propagation of fads. In the particular case, the phase transition is driven by the addition of a small number of links right near the critical point that have the effect of connecting many very small clusters into a single giant component, which then proceeds to swallow up all the other nodes until everything is connected." "So the presence of a giant component means that whatever happens at one location in the network has the potential to affect any other location." "The line between isolation and connectedness is thus an important threshold for the flow of information, disease, money, innovations, fads, social norms, and pretty much everything else that we care about in the moder society. The global connectivity should arrive not incrementally but in a sudden, dramatic jump tells us something deep and mysterious about the world." Almost everything we know about complex networks tells us that "they are not random." "Nevertheless, if we would like to understand the properties and behavior of real-world networks, the issue of nonrandom structure is one that eventually has to be faced."


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by Steven H. Strogatz. By Hyperion. The regular list price is $14.95. Sells new for $5.15. There are some available for $4.00.
Read more...

Purchase Information
5 comments about Sync: How Order Emerges from Chaos in the Universe, Nature, and Daily Life.
  1. In his 1987 book Chaos, James Gleick noted that choatic systems produce periodic patches of order.

    At that time and during that state of research, the answer to the question of why this should be so remained largely unresolved. And to be honest, after reading this book and learning about the sync or synchronicity of how fireflies light up the night in unison and how inanimate pendulums can come to swing in unison the question will be still be largely unresolved.

    However, you will leave this book with some additional interesting food for thought.

    Why do periodic patches of order emerge in choatic systems?

    Well, one answer suggested seems to be that if that chaotic system produces periodic amounts of a like particle -- like an electron -- that those like particles can generally be relied upon to behave similarly. Then maybe it's the delicate calculus of these mutually constitued similar behaviors that helps give rise to the rise of order.

    But maybe not...and such is the state of research into this important issue.


  2. This book gave both nature and theoretical explanation of what sync is and how it might
    happen. Of course, its raminifaction still need a lot of exploration. This book is a good start and definite a good read for scientific inquiring mind. Read it and you know if you sync with this book.


  3. What a fun book. Strogatz has managed to talk about the leading edge of mathematical modeling without a single equation! He uses a comfortable prose and never strays too far from the story of his research. The reader is treated to a view of the way that the world network of scientists organizes itself within areas of research and finds unions where research from one speciality can contribute to another. Who would have thought that the western power grid, the Internet Movie Database and the nervous system of a worm called C. elegans could be effectively modeled with the same operational principles.


  4. What I found most interesting about Strogatz's sync theory was the position that it did not require an extensive measure of complexity in order to achieve synchronization. It merely required a critical mass or critical repetition in order to effectuate a phase transformation. The phenomenon of resonance performs similarly. Synchronization may be a form of resonance which has been overlooked, thus far, in our reality (biosphere).


  5. Author Steve Strogatz's book "Sync" ostensibly concerns the spontaneous synchronization of oscillators, where an "oscillator" is anything that exhibits periodic behavior -- be it a clock, a flashing firefly, or an electron in a superconductor.

    The book is clearly modeled on James Gleick's book "Chaos": both books follow various researchers who originally work in isolation but who gradually recognize that they are investigating different aspects of the same phenomenon. As Gleick did for chaos, Strogatz tries to portray spontaneous synchronization as a fundamental, unifying phenomenon in nature. However, many of Strogatz's examples are unimpressive: sleep patterns, the coordinated flashing of lightning bugs, etc. In the more important cases -- the heart's pacemaker cells, phase transitions -- the mechanisms' details haven't been elucidated, so it's not clear how synchronization actually operates. Gradually Strogatz wanders: He argues that in order to progress, science should abandon its traditional analytic approach of investigating the bits of a system and instead should investigate the interactions between the bits; in this connection, he discusses the game "6-degrees of separation," in which very different people are "linked" by chains of acquaintances.

    (Strogatz also follows Gleick's footnote format, which is a nuisance.)

    In reading this book, I had hoped to find deep insights from a principal investigator in the field; instead, I found entertainment for the math-phobic.


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by John H. Miller and Scott E. Page. By Princeton University Press. The regular list price is $25.95. Sells new for $22.58. There are some available for $17.77.
Read more...

Purchase Information
5 comments about Complex Adaptive Systems: An Introduction to Computational Models of Social Life (Princeton Studies in Complexity).
  1. Living systems are generally complex, dynamic adaptive systems with emergent properties that analytical models attending only to the local interactions of the system fail to capture. We must complement the standard analytical methods of physics, biology, and economics by additional mathematical tools, such as agent-based simulation and network theory.

    A complex system consists of a large population of similar entities (e.g., human individuals) who interact through regularized channels (e.g., networks, markets, social institutions) with significant stochastic elements, without a system of centralized organization and control (i.e., if there is a state, it controls only a fraction of all social interactions, and itself is a complex system). A complex system is adaptive if it evolves through some evolutionary (genetic, cultural, agent-based silicon, or other) process of hereditary reproduction, mutation, and selection.. Characterizing a system as complex adaptive does not explain its operation, and does not solve any problems. However, it suggests that certain modeling tools are likely to be effective that have little use in a non-complex system.

    Such novel research tools are needed because a complex adaptive system generally has emergent properties that cannot be analytically derived from its component parts. The stunning success of modern physics and chemistry lies in their ability to avoid or strictly limit emergence. Indeed, the experimental method in natural science is to create highly simplified laboratory conditions, under which modeling becomes analytically tractable. Physics is no more effective than economics or biology in analyzing complex real-world phenomena in situ.. The various branches of engineering (electrical, chemical, mechanical) are effective because they recreate in everyday life artificially controlled, non-complex, non-adaptive, environments that can directly apply the discoveries of physics and chemistry. This option is generally not open to most behavioral scientists, who rarely have the opportunity of ``engineering'' social institutions and cultures.

    Miller and Page stress that complex systems cannot be properly modeled using the statistical and mathematical tools associated with differentiable manifolds and normal statistical distributions. Rather, complex phenomena exhibit power law behavior in which statistical distributions have "fat tails" that lead to considerable activity far from the distributions central tendency. A rather stunning example, discussed in Chapter 9, is the size distribution of wars in the world occurring between 1820 and 1943. When the number of deaths in a war (a good measure of the size of the war) is 10 to the power n, the number of wars with this size is about 2 x 3 to the power 7-n.

    Miller and Page do a find job of making complexity analysis accessible to the non-expert, without overwhelming the reader with specialized aspects of agent-based modeling or dynamical systems. They provide an exciting stepping-off point for detailed studies in particular disciplines.


  2. I found this book to be a bit more technical than I expected. Very good reference book.


  3. Sometime I encounter books that are extremely important, that give me an appreciation for a knowledge domain I do not know enough about, and that I simply cannot read and review.

    This book, and Generative Social Science: Studies in Agent-Based Computational Modeling (Princeton Studies in Complexity) are two such books. I got half-way through this one, did the introduction to the other, from which I was immediately grabbed by the concept of:

    "instead of explaining it, can you grow it?"

    Howard Bloom, in Global Brain: The Evolution of Mass Mind from the Big Bang to the 21st Century teaches us that the only way to create a sustainable peace in the Palestine region is to provide absolute security for an entire generation, and raise two whole generations, one on each side, from kindergarten on us, generations that do not consider "the other" to be "pigs and monkeys" by the age of five.

    Similarly, the literature on wealth of networks and the fortune at the bottom of the pyramid is growing, and I am convinced that public intelligence (decision support, full disclosure, end of information asymmetries) is going to accomplish two things in the next twenty years:

    1) Eradicate corruption and enforce the triple-bottom line

    2) Elevate five billion poor by teaching them one cell call at a time so that they can create infinite stabilizing wealth.

    See for example:
    Infinite Wealth: A New World of Collaboration and Abundance in the Knowledge Era
    The Wealth of Networks: How Social Production Transforms Markets and Freedom
    Revolutionary Wealth: How it will be created and how it will change our lives
    The Fortune at the Bottom of the Pyramid: Eradicating Poverty Through Profits (Wharton School Publishing Paperbacks)

    So the very best thing I can say about this book is that I am glad I bought it, I am very glad to have a sense, however weak, of this important exploratory area, and now I know that I need a team of generative social scientists that can do complex modeling for peace and prosperity solutions.

    See also, just published at Amazon and free online at Earth Intelligence Network, Collective Intelligence: Creating a Prosperous World at Peace

    I urge one and all to become familiar with World Index of Social and Environmental Responsibility (WISER), as best I can tell that is the center of gravity for empowering individuals with deep knowledge of the true costs and many human rights abuses and other crimes that we support today for lack of knowledge. I also recommend the pioneering EarthGame work of Medard Gabel, at BigPictureSmallWorld.


  4. The authors do an excellent job of introducing the field to an educated audience. Any one who has a general college level education can read and understand the basics after reading the book. Tables and charts succinctly illustrate points Miller and Page make and illucidate the text.

    If you are looking for a book that discusses progamming, how to do, or other deeper aspects of the field, you will be disappointed. However, if you are just curious and want a good general introduction to the field, perhaps with the goal of further exploration, it is a good anchor from which to base your learning.


  5. A nice introduction material. You will learn how complex phenomena are currently studied . I will use this book as an intro material to complex systems in my economics course.
    My only complain is that the book scarcelly discuss aplications in social sciences!!! I have to use specific articles with applications for that. the author should supress the subtitle. but it is still an excellent book.


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by James Gleick. By Penguin (Non-Classics). The regular list price is $20.00. Sells new for $3.31. There are some available for $0.01.
Read more...

Purchase Information
5 comments about Chaos: Making a New Science.
  1. James Gleick changed my view on the scientific world forever in his book Chaos. I feel that I've removed my old, Euclidean perception of the world and have replaced it with a more complex, organic, and dynamic view. This book is a great introduction to chaos and is not meant to describe the applications of this theory. The applied sciences of chaos, complexity, or systems theories are readily available in journals and other pubs, just do a little research.


  2. Okay, so it was a bestseller. That doesn't mean you didn't miss it. It doesn't mean you shouldn't read it again. Order in chaos and vice versa, the butterfly that creates a typhoon, fractal geometry, wildlife populations and dripping faucets (about which, more in a future Soupletter) - a book about ideas formerly on the scientific fringe that are now considered on a par with Relativity Theory (which, you will remember, made a considerable bang). ContempIating this review, I picked up CHAOS at the library (three or four years had elapsed since my first read) and was sucked in afresh. Meet a scientist who experimented with 26 hour days, another who found an operational definition of free will. Fascinatin' Rythms, Smooth Noodle Maps, Ice Ages and heartbeats. This is physics where the rubber meets the road. You don't need to follow the math (I don't, I just roll on by ...) to appreciate the ride. "Beautifully lucid," according to the San Francisco Chronicle which one notes, is published beside a once lucidly beautiful bay.


  3. A popular science type of book (the popular part you can see from the numbers), where Gleick takes a look at the science of Chaos theory.

    Not in a rigorous mathematical way, but more in a history of and introduction and overview of the subject, with of course examples of what he is talking about throughout.


    3.5 out of 5


  4. Nutshell review - a good book, written well and very entertaining. A good introduction to chaos and complexity science for us lay-people.


  5. Chaos by James Gleick is a must read if you like keeping up with science or just like reading things that broaden the perspectives of your thinking. Gleick does a masterful job of simplifying the science of Chaos to a level any bright kid can understand while not diminishing any of its importance or ignoring any of the details. If you're curious about what a Klein bottle actually is or a Lorenzo's butterflies, this is the book for you. The illustrations of the Mandlbrot sets are truly amazing and worth the cost of the book just to look at. With his clear, concise style Gleick leads the reader through the history of Chaos science while building a strong foundation for the understanding of it. You don't need to know how to use a slide rule to read this book and it would be a memorable gift for any adult or child interested in science.


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by Steven Johnson. By Scribner. The regular list price is $15.00. Sells new for $4.62. There are some available for $2.87.
Read more...

Purchase Information
5 comments about Emergence: The Connected Lives of Ants, Brains, Cities, and Software.
  1. This book is well written and provides an insight to the science of emerergence and how it can help exlain the fundamental texture of everything from ant colonies to cafe-society. It is one of those rare books that readers will benefit from reading many times. For those with a scientific appreciation it fully satisfies while those readers with a more cultural focus will still find it very readable.

    The subject matter is highly important and may help create models of better societies in the economically and environmentally challenging years ahead. This book undoubtedly helps us to see a way.


  2. This is a pretty good read - it moves quickly and doesn't get you bogged down in the dna of the concept of emergence. go to wikipedia, read it. then pick up a copy of this and it will provide more context and usefulness. while this may not be the 'grand slam' of books...and to some degree it may be viewed as a popular fad topic...this book is better written than many that end up in the waste bend after page 47. if highlighter markings and cryptic notes in the margin are an indicator for me then it is safe to say that i got my money's worth...and...it contributed to my ongoing pondering of this and many other esoteric terms from the science realm.


  3. I purchased this book on something of a whim; it was listed as recommended by Amazon and looked like something worth checking out. This is appropriate because software systems that make recommendations based on history and feedback are one of the topics that get discussed in this book. The concept appealed to me for a number of reasons. First, it seemed like a fascinating study of complex systems and the relationship therein between the components, the system as a whole, and that which may be greater then the sum of its parts - that which is emergent. Which in fact, for a while it was. Second, I appreciate the idea that a city is a complex system that is not dissimilar to other complex systems. And third, I felt like taking a chance on something that just sounded interesting. Sadly, after high expectations brought on by a well developed first half, this book ultimately disappoints.

    Credit where credit is due, this book starts off as well as a book can. In keeping with the old adage that a picture is worth a thousand words, there is a wonderful illustration at the start of this book featuring a map of Hamburg dated circa 1850 next to a diagram of a human brain. Whether there is ultimately anything to them or not, the similarities are astounding. It really went a long way towards grabbing my attention and making this book one that I looked forward to reading. For half of the book, my expectations were met.

    The first three chapters take the seemingly mundane and unrelated topics of ant colonies, computer programs based on slime mold observations, and city layout, and make an effective comparison. Something I really liked early on about this book was its observation that both ant colonies and cities expand with an order that suggests a central plan, when in fact the main force behind their development is the elemental units just doing the things that they do. Soldier and worker ands don't do their jobs because the queen orders them to, they do them because taking care of the queen keeps the colony alive, thus sustaining their existence. Neighborhoods don't spring up because someone issues a decree to build homes, they spring up because people have wants and needs regarding where they live. And their existence in a certain place creates a continuing cycle, almost fractal in nature, of more people with their own set of wants and needs. The concept of evolution is also thrown in, and quite effectively.

    I think that the strongest point the book makes is that cities are not just clusters of people, they are patterns in time. Human beings wired the way they are seem predestined to create printing presses, newspapers, radios, communications networks, TV's, and internets. But here lies the problem with this book. This is potentially a great point, and I would argue a correct one. It's just that it comes along right at about the halfway point in the book. And after that there not much else other than words. The first half of this book does what the first half of a book should do, it develops an idea. But the development of an idea needs to lead to some sort of conclusion that contains some sense of resolution. Unfortunately, somewhere shortly after the start of chapter 4, this book lets go of all of the cohesion it so nicely developed and spins into seemingly endless and tired commentary about video games and the web. Moreover, the commentary is not very good, and becomes repetitive. By the last couple of chapters it becomes quite clear the only thing concluded will be that the author thinks that in a few more years something really significant is going to come about from recent technological changes. They always do. That in and of itself is not worth very much. In the author's defense, I did read this book in 2007 and it was written in 2000. But still, a book should say considerably more this one does.

    If the second half were as good as the first, this book could have been ground-breaking. I appreciate the first half, so I don't consider it a complete waste. However be prepared for quite a let down - 2 stars.


  4. I saw Steven Johnson's lively and a compellingly fascinating presentation on the topic of the book at a conference, which inspired my desire to read his book.


    Unfortunately, the 250+ pages of the book provide very little insight beyond a 30+ minute presentation. The writing style is not forceful or engaging, but rather dull and lifeless. The lasting feeling is that the author is attempting to make the book accessible to a group of smart 10 year olds by using short sentences, simple vocabulary and endlessly repeating the same ideas over and over again.

    The initial excitement wears off after about first 50 pages and the impetus to try to read it would help you stumble through the drudgery of another 50 pages, but except to give up sometime soon afterwards.


  5. The property of "emergence" is essentially the top-level or macro-level view of the behavior or intelligence of a system. The system can be an ant colony, the Internet, a nation, or any collection of individual agents or actors.

    To take one example, an ant colony, can be studied in terms of the individual intelligence and actions and behavior of the individual ants in the colony. This is the micro-view.

    However, collectively, the ants function together in a system (i.e., the colony). Thus, the colony can also be studied in terms of its behavior, intelligence and actions. This is the macro-view. This is the systems view. Emergent properties are the top level properties that "emerge" from the properties, functions, behavior and actions of the individual units in the system (i.e., the individual ants).

    Emergence is a very important concept, especially in terms of group behavior, the world wide web and the Internet, as well as in artifical intelligence and biological and ecological systems. Emergence is also a very important concept in "swarm intelligence" and "hive" type intelligence. These are important concepts for computer science, among many other fields.

    Thus the importance of this book which elucidates the concept of "emergence" by describing it in the context of several different areas of study in which it appears.


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by Albert-Laszlo Barabasi. By Plume. The regular list price is $15.00. Sells new for $4.00. There are some available for $4.00.
Read more...

Purchase Information
5 comments about Linked: How Everything Is Connected to Everything Else and What It Means.
  1. Excellent read. I'm a systems engineer by trade and although the book is by no means technical, it really drove the "connectedness" topic home for me as the author showed how objects naturally connect and grow in both real and abstract terms. If this sounds interesting- you will enjoy it too.


  2. Before reading this book, I didn't know that Networks theories are with us since serveral decades. I'm almost finishing it, but I couldn't wait to write something about the book; specially to recommend you to buy it!
    Barabasi work is really great. His redaction skills are as good that people without mathematics or science knowledge can understand and deeply learn Networks theory.


  3. This is the first book I've ever read tackling this subject. I've had some science, but physics wasn't my strong suit. This was a great intro, and it made me want to dig deeper.


  4. Reminds of "The World is Flat". It covers lots of ground really quickly. It was an interesting subject, something I've speculated a lot on my own and it was reinforcing to have a professional discuss lots of patterns (biology, physics, society, information networks) in a short-form context. It inspired me to write some graphics code based on the diagrams in the book and for that it was worth reading.


  5. This well-written, easy book is a good way to start learning about network theory. It discusses the history, some basics, and the broad application (or presence?) of networks in the world around us.
    However, it skims only the surface of what the research is all about, and leaves one thirsty for more, making it a good introduction to further studying (in my case, neural networks).

    The writing style is close to story-telling at times, and this got a bit on my nerves. Apart from that I really cannot say anything bad about this book, I am glad I purchased it.


Read more...


Posted in Chaos and Systems (Thursday, July 24, 2008)

Written by Leonard Mlodinow. By Pantheon. The regular list price is $24.95. Sells new for $14.40. There are some available for $15.61.
Read more...

Purchase Information
5 comments about The Drunkard's Walk: How Randomness Rules Our Lives.
  1. An intriguing book with fresh perspectives. While being entertaining to read, it is simultaneously very thought-provoking and informative with fascinating "historical background side trips" that add color, depth, and interest to the chapters.

    I personally found it extremely insightful. It offers more than a simple explanation of probability and how randomness can affect our lives. It is so thought-provoking as to inspire (me anyway) to review fundamental assumptions about the world and my place in it.

    It is not for those who are unprepared to examine personal assumptions about how life works-- some grounding in the statistical sciences would probably be a good background as well. Nevertheless, I would encourage any thoughtful, inquisitive person to read this book. Easily one of my favorites of all time.


  2. this is a great book, but it made my brain hurt.

    basically, the drunkard's walk is a history of the mathematical study of randomness, including physics, probability, normal distribution, and other concepts. but, really, it's a look at the role that randomness plays in our lives, and how most things are quantifiably less random than they may seem.

    there were dozens of times, while reading, that i thought, that makes complete sense, but i can't imagine that i'm going to remember it. this was often because the proof of the theory made sense at an objective level when explained, but was counter-intuitive to real life and regular ol' human thinking. a great example of this is the author's extended explanation of the marilyn vos savant "let's make a deal" problem. marilyn vos savant writes a column in parade magazine where she answers questions from readers, using her "world's record highest iq". she famously responded to a question, years ago, that posed this problem:
    if a contestant on "let's make a deal" (the 70s game show) were given three doors to choose from, and told that a new car was behind one of them, and lousy prizes behind the other two; then, after choosing a door, and having monty hall reveal one of the remaining doors as a loser prize and given the opportunity to shift choice on the remaining two, should the contestant make the change? her response was that, statistically -- yes, the odds are better if the contestant changes her answer.

    people freaked at her response, including lots of professional mathematicians, who (wrongly) argued that, with two remaining choices, the chances are still 50/50 that the car is behind the door of the contestant's original choosing.

    the proof of this fallacy is all based on probability computations. the contestant's original choice had a 33% chance of being correct -- or 1 in 3. but monty hall removed one of those three (knowing which doors had the good and loser prizes). so, sticking with the original choice still leaves the original probability of 1 in 3. but changing choices raises the probability to 1 in 2 -- better odds.

    the author acknowledges that while this kind of proof is true, and mathematically observable, it's contrary to how our brains are wired to consider options.

    that said, it was this kind of story - the book has hundreds of them -- and the author's wittiness, that kept me reading through the brain strain.

    oh, btw, the title refers to the term scientists use to describe the path of atoms and sub-atomic particles -- seemingly random as they carom off each other in a willy-nilly path. ultimately, this path is not actually random, but is merely beyond our ability to compute, based on the absurd quantity of possibilities rising from interactions with other moving particles.


  3. First, if you are bad at math,like me, most of this book is beyond reach or can at best be half understood. While he writes well, and makes a great effort to be clear, his talents can't overcome my brain wiring.(I have read over the Monty Hall deal three times and still don't get it). But when my knowledge and his explanations sync, there are great insights : regression to the mean(in any series of random events an exrtraordinary one is most likely to be followed by an ordinary one by chance; the insight is used in explaining how we confuse cause and effect); good thoughts on availability and confirmation bias; thoughts on why some businesses do well and others do not(same territory as "The Halo Effect"). But the gem is the last chapter, its title the same as the book's, where he says:give yourself a break, stuff happens both bad and good for no reason other than it does, but never forget that success may come your way if you are open to the universe and keep swinging away. "What I've learned , above all, is to keep marching forward because the best news is that since chance does play a role, one important factor in success is under our control: the number of at bats, the number of chances taken, the number of opportunities seized...or as IBM pioneer Thomas Watson said,"If you want to succeed, double your failure rate." The chapter is worth the price of the book.


  4. Here's a curious focus on how the cards are dealt, rather than who the dealer is. Despite all the erudite reviews, I believe there is an unfortunate omission of the factors resulting from crazy behavior. When the drunk drinks, he gets drunk. He KNOWS he'll reap disaster. But exercising his own willpower, he drinks anyway; he gets drunk anyway; and he reaps disaster any way.Cured! Proven Help for Alcoholics and Addicts. Then the drunk returns again to repeat the march back to the vomit and the mire. Mathematics may look on all this as random. But there is a completely different approach. Early AAs favored the Book of James and considered it absolutely essential to their program.The James Club and the Original A.A. Program's Absolute Essentials. Why? For one thing, its very first chapter presents the compelling choice. One can choose, with unwavering belief, to seek God's wisdom, strength, and guidance. Or he can choose to pursue temptation, enticement, disaster and death. The answer is still part of the first chapter. "Do not err, my beloved brethren." "Be ye doers of the word, not hearers only, deceiving your own selves." Self-deception is not random. It's nuts. Yielding to temptation is not random. It's nuts. Dying at the end of the process is not random. It's assured. And it's nuts too. Well, that's the choice - God or transgression of God's rules. Drunkenness is a no no. The drinker pursues it at his peril if he is an alcoholic.God and Alcoholism: Our Growing Opportunity in the 21st Century. And even alcoholism is not random. It may come from genes. It may come from bad friends and bad behavior. It may come from stress and distress. Or it may come from chemical imbalance. The scientists like to experiment with controlled conditions. The alcoholics like to drink in uncontrolled conditions. And it's crazy. So then comes the Book of James again with the early A.A. solution: James 4:7 says: "Submit yourselves therefore to God; resist the devil, and he will flee from you." In other words, if you can't hack it yourself, humble yourselves in the sight of the Lord and He will lift you up (James 4:10).When Early AAs Were Cured and Why, Third Edition. If all this seems too "spiritual" or too "religious," that's OK with me. But he who overlooks the wiles of the Adversary and the very present availability of the Creator's help is nut making a random choice in a random situation. He's just failing to put on the whole armor of God in recognition of the slings and arrows of the Adversary. So I'd add some other factors to this picture: temptation, the devil, and God. And their contrasting roles were well laid out in John 10:10.Why Early A.A. Succeeded: The Good Book in Alcoholics Anonymous Yesterday and Today God Bless, Dick B.


  5. The author is clearly knowledgeable and tries to explain probability and other mathematical theories clearly with good examples. He also includes a basic history of mathematical thought which I found fascinating. Chapters 9 and 10 depart from the theory-discussion and talk about how randomness impacts our lives and was much easier to understand. I liked Mlodinow's writing style and found his approach very warm and friendly - even if some of the concepts are difficult to understand.


Read more...


Page 1 of 168
1  2  3  4  5  6  7  8  9  10  11  20  30  40  50  60  70  80  90  100  110  120  130  140  150  160  
The Essence of Chaos (The Jessie and John Danz Lecture Series)
Deep Simplicity: Bringing Order to Chaos and Complexity
Hidden Order: How Adaptation Builds Complexity (Helix Books)
Six Degrees: The Science of a Connected Age (Open Market Edition)
Sync: How Order Emerges from Chaos in the Universe, Nature, and Daily Life
Complex Adaptive Systems: An Introduction to Computational Models of Social Life (Princeton Studies in Complexity)
Chaos: Making a New Science
Emergence: The Connected Lives of Ants, Brains, Cities, and Software
Linked: How Everything Is Connected to Everything Else and What It Means
The Drunkard's Walk: How Randomness Rules Our Lives

Copyright © 2005
*Amazon.com prices and availability subject to change.
Last updated: Thu Jul 24 08:59:48 EDT 2008