The Laws Of Chaos

Classic work of political economics In this classic work of political economy, Emmanuel Farjoun and Moshé Machover rebuild two fundamental concepts of the discipline: price and profit. They redefine the basic notions of political economy, relying on probabilistic–statistical methods of the kind used in the modern foundations of other sciences. This amounts to a rigorous new foundation of the labour theory of value. A defining work of Econophysics, republished for the first time since 1983, Laws of Chaos remains a challenging, innovative work of Marxist economics.

A hundred years ago it became known that deterministic systems can exhibit very complex behavior. By proving that ordinary differential equations can exhibit strange behavior, Poincare undermined the founda tions of Newtonian physics and opened a window to the modern theory of nonlinear dynamics and chaos. Although in the 1930s and 1940s strange behavior was observed in many physical systems, the notion that this phenomenon was inherent in deterministic systems was never suggested. Even with the powerful results of S. Smale in the 1960s, complicated be havior of deterministic systems remained no more than a mathematical curiosity. Not until the late 1970s, with the advent of fast and cheap comput ers, was it recognized that chaotic behavior was prevalent in almost all domains of science and technology. Smale horseshoes began appearing in many scientific fields. In 1971, the phrase 'strange attractor' was coined to describe complicated long-term behavior of deterministic systems, and the term quickly became a paradigm of nonlinear dynamics. The tools needed to study chaotic phenomena are entirely different from those used to study periodic or quasi-periodic systems; these tools are analytic and measure-theoretic rather than geometric. For example, in throwing a die, we can study the limiting behavior of the system by viewing the long-term behavior of individual orbits. This would reveal incomprehensibly complex behavior. Or we can shift our perspective: Instead of viewing the long-term outcomes themselves, we can view the probabilities of these outcomes. This is the measure-theoretic approach taken in this book.

This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.

Every few years a book changes the way people think about a field. In psychology there is Daniel Goleman's Emotional Intelligence. In science, James Gleick's Chaos. In economics and finance, Burton Malkiel's A Random Walk Down Wall Street. And in business there is now Surfing the Edge of Chaos by Richard T. Pascale, Mark Millemann, and Linda Gioja. Surfing the Edge of Chaos is a brilliant, powerful, and practical book about the parallels between business and nature -- two fields that feature nonstop battles between the forces of tradition and the forces of transformation. It offers a bold new way of thinking about and responding to the personal and strategic challenges everyone in business faces these days. Pascale, Millemann, and Gioja argue that because every business is a living system (not just as metaphor but in reality), the four cornerstone principles of the life sciences are just as true for organizations as they are for species. These principles are: Equilibrium is death. Innovation usually takes place on the edge of chaos. Self-organization and emergence occur naturally. Organizations can only be disturbed, not directed. Using intriguing, in-depth case studies (Sears Roebuck, Monsanto, Royal Dutch Shell, the U.S. Army, British Petroleum, Hewlett Packard, Sun Microsystems), Surfing the Edge of Chaos shows that in business, as in nature, there are no permanent winners. There are just companies and species that either react to change and evolve, or get left behind and become extinct. Some examples: Parallels between Yellowstone National Park and Sears show why equilibrium is a dangerous place in both nature and business. How Monsanto used a "strange attractor" to move to the edge of chaos to alter its identity and transform its culture. The unlikely story of how the U.S. Army embraced the ideas of self-organization and emergence. Why the misapplication of linear logic (reengineering a business or attempting to eradicate predators in nature) will inevitably fail. The stories in Surfing the Edge of Chaos are of pioneering efforts that show how the principles of living systems produce bottom-line impact and profound transformational change. What's really striking about them, though, is their reality. They are about success and failure, breakthroughs and dead-ends. In short, they are like the business you are in and the challenges you face.

In this incisive and insightful book, Judge Andrew P. Napolitano peels back the legal veneer and shows how politicians, judges, prosecutors, and bureaucrats are trampling the U.S. Constitution in the name of law and order and fighting terrorism. Napolitano reveals how they: silence the First Amendment shoot holes in the Second break some laws to enforce others entrap citizens steal private property seize evidence without warrant imprison without charge kill without cause Pundits on the right, left, and center have praised Constitutional Chaos for its penetrating examination of our rights and liberties in the post-9/11 world. "Has the war on terrorism taken away some of your rights? In a non-ideological way, Judge Andrew P. Napolitano answers that crucial question. This book will open your eyes."-Bill O'Reilly "This book is a wake-up call for all who value personal freedom and limited government."-Rush Limbaugh "In all of the American media, Judge Napolitano is the most persistent, uncompromising guardian of both the letter and the spirit of the Constitution. . ."-Nat Hentoff Judge Andrew P. Napolitano is Fox News Channel's senior judicial analyst, seen by millions on The Big Story with John Gibson, The O'Reilly Factor, Fox and Friends, and other shows. Hisarticles and commentaries have been published in the Wall Street Journal, Los Angeles Times, St. Louis Post-Dispatch, Newark Star Ledger, and other national publications.

Chaos theory has captured scientific and popular attention. What began as the discovery of randomness in simple physical systems has become a widespread fascination with "chaotic" models of everything from business cycles to brainwaves to heart attacks. But what exactly does this explosion of new research into chaotic phenomena mean for our understanding of the world? In this timely book, Stephen Kellert takes the first sustained look at the broad intellectual and philosophical questions raised by recent advances in chaos theory—its implications for science as a source of knowledge and for the very meaning of that knowledge itself.

You know those corrupt lawyers who bribe judges, look the other way when a crime is committed, and break every rule meant to affirm order? I'm neither of those, I'm much worse. My father's only wish for me was to stay out of trouble. Well, that's hard to do when he worked for the mafia my entire life, along with the De Luca name that proceeds itself. Now I owe the mob, trust me, you never want to owe them anything. Big Tony has stepped down and his son Tino has taken over as the leader of M9. He's ruthless as he is gorgeous. He wants me and he doesn't care about my mixed heritage and I've fallen into his trap. If I'm not careful, instead of defending clients I'll need an attorney of my own. I'd like to think my tasks will be easy, but Tino isn't my only problem. He's assigned me to his twin brother, who is hot and an infuriating badass, who doesn't want to show me the ropes. It's funny because defending the law has always come easy to me, but now so has starting chaos. I am Maribella De Luca, the Rightful Boss of Jersey City.

A defining work of Econophysics, republished for the first time since 1983, Laws of Chaos is an attempt to construct a non-deterministic theoretical framework for the foundations of political economy. It relies on probabilistic and statistical methods of the kind used in the modern foundations of several other sciences, introducing scientific modelling into economics for the first time.