Chaos James Gleick Download 2021 13
Robert Worthey
Chaos: Making a New Science is a debut non-fiction book by James Gleick that initially introduced the principles and early development of the chaos theory to the public.[1] It was a finalist for the National Book Award[2] and the Pulitzer Prize[3] in 1987, and was shortlisted for the Science Book Prize in 1989.[4] The book was published on October 29, 1987 by Viking Books.
Chaos: Making a New Science was the first popular book about chaos theory. It describes the Mandelbrot set, Julia sets, and Lorenz attractors without using complicated mathematics. It portrays the efforts of dozens of scientists whose separate work contributed to the developing field. The text remains in print and is widely used as an introduction to the topic for the mathematical layperson. The book approaches the history of chaos theory chronologically, starting with Edward Norton Lorenz and the butterfly effect, through Mitchell Feigenbaum, and ending with more modern applications.
The Butterfly Effect
Edward Lorenz and his toy weather. The computer misbehaves. Long-range forecasting is doomed. Order masquerading as randomness. A world of nonlinearity. "We completely missed the point."Revolution
A revolution in seeing. Pendulum clocks, space balls, and playground swings. The invention of the horseshoe. A mystery solved: Jupiter's Great Red Spot.Life's Ups and Downs
Modeling wildlife populations. Nonlinear science, "the study of non-elephant animals." Pitchfork bifurcations and a ride on the Spree. A movie of chaos and a messianic appeal.A Geometry of Nature
A discovery about cotton prices. A refugee from Bourbaki. Transmission errors and jagged shores. New dimensions. The monsters of fractal geometry. Quakes in the schizosphere. From clouds to blood vessels. The trash cans of science. "To see the world in a grain of sand."Strange Attractors
A problem for God. Transitions in the laboratory. Rotating cylinders and a turning point. David Ruelle's idea for turbulence. Loops in phase space. Mille-feuilles and sausage. An astronomer's mapping. "Fireworks or galaxies."Universality
A new start at Los Alamos. The renormalization group. Decoding color. The rise of numerical experimentation. Mitchell Feigenbaum's breakthrough. A universal theory. The rejection letters. Meeting in Como. Clouds and paintings.The Experimenter
Helium in a Small Box. "Insolid billowing of the solid." Flow and form in nature. Albert Libchaber's delicate triumph. Experiment joins theory. From one dimension to many.Images of Chaos
The complex plane. Surprise in Newton's method. The Mandelbrot set: sprouts and tendrils. Art and commerce meet science. Fractal basin boundaries. The chaos game.The Dynamical Systems Collective
Santa Cruz and the sixties. The analog computer. Was this science? "A long-range vision." Measuring unpredictability. Information theory. From microscale to macroscale. The dripping faucet. Audiovisual aids. An era ends.Inner RhythmsA misunderstanding about models. The complex body. The dynamical heart. Resetting the biological clock. Fatal arrhythmia. Chick embryos and abnormal beats. Chaos as health.Chaos and Beyond
New beliefs, new definitions. The Second Law, the snowflake puzzle, and loaded dice. Opportunity and necessity.AfterwordNotes on Sources and Further ReadingAcknowledgmentsIndex
Science readers who have gone through relativity theory, quantum physics, Heisenbergian uncertainty, black holes and the world of quarks and virtual particles only to be stunned by recent Grand Unified Theories (GUTS) will welcome New York Times science writer Gleick's adventurous attempt to describe the revolutionary science of chaos. ``Chaos'' is what a handful of theorists steeped in math and computer know-how are calling their challengingly abstract new look at nature in terms of nonlinear dynamics. Gleick traces the ideas of these little-known pioneersincluding Mitchell Feigenbaum and his Butterfly Effect; Benoit Mandelbrot, whose ``fractal'' concept led to a new geometry of nature; and Joseph Ford who countered Einstein with ``God plays dice with the universe. But they're loaded dice.'' Chaos is deep, even frightening in its holistic embrace of nature as paradoxically complex, wildly disorderly, random and yet stable in its infinite stream of ``self-similarities.'' A ground-breaking book about what seems to be the future of physics. Illustrations. QPBC alternate. (October 20)
Chaos-theory, touted as the third revolution in 20th-century science after relativity and quantum mechanics, uses traditional mathematics to understand complex natural systems with too many variables to study. Philosophically, it counters the Second Law of Thermodynamics by demonstrating the ``spontaneous emergence of self-organization.'' In this new science apparent disorder is meaningful; the structure of chaos can be mapped by plotting graphically the calculations of nonlinear mathematics using ``fractal'' geometry, a brainchild of Benoit Mandelbrot in which symmetrical patterns repeat across different scales. With jocular descriptions of eccentric characters such as the ``Dynamical Systems collective,'' (a.k.a. Chaos Cabal) of the University of CaliforniaSanta Cruz, Chaos offers an absorbing look at trailblazers on a new scientific frontier. Laurie Tynan, Montgomery Cty.-Norristown P.L., Pa.
WHAT will the weather be in the United States next Presidential Election Day, Nov. 8, 1988? Those now making their pitches in Iowa and New Hampshire will think that a piece of information vital to their planning, and may be tempted to demand that the National Oceanographic and Atmospheric Administration (NOAA) should forthwith produce accurate forecasts for the big day. A few years ago, NOAA might have promised to do its best. Now, it would unashamedly say that the task is impossible. This has come about because of the development of the new field of applied mathematics called chaos.
Chaos, which may not sound like the obvious name of a branch of science, now has a sympathetic chronicler. In an ambitious and largely successful essay in popularization, James Gleick, a science reporter for The New York Times, has written a taut and exciting account of how this now fashionable field of study has emerged within the past 20 years from a ragbag of unsolved and often shamefully neglected problems in science and mathematics. His account is an explanation of chaos hung on a framework of the brief history of the field, but it is also deliberately a fascinating illustration of how the pattern of science changes. He calls the emergence of the concept of chaos a revolution in the sense in which that word was used by Thomas Kuhn, the historian of science, to describe the fitfulness of the progress of science.
People, Mr. Kuhn said, hang on to familiar concepts for as long as they can, allowing a ''paradigm shift'' to take place only long after it should have become plain that the old concepts do not suffice. It is nevertheless an open question whether the emergence of chaos is a revolution in Mr. Kuhn's somewhat overly simple sense or, alternatively, one of those occasions when there is such a collective falling of scales from people's eyes that it may be better described as a period of discovery.
This would not matter to numerical weather forecasters if they could be sure that similar starting points led always to similar end points. The essence of the paradox of the butterfly's wings is that they do not. Small differences in the starting points of mechanical systems can lead to huge differences in their conditions some time later. Nobody can be sure that a butterfly somewhere does not cause a disturbance of the atmosphere that when magnified with the passage of time becomes a hurricane somewhere else. It is natural that such behavior should be called chaotic. The development in time of a mechanical system that is theoreti-cally well understood may, for practical purposes, be unpredictable. Order gives way to chaos.
One of the strengths of Mr. Gleick's book is his artful use of examples such as this to demonstrate the ubiquity of chaos. The visits of the Voyager spacecraft to Jupiter and Saturn have shown that some of the satellites of those planets spin chaotically. Instead of turning regularly on an axis, they tumble about, never quite repeating themselves. It is the same with the movement of stars within a galaxy; they do not revolve about the center, as the planets of the solar system turn about the sun, but instead move in large ellipselike orbits which never quite repeat themselves. The periodic motions that are the hallmarks of classical mechanics give way to chaotic motion.
You can see the transformation when a spinning top, as it runs down, scrabbles about on its side. In quite different connections, chaos explains why plagues of gypsy moths recur sporadically, as do outbreaks of measles. Mr. Gleick neatly makes the case that these are also systems in which the rules of time succession are well determined, but in which chaos can spring from order.
He draws other, much deeper connections, of which the most startling is the one between chaos and the study of geometrical systems with fractional dimensions (called ''fractal''), neither one-dimensional (as on a line) nor two-dimensional (as on a plane) and so on. It is strange that these two quite novel (and fashionable) fields had quite different origins 20 years ago, but have since been discovered to be linked.
Mr. Gleick also ambitiously tackles the origins of chaos in the brooding of the Frenchman Jules Henri Poincare a century ago about the geometry of space of different kinds. That the underlying issues are geometrical is beyond dispute. If two similar states of today's weather yield two very different states of the weather 10 days from now, that must surely say something important about the space in which the system moves. Mr. Gleick also credits Soviet mathematicians with their important work - at a time when excitement about chaos was rising in the United States - on the turbulence that can be observed in pans of heated liquid, in the Gulf Stream or in the atmosphere, all of which is now being neatly welded into a coherent whole.
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